GCD of 876, 915, 355 Calculator

Given Input numbers are 876, 915, 355

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

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 915

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

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

Divisors of 355

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

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 876, 915, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 915, 355 is 1.

Therefore, GCD of numbers 876, 915, 355 is 1

Given Input Data is 876, 915, 355

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

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 355 is 5 x 71

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(876, 915) = 267180

GCD(876, 915) = ( 876 x 915 ) / 267180

GCD(876, 915) = 801540 / 267180

GCD(876, 915) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 355

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

LCM(3, 355) = 1065

GCD(3, 355) = ( 3 x 355 ) / 1065

GCD(3, 355) = 1065 / 1065

GCD(3, 355) = 1

GCD of 876, 915, 355 is 1

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1. What is the GCD of 876, 915, 355?

GCD of 876, 915, 355 is 1

2. Where do I get the detailed procedure to find GCD of 876, 915, 355?

You can find a detailed procedure to find GCD of 876, 915, 355 on our page.

3. How to find GCD of 876, 915, 355 on a calculator?

You can find the GCD of 876, 915, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.