GCD of 735, 564, 174, 980 Calculator

Given Input numbers are 735, 564, 174, 980

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

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

Greatest Common Divisior

We found the divisors of 735, 564, 174, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 564, 174, 980 is 1.

Therefore, GCD of numbers 735, 564, 174, 980 is 1

Given Input Data is 735, 564, 174, 980

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 980 is 2 x 2 x 5 x 7 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(735, 564) = 138180

GCD(735, 564) = ( 735 x 564 ) / 138180

GCD(735, 564) = 414540 / 138180

GCD(735, 564) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 174

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

LCM(3, 174) = 174

GCD(3, 174) = ( 3 x 174 ) / 174

GCD(3, 174) = 522 / 174

GCD(3, 174) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 980

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

LCM(3, 980) = 2940

GCD(3, 980) = ( 3 x 980 ) / 2940

GCD(3, 980) = 2940 / 2940

GCD(3, 980) = 1

GCD of 735, 564, 174, 980 is 1

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1. What is the GCD of 735, 564, 174, 980?

GCD of 735, 564, 174, 980 is 1

2. Where do I get the detailed procedure to find GCD of 735, 564, 174, 980?

You can find a detailed procedure to find GCD of 735, 564, 174, 980 on our page.

3. How to find GCD of 735, 564, 174, 980 on a calculator?

You can find the GCD of 735, 564, 174, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.