GCD of 517, 695, 37, 942 Calculator

Given Input numbers are 517, 695, 37, 942

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

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 517, 695, 37, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 695, 37, 942 is 1.

Therefore, GCD of numbers 517, 695, 37, 942 is 1

Given Input Data is 517, 695, 37, 942

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 695 is 5 x 139

Prime Factorization of 37 is 37

Prime Factorization of 942 is 2 x 3 x 157

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(517, 695) = 359315

GCD(517, 695) = ( 517 x 695 ) / 359315

GCD(517, 695) = 359315 / 359315

GCD(517, 695) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 517, 695, 37, 942 is 1

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• GCD of 705, 150, 95, 114
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1. What is the GCD of 517, 695, 37, 942?

GCD of 517, 695, 37, 942 is 1

2. Where do I get the detailed procedure to find GCD of 517, 695, 37, 942?

You can find a detailed procedure to find GCD of 517, 695, 37, 942 on our page.

3. How to find GCD of 517, 695, 37, 942 on a calculator?

You can find the GCD of 517, 695, 37, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.