GCD of 676, 496, 812, 752 Calculator

Given Input numbers are 676, 496, 812, 752

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 676, 496, 812, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 496, 812, 752 is 4.

Therefore, GCD of numbers 676, 496, 812, 752 is 4

Given Input Data is 676, 496, 812, 752

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(676, 496) = 83824

GCD(676, 496) = ( 676 x 496 ) / 83824

GCD(676, 496) = 335296 / 83824

GCD(676, 496) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 812

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

LCM(4, 812) = 812

GCD(4, 812) = ( 4 x 812 ) / 812

GCD(4, 812) = 3248 / 812

GCD(4, 812) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 752

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

LCM(4, 752) = 752

GCD(4, 752) = ( 4 x 752 ) / 752

GCD(4, 752) = 3008 / 752

GCD(4, 752) = 4

GCD of 676, 496, 812, 752 is 4

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1. What is the GCD of 676, 496, 812, 752?

GCD of 676, 496, 812, 752 is 4

2. Where do I get the detailed procedure to find GCD of 676, 496, 812, 752?

You can find a detailed procedure to find GCD of 676, 496, 812, 752 on our page.

3. How to find GCD of 676, 496, 812, 752 on a calculator?

You can find the GCD of 676, 496, 812, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.