GCD of 537, 659, 874 Calculator

Given Input numbers are 537, 659, 874

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

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 537, 659, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 659, 874 is 1.

Therefore, GCD of numbers 537, 659, 874 is 1

Given Input Data is 537, 659, 874

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 659 is 659

Prime Factorization of 874 is 2 x 19 x 23

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(537, 659) = 353883

GCD(537, 659) = ( 537 x 659 ) / 353883

GCD(537, 659) = 353883 / 353883

GCD(537, 659) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

GCD of 537, 659, 874 is 1

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1. What is the GCD of 537, 659, 874?

GCD of 537, 659, 874 is 1

2. Where do I get the detailed procedure to find GCD of 537, 659, 874?

You can find a detailed procedure to find GCD of 537, 659, 874 on our page.

3. How to find GCD of 537, 659, 874 on a calculator?

You can find the GCD of 537, 659, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.