Online GCD Calculator is useful to find the GCD of 316, 172, 972, 655 quickly. Get the easiest ways to solve the greatest common divisor of 316, 172, 972, 655 i.e 1 in different methods as follows.
Given Input numbers are 316, 172, 972, 655
In the factoring method, we have to find the divisors of all numbers
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
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 655 :
The positive integer divisors of 655 that completely divides 655 are.
1, 5, 131, 655
GCD of numbers is the greatest common divisor
So, the GCD (316, 172, 972, 655) = 1.
Given numbers are 316, 172, 972, 655
The list of prime factors of all numbers are
Prime factors of 316 are 2 x 2 x 79
Prime factors of 172 are 2 x 2 x 43
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 655 are 5 x 131
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 316, 172, 972, 655
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(316, 172) = 13588
GCD(316, 172) = ( 316 x 172 ) / 13588
= 316 / 172
= 316
Step2:
LCM(4, 972) = 972
GCD(4, 972) = ( 4 x 972 ) / 972
= 4 / 972
= 4
Step3:
LCM(4, 655) = 2620
GCD(4, 655) = ( 4 x 655 ) / 2620
= 4 / 655
= 4
So, Greatest Common Divisor of 316, 172, 972, 655 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 316, 172, 972, 655
The greatest common divisor of numbers 316, 172, 972, 655 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 172, 972, 655 is 1.
1. What is the GCD of 316, 172, 972, 655?
GCD of given numbers 316, 172, 972, 655 is 1
2. How to calculate the greatest common divisor of 316, 172, 972, 655?
We can find the highest common divisor of 316, 172, 972, 655 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 316, 172, 972, 655 i.e 1.
3. How can I use the GCD of 316, 172, 972, 655Calculator?
Out the numbers 316, 172, 972, 655 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.