GCD of 274, 424, 920 Calculator

Given Input numbers are 274, 424, 920

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

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

Greatest Common Divisior

We found the divisors of 274, 424, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 424, 920 is 2.

Therefore, GCD of numbers 274, 424, 920 is 2

Given Input Data is 274, 424, 920

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 920 is 2 x 2 x 2 x 5 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(274, 424) = 58088

GCD(274, 424) = ( 274 x 424 ) / 58088

GCD(274, 424) = 116176 / 58088

GCD(274, 424) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 920

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

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

GCD(2, 920) = 1840 / 920

GCD(2, 920) = 2

GCD of 274, 424, 920 is 2

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1. What is the GCD of 274, 424, 920?

GCD of 274, 424, 920 is 2

2. Where do I get the detailed procedure to find GCD of 274, 424, 920?

You can find a detailed procedure to find GCD of 274, 424, 920 on our page.

3. How to find GCD of 274, 424, 920 on a calculator?

You can find the GCD of 274, 424, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.