GCD of 79, 682, 660, 726 Calculator

Given Input numbers are 79, 682, 660, 726

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

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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 79, 682, 660, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 79, 682, 660, 726 is 1.

Therefore, GCD of numbers 79, 682, 660, 726 is 1

Given Input Data is 79, 682, 660, 726

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

Prime Factorization of 79 is 79

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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(79, 682) = 53878

GCD(79, 682) = ( 79 x 682 ) / 53878

GCD(79, 682) = 53878 / 53878

GCD(79, 682) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 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 79, 682, 660, 726 is 1

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1. What is the GCD of 79, 682, 660, 726?

GCD of 79, 682, 660, 726 is 1

2. Where do I get the detailed procedure to find GCD of 79, 682, 660, 726?

You can find a detailed procedure to find GCD of 79, 682, 660, 726 on our page.

3. How to find GCD of 79, 682, 660, 726 on a calculator?

You can find the GCD of 79, 682, 660, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.