GCD of 391, 360, 925, 726 Calculator

Given Input numbers are 391, 360, 925, 726

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

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

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

Greatest Common Divisior

We found the divisors of 391, 360, 925, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 391, 360, 925, 726 is 1.

Therefore, GCD of numbers 391, 360, 925, 726 is 1

Given Input Data is 391, 360, 925, 726

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

Prime Factorization of 391 is 17 x 23

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 925 is 5 x 5 x 37

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

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(391, 360) = 140760

GCD(391, 360) = ( 391 x 360 ) / 140760

GCD(391, 360) = 140760 / 140760

GCD(391, 360) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 925

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

LCM(1, 925) = 925

GCD(1, 925) = ( 1 x 925 ) / 925

GCD(1, 925) = 925 / 925

GCD(1, 925) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

GCD of 391, 360, 925, 726 is 1

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1. What is the GCD of 391, 360, 925, 726?

GCD of 391, 360, 925, 726 is 1

2. Where do I get the detailed procedure to find GCD of 391, 360, 925, 726?

You can find a detailed procedure to find GCD of 391, 360, 925, 726 on our page.

3. How to find GCD of 391, 360, 925, 726 on a calculator?

You can find the GCD of 391, 360, 925, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.