GCD of 935, 684, 42, 724 Calculator

Given Input numbers are 935, 684, 42, 724

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

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 935, 684, 42, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 935, 684, 42, 724 is 1.

Therefore, GCD of numbers 935, 684, 42, 724 is 1

Given Input Data is 935, 684, 42, 724

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

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 724 is 2 x 2 x 181

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(935, 684) = 639540

GCD(935, 684) = ( 935 x 684 ) / 639540

GCD(935, 684) = 639540 / 639540

GCD(935, 684) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 935, 684, 42, 724 is 1

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1. What is the GCD of 935, 684, 42, 724?

GCD of 935, 684, 42, 724 is 1

2. Where do I get the detailed procedure to find GCD of 935, 684, 42, 724?

You can find a detailed procedure to find GCD of 935, 684, 42, 724 on our page.

3. How to find GCD of 935, 684, 42, 724 on a calculator?

You can find the GCD of 935, 684, 42, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.