GCD of 972, 970, 188, 154 Calculator

Given Input numbers are 972, 970, 188, 154

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 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

GCD of numbers is the greatest common divisor

So, the GCD (972, 970, 188, 154) = 2.

Given numbers are 972, 970, 188, 154

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 970 are 2 x 5 x 97

Prime factors of 188 are 2 x 2 x 47

Prime factors of 154 are 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 972, 970, 188, 154 is 2.

Given numbers are 972, 970, 188, 154

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

Apply this formula for all numbers.

Step1:

LCM(972, 970) = 471420

GCD(972, 970) = ( 972 x 970 ) / 471420

= 972 / 970

= 972

Step2:

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

= 2 / 188

= 2

Step3:

LCM(2, 154) = 154

GCD(2, 154) = ( 2 x 154 ) / 154

= 2 / 154

= 2

So, Greatest Common Divisor of 972, 970, 188, 154 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 362, 130, 163, 812
• GCD of 568, 331, 635, 318
• GCD of 236, 959, 748, 108
• GCD of 312, 806, 401, 109
• GCD of 198, 292, 897, 849

Given numbers are 972, 970, 188, 154
The greatest common divisor of numbers 972, 970, 188, 154 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 970, 188, 154 is 2.

1. What is the GCD of 972, 970, 188, 154?

GCD of given numbers 972, 970, 188, 154 is 2

2. How to calculate the greatest common divisor of 972, 970, 188, 154?

We can find the highest common divisor of 972, 970, 188, 154 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, 970, 188, 154 i.e 2.

3. How can I use the GCD of 972, 970, 188, 154Calculator?

Out the numbers 972, 970, 188, 154 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.