GCD of 355, 874, 72, 915 Calculator

Given Input numbers are 355, 874, 72, 915

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

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 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Greatest Common Divisior

We found the divisors of 355, 874, 72, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 874, 72, 915 is 1.

Therefore, GCD of numbers 355, 874, 72, 915 is 1

Given Input Data is 355, 874, 72, 915

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 915 is 3 x 5 x 61

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(355, 874) = 310270

GCD(355, 874) = ( 355 x 874 ) / 310270

GCD(355, 874) = 310270 / 310270

GCD(355, 874) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 915

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

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

GCD(1, 915) = 915 / 915

GCD(1, 915) = 1

GCD of 355, 874, 72, 915 is 1

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1. What is the GCD of 355, 874, 72, 915?

GCD of 355, 874, 72, 915 is 1

2. Where do I get the detailed procedure to find GCD of 355, 874, 72, 915?

You can find a detailed procedure to find GCD of 355, 874, 72, 915 on our page.

3. How to find GCD of 355, 874, 72, 915 on a calculator?

You can find the GCD of 355, 874, 72, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.