Online GCD Calculator is useful to find the GCD of 472, 954, 656, 628 quickly. Get the easiest ways to solve the greatest common divisor of 472, 954, 656, 628 i.e 2 in different methods as follows.
Given Input numbers are 472, 954, 656, 628
In the factoring method, we have to find the divisors of all numbers
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 954 :
The positive integer divisors of 954 that completely divides 954 are.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
GCD of numbers is the greatest common divisor
So, the GCD (472, 954, 656, 628) = 2.
Given numbers are 472, 954, 656, 628
The list of prime factors of all numbers are
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 954 are 2 x 3 x 3 x 53
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
Prime factors of 628 are 2 x 2 x 157
The highest common occurrence is 21
Therefore, GCD of 472, 954, 656, 628 is 2.
Given numbers are 472, 954, 656, 628
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(472, 954) = 225144
GCD(472, 954) = ( 472 x 954 ) / 225144
= 472 / 954
= 472
Step2:
LCM(2, 656) = 656
GCD(2, 656) = ( 2 x 656 ) / 656
= 2 / 656
= 2
Step3:
LCM(2, 628) = 628
GCD(2, 628) = ( 2 x 628 ) / 628
= 2 / 628
= 2
So, Greatest Common Divisor of 472, 954, 656, 628 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 472, 954, 656, 628
The greatest common divisor of numbers 472, 954, 656, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 954, 656, 628 is 2.
1. What is the GCD of 472, 954, 656, 628?
GCD of given numbers 472, 954, 656, 628 is 2
2. How to calculate the greatest common divisor of 472, 954, 656, 628?
We can find the highest common divisor of 472, 954, 656, 628 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 472, 954, 656, 628 i.e 2.
3. How can I use the GCD of 472, 954, 656, 628Calculator?
Out the numbers 472, 954, 656, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.