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Find the greatest number which divides 285 and 1249 leaving remainders 9 and 7 respectively?
138.
What is required is the largest number n such that:
285 = jn + 9
1249 = kn + 7
So subtract the required remainders and then find the hcf of the results:
285 - 9 = 276
1249 - 7 = 1242
Find hcf of 276 and 1242:
1242 / 276 = 4 r 138
276 / 138 = 2 r 0
hcf of 276 and 1242 is 138.
Thus 138 is the largest number to divide 285 with a remainder of 9 and divides 1249 with a remainder of 7.
What else can I help you with?
What is the greatest no which divides 1675 and 2037 leaving a remainder 6 and 5 respectively?
There is no such number. 1675 - 6 = 1669 which is a prime. As a result, the only number that can divide it is 1 and 1669 itself. However, 1 not only divides 1669 but it also divides 1675. That is, 1 does not leave a remainder of 6 when dividing 1675.
The greatest number which divides 10698 6443 14995 leaving 18 35 43 as remainder respectively?
10698 ÷ gcf = n remainder 18 → gcf divides 10698 - 18 = 106806443 ÷ gcf = m remainder 35 → gcf divides 6443 - 35 = 640814995 ÷ gcf = k remainder 43 → gcf divides 14995 - 43 = 14952Therefore want gcf(10680, 6408, 14952) = 2136.Using prime factorization method:10680 = 2³ x 3 x 5 x 896408 = 2³ x 3² x 8914952 = 2³ x 3 x 7 x 89hcf = 2³ x 3 x 89 = 2136
A number that divides a given number leaving a zero remainder?
... is a "factor" of the given number.
Is 360 divisible by 2 3 4 5 and 9?
Dividing 360 by:2=1803=1204=905=729=40So the answer is yes.
List of numbers divisible by 2?
All of the even numbers are divisible by 2 leaving no remainders
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 the least number which divides 285 and 1249 leaving remainders 9 and 7?
To find the least number that divides 285 and 1249 leaving remainders of 9 and 7 respectively, we need to find the difference between the numbers and the remainders. The difference between 285 and 9 is 276, and the difference between 1249 and 7 is 1242. The least number that divides both 276 and 1242 is their greatest common divisor (GCD), which is 6. Therefore, the least number that divides 285 and 1249 leaving remainders 9 and 7 is 6.
Find the largest number that divides 285 and 1249 leaving reminder 9 and 7 respectively?
23.............
What is the greatest no which divides 1675 and 2037 leaving a remainder 6 and 5 respectively?
There is no such number. 1675 - 6 = 1669 which is a prime. As a result, the only number that can divide it is 1 and 1669 itself. However, 1 not only divides 1669 but it also divides 1675. That is, 1 does not leave a remainder of 6 when dividing 1675.
What is Greatest common factor of 10 and 7 and why?
It is 1 because it is the highest number that will divide evenly into both numbers leaving no remainders
What is the greatest common factor of 140 and 196 HOW TO SOLVE IT?
It is 28 because it is the highest number that will go into both numbers evenly and leaving no remainders
What is the greatest number which divides 279 and 233 leaving 3 as remainder in each number..?
It is: 46
What is the greatest number which divides 279 and 233 leaving 3 as remainder in each case?
46.
What are the factors of 200000000000000000000000000000000090099999999999999999999999999999999999?
They are the numbers divisible into it and leaving no remainders.
What goes into 331 and 1000?
Only 1 will go into both numbers leaving no remainders
What is the gcf of 200 and 135?
The Greatest Common Factor of 200 and 135 is 5. There are no further divisible numbers in common, leaving you with 40 and 27 respectively
What goes into 14 and 21?
1 and 7 will go into both numbers evenly leaving no remainders
