GCD of 917, 259, 36, 152 Calculator

Given Input numbers are 917, 259, 36, 152

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

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 917, 259, 36, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 259, 36, 152 is 1.

Therefore, GCD of numbers 917, 259, 36, 152 is 1

Given Input Data is 917, 259, 36, 152

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

Prime Factorization of 917 is 7 x 131

Prime Factorization of 259 is 7 x 37

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 152 is 2 x 2 x 2 x 19

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(917, 259) = 33929

GCD(917, 259) = ( 917 x 259 ) / 33929

GCD(917, 259) = 237503 / 33929

GCD(917, 259) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 36

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

LCM(7, 36) = 252

GCD(7, 36) = ( 7 x 36 ) / 252

GCD(7, 36) = 252 / 252

GCD(7, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 917, 259, 36, 152 is 1

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1. What is the GCD of 917, 259, 36, 152?

GCD of 917, 259, 36, 152 is 1

2. Where do I get the detailed procedure to find GCD of 917, 259, 36, 152?

You can find a detailed procedure to find GCD of 917, 259, 36, 152 on our page.

3. How to find GCD of 917, 259, 36, 152 on a calculator?

You can find the GCD of 917, 259, 36, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.