GCD of 355, 868, 735 Calculator

Given Input numbers are 355, 868, 735

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

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 355, 868, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 868, 735 is 1.

Therefore, GCD of numbers 355, 868, 735 is 1

Given Input Data is 355, 868, 735

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 868 is 2 x 2 x 7 x 31

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(355, 868) = 308140

GCD(355, 868) = ( 355 x 868 ) / 308140

GCD(355, 868) = 308140 / 308140

GCD(355, 868) = 1

Step2:

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 355, 868, 735 is 1

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1. What is the GCD of 355, 868, 735?

GCD of 355, 868, 735 is 1

2. Where do I get the detailed procedure to find GCD of 355, 868, 735?

You can find a detailed procedure to find GCD of 355, 868, 735 on our page.

3. How to find GCD of 355, 868, 735 on a calculator?

You can find the GCD of 355, 868, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.