GCD of 972, 971, 291, 129 Calculator

Given Input numbers are 972, 971, 291, 129

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 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

Divisors of 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

GCD of numbers is the greatest common divisor

So, the GCD (972, 971, 291, 129) = 1.

Given numbers are 972, 971, 291, 129

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 971 are 971

Prime factors of 291 are 3 x 97

Prime factors of 129 are 3 x 43

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 972, 971, 291, 129

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(972, 971) = 943812

GCD(972, 971) = ( 972 x 971 ) / 943812

= 972 / 971

= 972

Step2:

LCM(1, 291) = 291

GCD(1, 291) = ( 1 x 291 ) / 291

= 1 / 291

= 1

Step3:

LCM(1, 129) = 129

GCD(1, 129) = ( 1 x 129 ) / 129

= 1 / 129

= 1

So, Greatest Common Divisor of 972, 971, 291, 129 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 213, 421, 232, 229
• GCD of 653, 147, 309, 975
• GCD of 198, 472, 557, 475
• GCD of 901, 190, 507, 354
• GCD of 232, 544, 140, 668

Given numbers are 972, 971, 291, 129
The greatest common divisor of numbers 972, 971, 291, 129 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 971, 291, 129 is 1.

1. What is the GCD of 972, 971, 291, 129?

GCD of given numbers 972, 971, 291, 129 is 1

2. How to calculate the greatest common divisor of 972, 971, 291, 129?

We can find the highest common divisor of 972, 971, 291, 129 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, 971, 291, 129 i.e 1.

3. How can I use the GCD of 972, 971, 291, 129Calculator?

Out the numbers 972, 971, 291, 129 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.