GCD of 972, 432, 60, 491 Calculator

Given Input numbers are 972, 432, 60, 491

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 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

GCD of numbers is the greatest common divisor

So, the GCD (972, 432, 60, 491) = 1.

Given numbers are 972, 432, 60, 491

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 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 491 are 491

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

Given numbers are 972, 432, 60, 491

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

Apply this formula for all numbers.

Step1:

LCM(972, 432) = 3888

GCD(972, 432) = ( 972 x 432 ) / 3888

= 972 / 432

= 972

Step2:

LCM(108, 60) = 540

GCD(108, 60) = ( 108 x 60 ) / 540

= 108 / 60

= 108

Step3:

LCM(12, 491) = 5892

GCD(12, 491) = ( 12 x 491 ) / 5892

= 12 / 491

= 12

So, Greatest Common Divisor of 972, 432, 60, 491 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 781, 11, 611
• GCD of 389, 557, 49, 550
• GCD of 354, 464, 78, 203
• GCD of 619, 206, 81, 935
• GCD of 238, 126, 86, 949

Given numbers are 972, 432, 60, 491
The greatest common divisor of numbers 972, 432, 60, 491 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 432, 60, 491 is 1.

1. What is the GCD of 972, 432, 60, 491?

GCD of given numbers 972, 432, 60, 491 is 1

2. How to calculate the greatest common divisor of 972, 432, 60, 491?

We can find the highest common divisor of 972, 432, 60, 491 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, 432, 60, 491 i.e 1.

3. How can I use the GCD of 972, 432, 60, 491Calculator?

Out the numbers 972, 432, 60, 491 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.