GCD of 972, 412, 631, 277 Calculator

Given Input numbers are 972, 412, 631, 277

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 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 631 :

The positive integer divisors of 631 that completely divides 631 are.

1, 631

Divisors of 277 :

The positive integer divisors of 277 that completely divides 277 are.

1, 277

GCD of numbers is the greatest common divisor

So, the GCD (972, 412, 631, 277) = 1.

Given numbers are 972, 412, 631, 277

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 412 are 2 x 2 x 103

Prime factors of 631 are 631

Prime factors of 277 are 277

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

Given numbers are 972, 412, 631, 277

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

Apply this formula for all numbers.

Step1:

LCM(972, 412) = 100116

GCD(972, 412) = ( 972 x 412 ) / 100116

= 972 / 412

= 972

Step2:

LCM(4, 631) = 2524

GCD(4, 631) = ( 4 x 631 ) / 2524

= 4 / 631

= 4

Step3:

LCM(1, 277) = 277

GCD(1, 277) = ( 1 x 277 ) / 277

= 1 / 277

= 1

So, Greatest Common Divisor of 972, 412, 631, 277 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 663, 966, 735
• GCD of 284, 103, 176, 543
• GCD of 786, 949, 989, 750
• GCD of 266, 212, 150, 911
• GCD of 648, 979, 357, 826

Given numbers are 972, 412, 631, 277
The greatest common divisor of numbers 972, 412, 631, 277 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 412, 631, 277 is 1.

1. What is the GCD of 972, 412, 631, 277?

GCD of given numbers 972, 412, 631, 277 is 1

2. How to calculate the greatest common divisor of 972, 412, 631, 277?

We can find the highest common divisor of 972, 412, 631, 277 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, 412, 631, 277 i.e 1.

3. How can I use the GCD of 972, 412, 631, 277Calculator?

Out the numbers 972, 412, 631, 277 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.