GCD of 59, 790, 992, 709 Calculator

Given Input numbers are 59, 790, 992, 709

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 59, 790, 992, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 790, 992, 709 is 1.

Therefore, GCD of numbers 59, 790, 992, 709 is 1

Given Input Data is 59, 790, 992, 709

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

Prime Factorization of 59 is 59

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 709 is 709

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(59, 790) = 46610

GCD(59, 790) = ( 59 x 790 ) / 46610

GCD(59, 790) = 46610 / 46610

GCD(59, 790) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 59, 790, 992, 709 is 1

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1. What is the GCD of 59, 790, 992, 709?

GCD of 59, 790, 992, 709 is 1

2. Where do I get the detailed procedure to find GCD of 59, 790, 992, 709?

You can find a detailed procedure to find GCD of 59, 790, 992, 709 on our page.

3. How to find GCD of 59, 790, 992, 709 on a calculator?

You can find the GCD of 59, 790, 992, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.