GCD of 974, 490, 718, 500 Calculator

Given Input numbers are 974, 490, 718, 500

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 718

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

1, 2, 359, 718

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 974, 490, 718, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 490, 718, 500 is 2.

Therefore, GCD of numbers 974, 490, 718, 500 is 2

Given Input Data is 974, 490, 718, 500

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 718 is 2 x 359

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

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(974, 490) = 238630

GCD(974, 490) = ( 974 x 490 ) / 238630

GCD(974, 490) = 477260 / 238630

GCD(974, 490) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 718

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

LCM(2, 718) = 718

GCD(2, 718) = ( 2 x 718 ) / 718

GCD(2, 718) = 1436 / 718

GCD(2, 718) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 500

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

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

GCD(2, 500) = 1000 / 500

GCD(2, 500) = 2

GCD of 974, 490, 718, 500 is 2

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1. What is the GCD of 974, 490, 718, 500?

GCD of 974, 490, 718, 500 is 2

2. Where do I get the detailed procedure to find GCD of 974, 490, 718, 500?

You can find a detailed procedure to find GCD of 974, 490, 718, 500 on our page.

3. How to find GCD of 974, 490, 718, 500 on a calculator?

You can find the GCD of 974, 490, 718, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.