GCD of 980, 866, 653, 668 Calculator

Given Input numbers are 980, 866, 653, 668

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 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Greatest Common Divisior

We found the divisors of 980, 866, 653, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 866, 653, 668 is 1.

Therefore, GCD of numbers 980, 866, 653, 668 is 1

Given Input Data is 980, 866, 653, 668

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 866 is 2 x 433

Prime Factorization of 653 is 653

Prime Factorization of 668 is 2 x 2 x 167

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, 866) = 424340

GCD(980, 866) = ( 980 x 866 ) / 424340

GCD(980, 866) = 848680 / 424340

GCD(980, 866) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 653

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

LCM(2, 653) = 1306

GCD(2, 653) = ( 2 x 653 ) / 1306

GCD(2, 653) = 1306 / 1306

GCD(2, 653) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 668

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

LCM(1, 668) = 668

GCD(1, 668) = ( 1 x 668 ) / 668

GCD(1, 668) = 668 / 668

GCD(1, 668) = 1

GCD of 980, 866, 653, 668 is 1

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1. What is the GCD of 980, 866, 653, 668?

GCD of 980, 866, 653, 668 is 1

2. Where do I get the detailed procedure to find GCD of 980, 866, 653, 668?

You can find a detailed procedure to find GCD of 980, 866, 653, 668 on our page.

3. How to find GCD of 980, 866, 653, 668 on a calculator?

You can find the GCD of 980, 866, 653, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.