GCD of 972, 658, 831, 114 Calculator

Given Input numbers are 972, 658, 831, 114

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 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

GCD of numbers is the greatest common divisor

So, the GCD (972, 658, 831, 114) = 1.

Given numbers are 972, 658, 831, 114

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 658 are 2 x 7 x 47

Prime factors of 831 are 3 x 277

Prime factors of 114 are 2 x 3 x 19

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

Given numbers are 972, 658, 831, 114

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

Apply this formula for all numbers.

Step1:

LCM(972, 658) = 319788

GCD(972, 658) = ( 972 x 658 ) / 319788

= 972 / 658

= 972

Step2:

LCM(2, 831) = 1662

GCD(2, 831) = ( 2 x 831 ) / 1662

= 2 / 831

= 2

Step3:

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

= 1 / 114

= 1

So, Greatest Common Divisor of 972, 658, 831, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 596, 897, 811, 639
• GCD of 116, 895, 220, 631
• GCD of 363, 212, 380, 425
• GCD of 446, 568, 132, 512
• GCD of 218, 926, 446, 755

Given numbers are 972, 658, 831, 114
The greatest common divisor of numbers 972, 658, 831, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 658, 831, 114 is 1.

1. What is the GCD of 972, 658, 831, 114?

GCD of given numbers 972, 658, 831, 114 is 1

2. How to calculate the greatest common divisor of 972, 658, 831, 114?

We can find the highest common divisor of 972, 658, 831, 114 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, 658, 831, 114 i.e 1.

3. How can I use the GCD of 972, 658, 831, 114Calculator?

Out the numbers 972, 658, 831, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.