GCD of 980, 567, 553, 756 Calculator

Given Input numbers are 980, 567, 553, 756

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

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 980, 567, 553, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 567, 553, 756 is 7.

Therefore, GCD of numbers 980, 567, 553, 756 is 7

Given Input Data is 980, 567, 553, 756

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

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 553 is 7 x 79

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(980, 567) = 79380

GCD(980, 567) = ( 980 x 567 ) / 79380

GCD(980, 567) = 555660 / 79380

GCD(980, 567) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 553

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

LCM(7, 553) = 553

GCD(7, 553) = ( 7 x 553 ) / 553

GCD(7, 553) = 3871 / 553

GCD(7, 553) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 756

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

LCM(7, 756) = 756

GCD(7, 756) = ( 7 x 756 ) / 756

GCD(7, 756) = 5292 / 756

GCD(7, 756) = 7

GCD of 980, 567, 553, 756 is 7

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1. What is the GCD of 980, 567, 553, 756?

GCD of 980, 567, 553, 756 is 7

2. Where do I get the detailed procedure to find GCD of 980, 567, 553, 756?

You can find a detailed procedure to find GCD of 980, 567, 553, 756 on our page.

3. How to find GCD of 980, 567, 553, 756 on a calculator?

You can find the GCD of 980, 567, 553, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.