GCD of 980, 997, 52, 694 Calculator

Given Input numbers are 980, 997, 52, 694

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 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 980, 997, 52, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 997, 52, 694 is 1.

Therefore, GCD of numbers 980, 997, 52, 694 is 1

Given Input Data is 980, 997, 52, 694

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 997 is 997

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 694 is 2 x 347

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, 997) = 977060

GCD(980, 997) = ( 980 x 997 ) / 977060

GCD(980, 997) = 977060 / 977060

GCD(980, 997) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

GCD of 980, 997, 52, 694 is 1

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1. What is the GCD of 980, 997, 52, 694?

GCD of 980, 997, 52, 694 is 1

2. Where do I get the detailed procedure to find GCD of 980, 997, 52, 694?

You can find a detailed procedure to find GCD of 980, 997, 52, 694 on our page.

3. How to find GCD of 980, 997, 52, 694 on a calculator?

You can find the GCD of 980, 997, 52, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.