GCD of 700, 251, 72, 978 Calculator

Given Input numbers are 700, 251, 72, 978

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

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

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Greatest Common Divisior

We found the divisors of 700, 251, 72, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 251, 72, 978 is 1.

Therefore, GCD of numbers 700, 251, 72, 978 is 1

Given Input Data is 700, 251, 72, 978

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

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

Prime Factorization of 251 is 251

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 978 is 2 x 3 x 163

The above numbers do not have any common prime factor. So GCD is 1

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(700, 251) = 175700

GCD(700, 251) = ( 700 x 251 ) / 175700

GCD(700, 251) = 175700 / 175700

GCD(700, 251) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

GCD of 700, 251, 72, 978 is 1

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1. What is the GCD of 700, 251, 72, 978?

GCD of 700, 251, 72, 978 is 1

2. Where do I get the detailed procedure to find GCD of 700, 251, 72, 978?

You can find a detailed procedure to find GCD of 700, 251, 72, 978 on our page.

3. How to find GCD of 700, 251, 72, 978 on a calculator?

You can find the GCD of 700, 251, 72, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.