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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.

Q: What is the least number which divides 285 and 1249 leaving remainders 9 and 7?

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The smallest number that divides into 343 evenly is 1. The least factor of any integer is 1.

ans:3 by Tamil dpi

The least common factor of 12 14 and 2 is 1.The least common factor is the smallest number that divides all three of them, which is 1 for any set of numbers.However, you either mean:The highest common factor of 12, 14 & 2 which is 2 (the largest number that divides all three of them)orThe lowest common multiple of 12, 14 & 2 which is 84 (the smallest number that is divisible by all three of them).

1,560 is.

For a number to be divisible by another number it must be at least that number. As 3 is less than 837 it cannot be divisible by 837. However, 3 IS a FACTOR of 837, that is 3 divides into 837 without remainder.

Related questions

which least number should be subtracted from 1000 so that 30 divides the difference exactly

The smallest number that divides into 343 evenly is 1. The least factor of any integer is 1.

The least common factor - the smallest number which divides them all - is 1.

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.

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?

It is the smallest positive integer such that each number in the set divides it evenly.

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.

ans:3 by Tamil dpi

The least common factor of 12 14 and 2 is 1.The least common factor is the smallest number that divides all three of them, which is 1 for any set of numbers.However, you either mean:The highest common factor of 12, 14 & 2 which is 2 (the largest number that divides all three of them)orThe lowest common multiple of 12, 14 & 2 which is 84 (the smallest number that is divisible by all three of them).

Expressing each number as the product of prime numbers can help a lot.First of all, we will find the greatest number which divides both number and then it is multiplied with other numbers in prime factorization of 34 and 20.Here the greatest number which divides both is 2.34: 2x17 and 20: 2x2x5L.C.M. = 2x17x2x5 = 34x10 = 340

The least common denominator requires two values. It is the largest number that evenly divides (that is, without a remainder) two numbers. Since 59 is prime, the least common divisor between it and another number will either be 1 or 59. It would be 59, if 59 divided the other number. Otherwise it will be 1.

1,560 is.