GCD of 631, 162, 498, 972 Calculator

Given Input numbers are 631, 162, 498, 972

In the factoring method, we have to find the divisors of all numbers

Divisors of 631 :

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

1, 631

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

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

GCD of numbers is the greatest common divisor

So, the GCD (631, 162, 498, 972) = 1.

Given numbers are 631, 162, 498, 972

The list of prime factors of all numbers are

Prime factors of 631 are 631

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 498 are 2 x 3 x 83

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 631, 162, 498, 972

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

Apply this formula for all numbers.

Step1:

LCM(631, 162) = 102222

GCD(631, 162) = ( 631 x 162 ) / 102222

= 631 / 162

= 631

Step2:

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

= 1 / 498

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 631, 162, 498, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 940, 415, 643, 893
• GCD of 387, 308, 828, 978
• GCD of 531, 573, 768, 272
• GCD of 682, 995, 228, 544
• GCD of 302, 443, 567, 230

Given numbers are 631, 162, 498, 972
The greatest common divisor of numbers 631, 162, 498, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 631, 162, 498, 972 is 1.

1. What is the GCD of 631, 162, 498, 972?

GCD of given numbers 631, 162, 498, 972 is 1

2. How to calculate the greatest common divisor of 631, 162, 498, 972?

We can find the highest common divisor of 631, 162, 498, 972 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 631, 162, 498, 972 i.e 1.

3. How can I use the GCD of 631, 162, 498, 972Calculator?

Out the numbers 631, 162, 498, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.