GCD of 874, 724, 126, 853 Calculator

Given Input numbers are 874, 724, 126, 853

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 724

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

1, 2, 4, 181, 362, 724

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 874, 724, 126, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 724, 126, 853 is 1.

Therefore, GCD of numbers 874, 724, 126, 853 is 1

Given Input Data is 874, 724, 126, 853

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 724 is 2 x 2 x 181

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 853 is 853

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, 724) = 316388

GCD(874, 724) = ( 874 x 724 ) / 316388

GCD(874, 724) = 632776 / 316388

GCD(874, 724) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 126

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

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

GCD(2, 126) = 252 / 126

GCD(2, 126) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 853

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

LCM(2, 853) = 1706

GCD(2, 853) = ( 2 x 853 ) / 1706

GCD(2, 853) = 1706 / 1706

GCD(2, 853) = 1

GCD of 874, 724, 126, 853 is 1

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1. What is the GCD of 874, 724, 126, 853?

GCD of 874, 724, 126, 853 is 1

2. Where do I get the detailed procedure to find GCD of 874, 724, 126, 853?

You can find a detailed procedure to find GCD of 874, 724, 126, 853 on our page.

3. How to find GCD of 874, 724, 126, 853 on a calculator?

You can find the GCD of 874, 724, 126, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.