GCD of 524, 920, 972, 414 Calculator

Given Input numbers are 524, 920, 972, 414

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 524, 920, 972, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 920, 972, 414 is 2.

Therefore, GCD of numbers 524, 920, 972, 414 is 2

Given Input Data is 524, 920, 972, 414

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(524, 920) = 120520

GCD(524, 920) = ( 524 x 920 ) / 120520

GCD(524, 920) = 482080 / 120520

GCD(524, 920) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 972

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

LCM(4, 972) = 972

GCD(4, 972) = ( 4 x 972 ) / 972

GCD(4, 972) = 3888 / 972

GCD(4, 972) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 414

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

LCM(4, 414) = 828

GCD(4, 414) = ( 4 x 414 ) / 828

GCD(4, 414) = 1656 / 828

GCD(4, 414) = 2

GCD of 524, 920, 972, 414 is 2

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1. What is the GCD of 524, 920, 972, 414?

GCD of 524, 920, 972, 414 is 2

2. Where do I get the detailed procedure to find GCD of 524, 920, 972, 414?

You can find a detailed procedure to find GCD of 524, 920, 972, 414 on our page.

3. How to find GCD of 524, 920, 972, 414 on a calculator?

You can find the GCD of 524, 920, 972, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.