GCD of 875, 849, 729, 922 Calculator

Given Input numbers are 875, 849, 729, 922

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

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Greatest Common Divisior

We found the divisors of 875, 849, 729, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 849, 729, 922 is 1.

Therefore, GCD of numbers 875, 849, 729, 922 is 1

Given Input Data is 875, 849, 729, 922

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

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 849 is 3 x 283

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 922 is 2 x 461

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(875, 849) = 742875

GCD(875, 849) = ( 875 x 849 ) / 742875

GCD(875, 849) = 742875 / 742875

GCD(875, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 922

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

LCM(1, 922) = 922

GCD(1, 922) = ( 1 x 922 ) / 922

GCD(1, 922) = 922 / 922

GCD(1, 922) = 1

GCD of 875, 849, 729, 922 is 1

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1. What is the GCD of 875, 849, 729, 922?

GCD of 875, 849, 729, 922 is 1

2. Where do I get the detailed procedure to find GCD of 875, 849, 729, 922?

You can find a detailed procedure to find GCD of 875, 849, 729, 922 on our page.

3. How to find GCD of 875, 849, 729, 922 on a calculator?

You can find the GCD of 875, 849, 729, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.