GCD of 914, 297, 902, 735 Calculator

Given Input numbers are 914, 297, 902, 735

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

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

Greatest Common Divisior

We found the divisors of 914, 297, 902, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 297, 902, 735 is 1.

Therefore, GCD of numbers 914, 297, 902, 735 is 1

Given Input Data is 914, 297, 902, 735

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 902 is 2 x 11 x 41

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

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(914, 297) = 271458

GCD(914, 297) = ( 914 x 297 ) / 271458

GCD(914, 297) = 271458 / 271458

GCD(914, 297) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 914, 297, 902, 735 is 1

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1. What is the GCD of 914, 297, 902, 735?

GCD of 914, 297, 902, 735 is 1

2. Where do I get the detailed procedure to find GCD of 914, 297, 902, 735?

You can find a detailed procedure to find GCD of 914, 297, 902, 735 on our page.

3. How to find GCD of 914, 297, 902, 735 on a calculator?

You can find the GCD of 914, 297, 902, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.