GCD of 113, 726, 77, 902 Calculator

Given Input numbers are 113, 726, 77, 902

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

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 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 113, 726, 77, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 726, 77, 902 is 1.

Therefore, GCD of numbers 113, 726, 77, 902 is 1

Given Input Data is 113, 726, 77, 902

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

Prime Factorization of 113 is 113

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 902 is 2 x 11 x 41

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(113, 726) = 82038

GCD(113, 726) = ( 113 x 726 ) / 82038

GCD(113, 726) = 82038 / 82038

GCD(113, 726) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

GCD of 113, 726, 77, 902 is 1

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1. What is the GCD of 113, 726, 77, 902?

GCD of 113, 726, 77, 902 is 1

2. Where do I get the detailed procedure to find GCD of 113, 726, 77, 902?

You can find a detailed procedure to find GCD of 113, 726, 77, 902 on our page.

3. How to find GCD of 113, 726, 77, 902 on a calculator?

You can find the GCD of 113, 726, 77, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.