GCD of 35, 915, 855, 736 Calculator

Given Input numbers are 35, 915, 855, 736

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

Divisors of 35

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

1, 5, 7, 35

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 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 35, 915, 855, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 915, 855, 736 is 1.

Therefore, GCD of numbers 35, 915, 855, 736 is 1

Given Input Data is 35, 915, 855, 736

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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(35, 915) = 6405

GCD(35, 915) = ( 35 x 915 ) / 6405

GCD(35, 915) = 32025 / 6405

GCD(35, 915) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 855

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

LCM(5, 855) = 855

GCD(5, 855) = ( 5 x 855 ) / 855

GCD(5, 855) = 4275 / 855

GCD(5, 855) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 736

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

LCM(5, 736) = 3680

GCD(5, 736) = ( 5 x 736 ) / 3680

GCD(5, 736) = 3680 / 3680

GCD(5, 736) = 1

GCD of 35, 915, 855, 736 is 1

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1. What is the GCD of 35, 915, 855, 736?

GCD of 35, 915, 855, 736 is 1

2. Where do I get the detailed procedure to find GCD of 35, 915, 855, 736?

You can find a detailed procedure to find GCD of 35, 915, 855, 736 on our page.

3. How to find GCD of 35, 915, 855, 736 on a calculator?

You can find the GCD of 35, 915, 855, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.