GCD of 874, 274, 36, 725 Calculator

Given Input numbers are 874, 274, 36, 725

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

Divisors of 874

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

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 874, 274, 36, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 274, 36, 725 is 1.

Therefore, GCD of numbers 874, 274, 36, 725 is 1

Given Input Data is 874, 274, 36, 725

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 274 is 2 x 137

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 725 is 5 x 5 x 29

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(874, 274) = 119738

GCD(874, 274) = ( 874 x 274 ) / 119738

GCD(874, 274) = 239476 / 119738

GCD(874, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 725

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

LCM(2, 725) = 1450

GCD(2, 725) = ( 2 x 725 ) / 1450

GCD(2, 725) = 1450 / 1450

GCD(2, 725) = 1

GCD of 874, 274, 36, 725 is 1

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1. What is the GCD of 874, 274, 36, 725?

GCD of 874, 274, 36, 725 is 1

2. Where do I get the detailed procedure to find GCD of 874, 274, 36, 725?

You can find a detailed procedure to find GCD of 874, 274, 36, 725 on our page.

3. How to find GCD of 874, 274, 36, 725 on a calculator?

You can find the GCD of 874, 274, 36, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.