GCD of 972, 331, 491, 254 Calculator

Given Input numbers are 972, 331, 491, 254

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 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

Divisors of 491 :

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

1, 491

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

GCD of numbers is the greatest common divisor

So, the GCD (972, 331, 491, 254) = 1.

Given numbers are 972, 331, 491, 254

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 331 are 331

Prime factors of 491 are 491

Prime factors of 254 are 2 x 127

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

Given numbers are 972, 331, 491, 254

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

Apply this formula for all numbers.

Step1:

LCM(972, 331) = 321732

GCD(972, 331) = ( 972 x 331 ) / 321732

= 972 / 331

= 972

Step2:

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

= 1 / 491

= 1

Step3:

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

= 1 / 254

= 1

So, Greatest Common Divisor of 972, 331, 491, 254 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 145, 990, 155
• GCD of 975, 268, 595, 994
• GCD of 815, 830, 942, 963
• GCD of 444, 631, 358, 289
• GCD of 623, 808, 938, 518

Given numbers are 972, 331, 491, 254
The greatest common divisor of numbers 972, 331, 491, 254 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 331, 491, 254 is 1.

1. What is the GCD of 972, 331, 491, 254?

GCD of given numbers 972, 331, 491, 254 is 1

2. How to calculate the greatest common divisor of 972, 331, 491, 254?

We can find the highest common divisor of 972, 331, 491, 254 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, 331, 491, 254 i.e 1.

3. How can I use the GCD of 972, 331, 491, 254Calculator?

Out the numbers 972, 331, 491, 254 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.