GCD of 772, 312, 120 Calculator

Given Input numbers are 772, 312, 120

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 772, 312, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 312, 120 is 4.

Therefore, GCD of numbers 772, 312, 120 is 4

Given Input Data is 772, 312, 120

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(772, 312) = 60216

GCD(772, 312) = ( 772 x 312 ) / 60216

GCD(772, 312) = 240864 / 60216

GCD(772, 312) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 120

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

LCM(4, 120) = 120

GCD(4, 120) = ( 4 x 120 ) / 120

GCD(4, 120) = 480 / 120

GCD(4, 120) = 4

GCD of 772, 312, 120 is 4

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1. What is the GCD of 772, 312, 120?

GCD of 772, 312, 120 is 4

2. Where do I get the detailed procedure to find GCD of 772, 312, 120?

You can find a detailed procedure to find GCD of 772, 312, 120 on our page.

3. How to find GCD of 772, 312, 120 on a calculator?

You can find the GCD of 772, 312, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.