GCD of 417, 677, 30, 979 Calculator

Given Input numbers are 417, 677, 30, 979

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

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 417, 677, 30, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 417, 677, 30, 979 is 1.

Therefore, GCD of numbers 417, 677, 30, 979 is 1

Given Input Data is 417, 677, 30, 979

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

Prime Factorization of 417 is 3 x 139

Prime Factorization of 677 is 677

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 979 is 11 x 89

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(417, 677) = 282309

GCD(417, 677) = ( 417 x 677 ) / 282309

GCD(417, 677) = 282309 / 282309

GCD(417, 677) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 979

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

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

GCD(1, 979) = 979 / 979

GCD(1, 979) = 1

GCD of 417, 677, 30, 979 is 1

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1. What is the GCD of 417, 677, 30, 979?

GCD of 417, 677, 30, 979 is 1

2. Where do I get the detailed procedure to find GCD of 417, 677, 30, 979?

You can find a detailed procedure to find GCD of 417, 677, 30, 979 on our page.

3. How to find GCD of 417, 677, 30, 979 on a calculator?

You can find the GCD of 417, 677, 30, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.