GCD of 632, 780, 68, 852 Calculator

Given Input numbers are 632, 780, 68, 852

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

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

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 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 632, 780, 68, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 632, 780, 68, 852 is 4.

Therefore, GCD of numbers 632, 780, 68, 852 is 4

Given Input Data is 632, 780, 68, 852

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

Prime Factorization of 632 is 2 x 2 x 2 x 79

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 852 is 2 x 2 x 3 x 71

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(632, 780) = 123240

GCD(632, 780) = ( 632 x 780 ) / 123240

GCD(632, 780) = 492960 / 123240

GCD(632, 780) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 68

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

LCM(4, 68) = 68

GCD(4, 68) = ( 4 x 68 ) / 68

GCD(4, 68) = 272 / 68

GCD(4, 68) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 852

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

LCM(4, 852) = 852

GCD(4, 852) = ( 4 x 852 ) / 852

GCD(4, 852) = 3408 / 852

GCD(4, 852) = 4

GCD of 632, 780, 68, 852 is 4

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1. What is the GCD of 632, 780, 68, 852?

GCD of 632, 780, 68, 852 is 4

2. Where do I get the detailed procedure to find GCD of 632, 780, 68, 852?

You can find a detailed procedure to find GCD of 632, 780, 68, 852 on our page.

3. How to find GCD of 632, 780, 68, 852 on a calculator?

You can find the GCD of 632, 780, 68, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.