GCD of 60, 917, 714, 508 Calculator

Given Input numbers are 60, 917, 714, 508

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 60, 917, 714, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 917, 714, 508 is 1.

Therefore, GCD of numbers 60, 917, 714, 508 is 1

Given Input Data is 60, 917, 714, 508

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 917 is 7 x 131

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 508 is 2 x 2 x 127

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(60, 917) = 55020

GCD(60, 917) = ( 60 x 917 ) / 55020

GCD(60, 917) = 55020 / 55020

GCD(60, 917) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 60, 917, 714, 508 is 1

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• GCD of 26, 136, 764, 887
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• GCD of 18, 317, 626, 160

1. What is the GCD of 60, 917, 714, 508?

GCD of 60, 917, 714, 508 is 1

2. Where do I get the detailed procedure to find GCD of 60, 917, 714, 508?

You can find a detailed procedure to find GCD of 60, 917, 714, 508 on our page.

3. How to find GCD of 60, 917, 714, 508 on a calculator?

You can find the GCD of 60, 917, 714, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.