GCD of 640, 116, 76, 880 Calculator

Given Input numbers are 640, 116, 76, 880

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

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 76

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

1, 2, 4, 19, 38, 76

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Greatest Common Divisior

We found the divisors of 640, 116, 76, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 116, 76, 880 is 4.

Therefore, GCD of numbers 640, 116, 76, 880 is 4

Given Input Data is 640, 116, 76, 880

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

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

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(640, 116) = 18560

GCD(640, 116) = ( 640 x 116 ) / 18560

GCD(640, 116) = 74240 / 18560

GCD(640, 116) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 76

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

LCM(4, 76) = 76

GCD(4, 76) = ( 4 x 76 ) / 76

GCD(4, 76) = 304 / 76

GCD(4, 76) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 880

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

LCM(4, 880) = 880

GCD(4, 880) = ( 4 x 880 ) / 880

GCD(4, 880) = 3520 / 880

GCD(4, 880) = 4

GCD of 640, 116, 76, 880 is 4

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1. What is the GCD of 640, 116, 76, 880?

GCD of 640, 116, 76, 880 is 4

2. Where do I get the detailed procedure to find GCD of 640, 116, 76, 880?

You can find a detailed procedure to find GCD of 640, 116, 76, 880 on our page.

3. How to find GCD of 640, 116, 76, 880 on a calculator?

You can find the GCD of 640, 116, 76, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.