GCD of 772, 620, 782, 312 Calculator

Given Input numbers are 772, 620, 782, 312

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 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

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

Greatest Common Divisior

We found the divisors of 772, 620, 782, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 620, 782, 312 is 2.

Therefore, GCD of numbers 772, 620, 782, 312 is 2

Given Input Data is 772, 620, 782, 312

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 620 is 2 x 2 x 5 x 31

Prime Factorization of 782 is 2 x 17 x 23

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

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(772, 620) = 119660

GCD(772, 620) = ( 772 x 620 ) / 119660

GCD(772, 620) = 478640 / 119660

GCD(772, 620) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 782

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

LCM(4, 782) = 1564

GCD(4, 782) = ( 4 x 782 ) / 1564

GCD(4, 782) = 3128 / 1564

GCD(4, 782) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 312

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

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

GCD(2, 312) = 624 / 312

GCD(2, 312) = 2

GCD of 772, 620, 782, 312 is 2

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1. What is the GCD of 772, 620, 782, 312?

GCD of 772, 620, 782, 312 is 2

2. Where do I get the detailed procedure to find GCD of 772, 620, 782, 312?

You can find a detailed procedure to find GCD of 772, 620, 782, 312 on our page.

3. How to find GCD of 772, 620, 782, 312 on a calculator?

You can find the GCD of 772, 620, 782, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.