GCD of 877, 724, 142, 216 Calculator

Given Input numbers are 877, 724, 142, 216

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

Divisors of 877

List of positive integer divisors of 877 that divides 877 without a remainder.

1, 877

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 877, 724, 142, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 877, 724, 142, 216 is 1.

Therefore, GCD of numbers 877, 724, 142, 216 is 1

Given Input Data is 877, 724, 142, 216

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

Prime Factorization of 877 is 877

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 142 is 2 x 71

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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(877, 724) = 634948

GCD(877, 724) = ( 877 x 724 ) / 634948

GCD(877, 724) = 634948 / 634948

GCD(877, 724) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 877, 724, 142, 216 is 1

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1. What is the GCD of 877, 724, 142, 216?

GCD of 877, 724, 142, 216 is 1

2. Where do I get the detailed procedure to find GCD of 877, 724, 142, 216?

You can find a detailed procedure to find GCD of 877, 724, 142, 216 on our page.

3. How to find GCD of 877, 724, 142, 216 on a calculator?

You can find the GCD of 877, 724, 142, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.