GCD of 712, 876, 64, 824 Calculator

Given Input numbers are 712, 876, 64, 824

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

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

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 712, 876, 64, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 876, 64, 824 is 4.

Therefore, GCD of numbers 712, 876, 64, 824 is 4

Given Input Data is 712, 876, 64, 824

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

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

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(712, 876) = 155928

GCD(712, 876) = ( 712 x 876 ) / 155928

GCD(712, 876) = 623712 / 155928

GCD(712, 876) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 64

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

LCM(4, 64) = 64

GCD(4, 64) = ( 4 x 64 ) / 64

GCD(4, 64) = 256 / 64

GCD(4, 64) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 824

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

LCM(4, 824) = 824

GCD(4, 824) = ( 4 x 824 ) / 824

GCD(4, 824) = 3296 / 824

GCD(4, 824) = 4

GCD of 712, 876, 64, 824 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 147, 65, 287
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• GCD of 311, 784, 15, 608

1. What is the GCD of 712, 876, 64, 824?

GCD of 712, 876, 64, 824 is 4

2. Where do I get the detailed procedure to find GCD of 712, 876, 64, 824?

You can find a detailed procedure to find GCD of 712, 876, 64, 824 on our page.

3. How to find GCD of 712, 876, 64, 824 on a calculator?

You can find the GCD of 712, 876, 64, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.