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To solve this you need the first common factor of 285 - 9 = 276 and 1249 - 7 = 1242 which is greater than 9 (if it was 9 or less it could NOT leave a remainder of 9 when divided into 285):
Common factors of 276 and 1242 are the factors of their hcf:
276 = 2² x 3 x 23
1242 = 2 x 3² x 23
hcf = 2 x 3 x 23 = 138
The factors of 138 which are the common factors of 276 and 1242 are: 1, 2, 3, 6, 23, 46, 69, 138
The first one greater than 9 is 23
→23 is the least number which divides 285 and 1249 to leave remainders of 9 and 7 respectively.
What else can I help you with?
How do you find the greatest number which divides 319 572 and 1329 leaving remainder 4 5 and 6 respectively?
To find the greatest number that divides 319, 572, and 1329 while leaving remainders of 4, 5, and 6 respectively, we need to use the Chinese Remainder Theorem. First, find the least common multiple of the three given divisors (4, 5, and 6), which is 60. Then, apply the Chinese Remainder Theorem to find the number that satisfies the given conditions. The solution will be the number that is congruent to 4 modulo 4, 5 modulo 5, and 6 modulo 6.
What is 26 as a binary number?
The decimal number 26 can be represented in binary as 11010. This is derived by dividing the number by 2 and recording the remainders. Starting from the least significant bit, the remainders give us the binary representation when read in reverse order.
What is the smallest number that divides into 343 evenly?
The smallest number that divides into 343 evenly is 1. The least factor of any integer is 1.
What are characteristics of a divisor?
A divisor is a number that divides another number evenly, leaving no remainder. Characteristics of a divisor include being a positive integer and being less than or equal to the number it divides. Additionally, every number has at least two divisors: 1 and itself. For example, the divisors of 12 are 1, 2, 3, 4, 6, and 12.
What is the least value of n where the remainders of 351n 352n equal when divided by 7?
ans:3 by Tamil dpi
How do you find the greatest number which divides 319 572 and 1329 leaving remainder 4 5 and 6 respectively?
To find the greatest number that divides 319, 572, and 1329 while leaving remainders of 4, 5, and 6 respectively, we need to use the Chinese Remainder Theorem. First, find the least common multiple of the three given divisors (4, 5, and 6), which is 60. Then, apply the Chinese Remainder Theorem to find the number that satisfies the given conditions. The solution will be the number that is congruent to 4 modulo 4, 5 modulo 5, and 6 modulo 6.
What is 26 as a binary number?
The decimal number 26 can be represented in binary as 11010. This is derived by dividing the number by 2 and recording the remainders. Starting from the least significant bit, the remainders give us the binary representation when read in reverse order.
Find the least number that should be subtracted from 1000 so that 30 divides the difference exactly?
which least number should be subtracted from 1000 so that 30 divides the difference exactly
What is the smallest number that divides into 343 evenly?
The smallest number that divides into 343 evenly is 1. The least factor of any integer is 1.
What are characteristics of a divisor?
A divisor is a number that divides another number evenly, leaving no remainder. Characteristics of a divisor include being a positive integer and being less than or equal to the number it divides. Additionally, every number has at least two divisors: 1 and itself. For example, the divisors of 12 are 1, 2, 3, 4, 6, and 12.
What is the least common factor of 6 10 and 15?
The least common factor - the smallest number which divides them all - is 1.
Is there such thing as a least common divisor?
As 1 divides every number, 1 is the least common divisor in all cases. The only exception is when all numbers considered are 0, as 0 divides all of them in that particular case and so is the least common divisor then.
What is the difference between greatest common factor and least common factor?
The greatest common factor of two (or more) integers is the biggest whole number that divides into each one of them. The least common factor is the smallest whole number that divides into each one of them and must be 1. Very possibly, you meant the least common multiple, however?
What is the LCM of 26 18 and 52?
Oh, dude, like, the least common multiple (LCM) of 26, 18, and 52 is 468. It's like the smallest number that all three of these numbers can divide into evenly without leaving any remainders. So, yeah, 468 is the magic number that makes these three buddies happy.
What is the least common multiple for any set of numbers?
It is the smallest positive integer such that each number in the set divides it evenly.
What is the least common divisor of 10 and 45?
The divisor of a number is a number which divides into that number. The least divisor of any number 1, so the least common divisor of 10 and 45 is also 1. Perhaps you meant "Least Common Multiple" (the smallest positive number which 10 and 45 divide without remainder) in which case LCM(10, 45) = 90 Or you meant "Highest Common Factor" (the largest positive number which divides into both 10 and 45 without remainder) in which case HCF(10, 45) = 5.
What is the least value of n where the remainders of 351n 352n equal when divided by 7?
ans:3 by Tamil dpi
