GCD of 72, 296, 312, 780 Calculator

Given Input numbers are 72, 296, 312, 780

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

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 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

Greatest Common Divisior

We found the divisors of 72, 296, 312, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 296, 312, 780 is 4.

Therefore, GCD of numbers 72, 296, 312, 780 is 4

Given Input Data is 72, 296, 312, 780

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 296 is 2 x 2 x 2 x 37

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

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

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(72, 296) = 2664

GCD(72, 296) = ( 72 x 296 ) / 2664

GCD(72, 296) = 21312 / 2664

GCD(72, 296) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 312

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

LCM(8, 312) = 312

GCD(8, 312) = ( 8 x 312 ) / 312

GCD(8, 312) = 2496 / 312

GCD(8, 312) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 780

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

LCM(8, 780) = 1560

GCD(8, 780) = ( 8 x 780 ) / 1560

GCD(8, 780) = 6240 / 1560

GCD(8, 780) = 4

GCD of 72, 296, 312, 780 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 987, 706, 528
• GCD of 59, 766, 798, 211
• GCD of 25, 635, 419, 469
• GCD of 90, 104, 431, 314
• GCD of 82, 956, 145, 342

1. What is the GCD of 72, 296, 312, 780?

GCD of 72, 296, 312, 780 is 4

2. Where do I get the detailed procedure to find GCD of 72, 296, 312, 780?

You can find a detailed procedure to find GCD of 72, 296, 312, 780 on our page.

3. How to find GCD of 72, 296, 312, 780 on a calculator?

You can find the GCD of 72, 296, 312, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.