GCD of 76, 864, 344, 652 Calculator

Given Input numbers are 76, 864, 344, 652

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 76, 864, 344, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 864, 344, 652 is 4.

Therefore, GCD of numbers 76, 864, 344, 652 is 4

Given Input Data is 76, 864, 344, 652

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 652 is 2 x 2 x 163

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(76, 864) = 16416

GCD(76, 864) = ( 76 x 864 ) / 16416

GCD(76, 864) = 65664 / 16416

GCD(76, 864) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 344

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

LCM(4, 344) = 344

GCD(4, 344) = ( 4 x 344 ) / 344

GCD(4, 344) = 1376 / 344

GCD(4, 344) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 652

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

LCM(4, 652) = 652

GCD(4, 652) = ( 4 x 652 ) / 652

GCD(4, 652) = 2608 / 652

GCD(4, 652) = 4

GCD of 76, 864, 344, 652 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 93, 435, 340, 712
• GCD of 76, 899, 972, 145
• GCD of 53, 870, 144, 702
• GCD of 81, 563, 841, 601
• GCD of 24, 753, 601, 920

1. What is the GCD of 76, 864, 344, 652?

GCD of 76, 864, 344, 652 is 4

2. Where do I get the detailed procedure to find GCD of 76, 864, 344, 652?

You can find a detailed procedure to find GCD of 76, 864, 344, 652 on our page.

3. How to find GCD of 76, 864, 344, 652 on a calculator?

You can find the GCD of 76, 864, 344, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.