GCD of 735, 205, 921, 872 Calculator

Given Input numbers are 735, 205, 921, 872

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 735, 205, 921, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 205, 921, 872 is 1.

Therefore, GCD of numbers 735, 205, 921, 872 is 1

Given Input Data is 735, 205, 921, 872

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 205 is 5 x 41

Prime Factorization of 921 is 3 x 307

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(735, 205) = 30135

GCD(735, 205) = ( 735 x 205 ) / 30135

GCD(735, 205) = 150675 / 30135

GCD(735, 205) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 921

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

LCM(5, 921) = 4605

GCD(5, 921) = ( 5 x 921 ) / 4605

GCD(5, 921) = 4605 / 4605

GCD(5, 921) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 735, 205, 921, 872 is 1

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1. What is the GCD of 735, 205, 921, 872?

GCD of 735, 205, 921, 872 is 1

2. Where do I get the detailed procedure to find GCD of 735, 205, 921, 872?

You can find a detailed procedure to find GCD of 735, 205, 921, 872 on our page.

3. How to find GCD of 735, 205, 921, 872 on a calculator?

You can find the GCD of 735, 205, 921, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.