GCD of 972, 240, 426, 186 Calculator

Given Input numbers are 972, 240, 426, 186

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Greatest Common Divisior

We found the divisors of 972, 240, 426, 186 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 240, 426, 186 is 6.

Therefore, GCD of numbers 972, 240, 426, 186 is 6

Given Input Data is 972, 240, 426, 186

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 186 is 2 x 3 x 31

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

Step1:

Let's calculate the GCD of first two numbers

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

LCM(972, 240) = 19440

GCD(972, 240) = ( 972 x 240 ) / 19440

GCD(972, 240) = 233280 / 19440

GCD(972, 240) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 426

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

LCM(12, 426) = 852

GCD(12, 426) = ( 12 x 426 ) / 852

GCD(12, 426) = 5112 / 852

GCD(12, 426) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 186

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

LCM(6, 186) = 186

GCD(6, 186) = ( 6 x 186 ) / 186

GCD(6, 186) = 1116 / 186

GCD(6, 186) = 6

GCD of 972, 240, 426, 186 is 6

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1. What is the GCD of 972, 240, 426, 186?

GCD of 972, 240, 426, 186 is 6

2. Where do I get the detailed procedure to find GCD of 972, 240, 426, 186?

You can find a detailed procedure to find GCD of 972, 240, 426, 186 on our page.

3. How to find GCD of 972, 240, 426, 186 on a calculator?

You can find the GCD of 972, 240, 426, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.