GCD of 615, 980, 748, 555 Calculator

Given Input numbers are 615, 980, 748, 555

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

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

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 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Greatest Common Divisior

We found the divisors of 615, 980, 748, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 615, 980, 748, 555 is 1.

Therefore, GCD of numbers 615, 980, 748, 555 is 1

Given Input Data is 615, 980, 748, 555

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

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 555 is 3 x 5 x 37

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(615, 980) = 120540

GCD(615, 980) = ( 615 x 980 ) / 120540

GCD(615, 980) = 602700 / 120540

GCD(615, 980) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 748

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

LCM(5, 748) = 3740

GCD(5, 748) = ( 5 x 748 ) / 3740

GCD(5, 748) = 3740 / 3740

GCD(5, 748) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 555

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

LCM(1, 555) = 555

GCD(1, 555) = ( 1 x 555 ) / 555

GCD(1, 555) = 555 / 555

GCD(1, 555) = 1

GCD of 615, 980, 748, 555 is 1

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1. What is the GCD of 615, 980, 748, 555?

GCD of 615, 980, 748, 555 is 1

2. Where do I get the detailed procedure to find GCD of 615, 980, 748, 555?

You can find a detailed procedure to find GCD of 615, 980, 748, 555 on our page.

3. How to find GCD of 615, 980, 748, 555 on a calculator?

You can find the GCD of 615, 980, 748, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.