GCD of 980, 456, 167, 778 Calculator

Given Input numbers are 980, 456, 167, 778

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 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Greatest Common Divisior

We found the divisors of 980, 456, 167, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 456, 167, 778 is 1.

Therefore, GCD of numbers 980, 456, 167, 778 is 1

Given Input Data is 980, 456, 167, 778

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 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 167 is 167

Prime Factorization of 778 is 2 x 389

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, 456) = 111720

GCD(980, 456) = ( 980 x 456 ) / 111720

GCD(980, 456) = 446880 / 111720

GCD(980, 456) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 167

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

LCM(4, 167) = 668

GCD(4, 167) = ( 4 x 167 ) / 668

GCD(4, 167) = 668 / 668

GCD(4, 167) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 778

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

LCM(1, 778) = 778

GCD(1, 778) = ( 1 x 778 ) / 778

GCD(1, 778) = 778 / 778

GCD(1, 778) = 1

GCD of 980, 456, 167, 778 is 1

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1. What is the GCD of 980, 456, 167, 778?

GCD of 980, 456, 167, 778 is 1

2. Where do I get the detailed procedure to find GCD of 980, 456, 167, 778?

You can find a detailed procedure to find GCD of 980, 456, 167, 778 on our page.

3. How to find GCD of 980, 456, 167, 778 on a calculator?

You can find the GCD of 980, 456, 167, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.