GCD of 726, 915, 161, 131 Calculator

Given Input numbers are 726, 915, 161, 131

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

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 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Greatest Common Divisior

We found the divisors of 726, 915, 161, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 915, 161, 131 is 1.

Therefore, GCD of numbers 726, 915, 161, 131 is 1

Given Input Data is 726, 915, 161, 131

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 161 is 7 x 23

Prime Factorization of 131 is 131

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(726, 915) = 221430

GCD(726, 915) = ( 726 x 915 ) / 221430

GCD(726, 915) = 664290 / 221430

GCD(726, 915) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 161

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

LCM(3, 161) = 483

GCD(3, 161) = ( 3 x 161 ) / 483

GCD(3, 161) = 483 / 483

GCD(3, 161) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

GCD of 726, 915, 161, 131 is 1

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1. What is the GCD of 726, 915, 161, 131?

GCD of 726, 915, 161, 131 is 1

2. Where do I get the detailed procedure to find GCD of 726, 915, 161, 131?

You can find a detailed procedure to find GCD of 726, 915, 161, 131 on our page.

3. How to find GCD of 726, 915, 161, 131 on a calculator?

You can find the GCD of 726, 915, 161, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.