GCD of 998, 972, 637, 108 Calculator

Given Input numbers are 998, 972, 637, 108

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

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 637 :

The positive integer divisors of 637 that completely divides 637 are.

1, 7, 13, 49, 91, 637

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (998, 972, 637, 108) = 1.

Given numbers are 998, 972, 637, 108

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

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

Prime factors of 637 are 7 x 7 x 13

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

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

Given numbers are 998, 972, 637, 108

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

Apply this formula for all numbers.

Step1:

LCM(998, 972) = 485028

GCD(998, 972) = ( 998 x 972 ) / 485028

= 998 / 972

= 998

Step2:

LCM(2, 637) = 1274

GCD(2, 637) = ( 2 x 637 ) / 1274

= 2 / 637

= 2

Step3:

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

= 1 / 108

= 1

So, Greatest Common Divisor of 998, 972, 637, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 422, 634, 320, 156
• GCD of 391, 397, 896, 800
• GCD of 357, 958, 953, 816
• GCD of 124, 120, 810, 747
• GCD of 912, 149, 373, 999

Given numbers are 998, 972, 637, 108
The greatest common divisor of numbers 998, 972, 637, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 972, 637, 108 is 1.

1. What is the GCD of 998, 972, 637, 108?

GCD of given numbers 998, 972, 637, 108 is 1

2. How to calculate the greatest common divisor of 998, 972, 637, 108?

We can find the highest common divisor of 998, 972, 637, 108 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 998, 972, 637, 108 i.e 1.

3. How can I use the GCD of 998, 972, 637, 108Calculator?

Out the numbers 998, 972, 637, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.