GCD of 915, 108, 35, 723 Calculator

Given Input numbers are 915, 108, 35, 723

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

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 915, 108, 35, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 108, 35, 723 is 1.

Therefore, GCD of numbers 915, 108, 35, 723 is 1

Given Input Data is 915, 108, 35, 723

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

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 35 is 5 x 7

Prime Factorization of 723 is 3 x 241

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(915, 108) = 32940

GCD(915, 108) = ( 915 x 108 ) / 32940

GCD(915, 108) = 98820 / 32940

GCD(915, 108) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 35

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

LCM(3, 35) = 105

GCD(3, 35) = ( 3 x 35 ) / 105

GCD(3, 35) = 105 / 105

GCD(3, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

GCD of 915, 108, 35, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 285, 446, 33, 349
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• GCD of 445, 845, 54, 907
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• GCD of 842, 147, 44, 178

1. What is the GCD of 915, 108, 35, 723?

GCD of 915, 108, 35, 723 is 1

2. Where do I get the detailed procedure to find GCD of 915, 108, 35, 723?

You can find a detailed procedure to find GCD of 915, 108, 35, 723 on our page.

3. How to find GCD of 915, 108, 35, 723 on a calculator?

You can find the GCD of 915, 108, 35, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.