Online GCD Calculator is useful to find the GCD of 972, 908, 637, 518 quickly. Get the easiest ways to solve the greatest common divisor of 972, 908, 637, 518 i.e 1 in different methods as follows.
Given Input numbers are 972, 908, 637, 518
In the factoring method, we have to find the divisors of all numbers
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
Divisors of 637 :
The positive integer divisors of 637 that completely divides 637 are.
1, 7, 13, 49, 91, 637
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
GCD of numbers is the greatest common divisor
So, the GCD (972, 908, 637, 518) = 1.
Given numbers are 972, 908, 637, 518
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 908 are 2 x 2 x 227
Prime factors of 637 are 7 x 7 x 13
Prime factors of 518 are 2 x 7 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 908, 637, 518
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 908) = 220644
GCD(972, 908) = ( 972 x 908 ) / 220644
= 972 / 908
= 972
Step2:
LCM(4, 637) = 2548
GCD(4, 637) = ( 4 x 637 ) / 2548
= 4 / 637
= 4
Step3:
LCM(1, 518) = 518
GCD(1, 518) = ( 1 x 518 ) / 518
= 1 / 518
= 1
So, Greatest Common Divisor of 972, 908, 637, 518 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 908, 637, 518
The greatest common divisor of numbers 972, 908, 637, 518 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 908, 637, 518 is 1.
1. What is the GCD of 972, 908, 637, 518?
GCD of given numbers 972, 908, 637, 518 is 1
2. How to calculate the greatest common divisor of 972, 908, 637, 518?
We can find the highest common divisor of 972, 908, 637, 518 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 972, 908, 637, 518 i.e 1.
3. How can I use the GCD of 972, 908, 637, 518Calculator?
Out the numbers 972, 908, 637, 518 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.