GCD of 117, 791, 560, 708 Calculator

Given Input numbers are 117, 791, 560, 708

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 117, 791, 560, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 791, 560, 708 is 1.

Therefore, GCD of numbers 117, 791, 560, 708 is 1

Given Input Data is 117, 791, 560, 708

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 791 is 7 x 113

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(117, 791) = 92547

GCD(117, 791) = ( 117 x 791 ) / 92547

GCD(117, 791) = 92547 / 92547

GCD(117, 791) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

GCD of 117, 791, 560, 708 is 1

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1. What is the GCD of 117, 791, 560, 708?

GCD of 117, 791, 560, 708 is 1

2. Where do I get the detailed procedure to find GCD of 117, 791, 560, 708?

You can find a detailed procedure to find GCD of 117, 791, 560, 708 on our page.

3. How to find GCD of 117, 791, 560, 708 on a calculator?

You can find the GCD of 117, 791, 560, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.