GCD of 972, 494, 700 Calculator

Given Input numbers are 972, 494, 700

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 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 972, 494, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 494, 700 is 2.

Therefore, GCD of numbers 972, 494, 700 is 2

Given Input Data is 972, 494, 700

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 494 is 2 x 13 x 19

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

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(972, 494) = 240084

GCD(972, 494) = ( 972 x 494 ) / 240084

GCD(972, 494) = 480168 / 240084

GCD(972, 494) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 700

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

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

GCD(2, 700) = 1400 / 700

GCD(2, 700) = 2

GCD of 972, 494, 700 is 2

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1. What is the GCD of 972, 494, 700?

GCD of 972, 494, 700 is 2

2. Where do I get the detailed procedure to find GCD of 972, 494, 700?

You can find a detailed procedure to find GCD of 972, 494, 700 on our page.

3. How to find GCD of 972, 494, 700 on a calculator?

You can find the GCD of 972, 494, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.