GCD of 612, 812, 722, 876 Calculator

Given Input numbers are 612, 812, 722, 876

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Greatest Common Divisior

We found the divisors of 612, 812, 722, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 812, 722, 876 is 2.

Therefore, GCD of numbers 612, 812, 722, 876 is 2

Given Input Data is 612, 812, 722, 876

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 876 is 2 x 2 x 3 x 73

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(612, 812) = 124236

GCD(612, 812) = ( 612 x 812 ) / 124236

GCD(612, 812) = 496944 / 124236

GCD(612, 812) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 722

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

LCM(4, 722) = 1444

GCD(4, 722) = ( 4 x 722 ) / 1444

GCD(4, 722) = 2888 / 1444

GCD(4, 722) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 876

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

LCM(2, 876) = 876

GCD(2, 876) = ( 2 x 876 ) / 876

GCD(2, 876) = 1752 / 876

GCD(2, 876) = 2

GCD of 612, 812, 722, 876 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 257, 158, 535
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• GCD of 212, 438, 100, 345

1. What is the GCD of 612, 812, 722, 876?

GCD of 612, 812, 722, 876 is 2

2. Where do I get the detailed procedure to find GCD of 612, 812, 722, 876?

You can find a detailed procedure to find GCD of 612, 812, 722, 876 on our page.

3. How to find GCD of 612, 812, 722, 876 on a calculator?

You can find the GCD of 612, 812, 722, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.