GCD of 118, 780, 712 Calculator

Given Input numbers are 118, 780, 712

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

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 118, 780, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 780, 712 is 2.

Therefore, GCD of numbers 118, 780, 712 is 2

Given Input Data is 118, 780, 712

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 712 is 2 x 2 x 2 x 89

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(118, 780) = 46020

GCD(118, 780) = ( 118 x 780 ) / 46020

GCD(118, 780) = 92040 / 46020

GCD(118, 780) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 712

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

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

GCD(2, 712) = 1424 / 712

GCD(2, 712) = 2

GCD of 118, 780, 712 is 2

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1. What is the GCD of 118, 780, 712?

GCD of 118, 780, 712 is 2

2. Where do I get the detailed procedure to find GCD of 118, 780, 712?

You can find a detailed procedure to find GCD of 118, 780, 712 on our page.

3. How to find GCD of 118, 780, 712 on a calculator?

You can find the GCD of 118, 780, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.