Online GCD Calculator is useful to find the GCD of 912, 976, 268, 724 quickly. Get the easiest ways to solve the greatest common divisor of 912, 976, 268, 724 i.e 4 in different methods as follows.
Given Input numbers are 912, 976, 268, 724
In the factoring method, we have to find the divisors of all numbers
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
GCD of numbers is the greatest common divisor
So, the GCD (912, 976, 268, 724) = 4.
Given numbers are 912, 976, 268, 724
The list of prime factors of all numbers are
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 268 are 2 x 2 x 67
Prime factors of 724 are 2 x 2 x 181
The highest common occurrence is 22
Therefore, GCD of 912, 976, 268, 724 is 4.
Given numbers are 912, 976, 268, 724
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(912, 976) = 55632
GCD(912, 976) = ( 912 x 976 ) / 55632
= 912 / 976
= 912
Step2:
LCM(16, 268) = 1072
GCD(16, 268) = ( 16 x 268 ) / 1072
= 16 / 268
= 16
Step3:
LCM(4, 724) = 724
GCD(4, 724) = ( 4 x 724 ) / 724
= 4 / 724
= 4
So, Greatest Common Divisor of 912, 976, 268, 724 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 912, 976, 268, 724
The greatest common divisor of numbers 912, 976, 268, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 912, 976, 268, 724 is 4.
1. What is the GCD of 912, 976, 268, 724?
GCD of given numbers 912, 976, 268, 724 is 4
2. How to calculate the greatest common divisor of 912, 976, 268, 724?
We can find the highest common divisor of 912, 976, 268, 724 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 912, 976, 268, 724 i.e 4.
3. How can I use the GCD of 912, 976, 268, 724Calculator?
Out the numbers 912, 976, 268, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.