GCD of 980, 992, 128, 567 Calculator

Given Input numbers are 980, 992, 128, 567

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 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

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

Greatest Common Divisior

We found the divisors of 980, 992, 128, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 992, 128, 567 is 1.

Therefore, GCD of numbers 980, 992, 128, 567 is 1

Given Input Data is 980, 992, 128, 567

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 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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

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(980, 992) = 243040

GCD(980, 992) = ( 980 x 992 ) / 243040

GCD(980, 992) = 972160 / 243040

GCD(980, 992) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 128

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

LCM(4, 128) = 128

GCD(4, 128) = ( 4 x 128 ) / 128

GCD(4, 128) = 512 / 128

GCD(4, 128) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 567

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

LCM(4, 567) = 2268

GCD(4, 567) = ( 4 x 567 ) / 2268

GCD(4, 567) = 2268 / 2268

GCD(4, 567) = 1

GCD of 980, 992, 128, 567 is 1

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1. What is the GCD of 980, 992, 128, 567?

GCD of 980, 992, 128, 567 is 1

2. Where do I get the detailed procedure to find GCD of 980, 992, 128, 567?

You can find a detailed procedure to find GCD of 980, 992, 128, 567 on our page.

3. How to find GCD of 980, 992, 128, 567 on a calculator?

You can find the GCD of 980, 992, 128, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.