Online GCD Calculator is useful to find the GCD of 628, 724, 876, 966 quickly. Get the easiest ways to solve the greatest common divisor of 628, 724, 876, 966 i.e 2 in different methods as follows.
Given Input numbers are 628, 724, 876, 966
In the factoring method, we have to find the divisors of all numbers
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 876 :
The positive integer divisors of 876 that completely divides 876 are.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
GCD of numbers is the greatest common divisor
So, the GCD (628, 724, 876, 966) = 2.
Given numbers are 628, 724, 876, 966
The list of prime factors of all numbers are
Prime factors of 628 are 2 x 2 x 157
Prime factors of 724 are 2 x 2 x 181
Prime factors of 876 are 2 x 2 x 3 x 73
Prime factors of 966 are 2 x 3 x 7 x 23
The highest common occurrence is 21
Therefore, GCD of 628, 724, 876, 966 is 2.
Given numbers are 628, 724, 876, 966
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(628, 724) = 113668
GCD(628, 724) = ( 628 x 724 ) / 113668
= 628 / 724
= 628
Step2:
LCM(4, 876) = 876
GCD(4, 876) = ( 4 x 876 ) / 876
= 4 / 876
= 4
Step3:
LCM(4, 966) = 1932
GCD(4, 966) = ( 4 x 966 ) / 1932
= 4 / 966
= 4
So, Greatest Common Divisor of 628, 724, 876, 966 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 628, 724, 876, 966
The greatest common divisor of numbers 628, 724, 876, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 724, 876, 966 is 2.
1. What is the GCD of 628, 724, 876, 966?
GCD of given numbers 628, 724, 876, 966 is 2
2. How to calculate the greatest common divisor of 628, 724, 876, 966?
We can find the highest common divisor of 628, 724, 876, 966 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 628, 724, 876, 966 i.e 2.
3. How can I use the GCD of 628, 724, 876, 966Calculator?
Out the numbers 628, 724, 876, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.