GCD of 718, 400, 920 Calculator

Given Input numbers are 718, 400, 920

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

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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 718, 400, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 400, 920 is 2.

Therefore, GCD of numbers 718, 400, 920 is 2

Given Input Data is 718, 400, 920

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

Prime Factorization of 718 is 2 x 359

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(718, 400) = 143600

GCD(718, 400) = ( 718 x 400 ) / 143600

GCD(718, 400) = 287200 / 143600

GCD(718, 400) = 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 718, 400, 920 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 294, 189
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1. What is the GCD of 718, 400, 920?

GCD of 718, 400, 920 is 2

2. Where do I get the detailed procedure to find GCD of 718, 400, 920?

You can find a detailed procedure to find GCD of 718, 400, 920 on our page.

3. How to find GCD of 718, 400, 920 on a calculator?

You can find the GCD of 718, 400, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.