GCD of 735, 225, 266, 924 Calculator

Given Input numbers are 735, 225, 266, 924

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 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 735, 225, 266, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 225, 266, 924 is 1.

Therefore, GCD of numbers 735, 225, 266, 924 is 1

Given Input Data is 735, 225, 266, 924

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 225 is 3 x 3 x 5 x 5

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

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, 225) = 11025

GCD(735, 225) = ( 735 x 225 ) / 11025

GCD(735, 225) = 165375 / 11025

GCD(735, 225) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 266

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

LCM(15, 266) = 3990

GCD(15, 266) = ( 15 x 266 ) / 3990

GCD(15, 266) = 3990 / 3990

GCD(15, 266) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

GCD of 735, 225, 266, 924 is 1

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1. What is the GCD of 735, 225, 266, 924?

GCD of 735, 225, 266, 924 is 1

2. Where do I get the detailed procedure to find GCD of 735, 225, 266, 924?

You can find a detailed procedure to find GCD of 735, 225, 266, 924 on our page.

3. How to find GCD of 735, 225, 266, 924 on a calculator?

You can find the GCD of 735, 225, 266, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.