GCD of 972, 897, 922, 677 Calculator

Given Input numbers are 972, 897, 922, 677

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 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

GCD of numbers is the greatest common divisor

So, the GCD (972, 897, 922, 677) = 1.

Given numbers are 972, 897, 922, 677

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 897 are 3 x 13 x 23

Prime factors of 922 are 2 x 461

Prime factors of 677 are 677

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

Given numbers are 972, 897, 922, 677

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

Apply this formula for all numbers.

Step1:

LCM(972, 897) = 290628

GCD(972, 897) = ( 972 x 897 ) / 290628

= 972 / 897

= 972

Step2:

LCM(3, 922) = 2766

GCD(3, 922) = ( 3 x 922 ) / 2766

= 3 / 922

= 3

Step3:

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

= 1 / 677

= 1

So, Greatest Common Divisor of 972, 897, 922, 677 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 106, 103, 424
• GCD of 852, 523, 849, 738
• GCD of 297, 510, 978, 427
• GCD of 979, 667, 946, 764
• GCD of 221, 190, 368, 198

Given numbers are 972, 897, 922, 677
The greatest common divisor of numbers 972, 897, 922, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 897, 922, 677 is 1.

1. What is the GCD of 972, 897, 922, 677?

GCD of given numbers 972, 897, 922, 677 is 1

2. How to calculate the greatest common divisor of 972, 897, 922, 677?

We can find the highest common divisor of 972, 897, 922, 677 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, 897, 922, 677 i.e 1.

3. How can I use the GCD of 972, 897, 922, 677Calculator?

Out the numbers 972, 897, 922, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.