GCD of 108, 640, 996, 160 Calculator

Given Input numbers are 108, 640, 996, 160

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 108, 640, 996, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 640, 996, 160 is 4.

Therefore, GCD of numbers 108, 640, 996, 160 is 4

Given Input Data is 108, 640, 996, 160

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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(108, 640) = 17280

GCD(108, 640) = ( 108 x 640 ) / 17280

GCD(108, 640) = 69120 / 17280

GCD(108, 640) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 996

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

LCM(4, 996) = 996

GCD(4, 996) = ( 4 x 996 ) / 996

GCD(4, 996) = 3984 / 996

GCD(4, 996) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 160

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

LCM(4, 160) = 160

GCD(4, 160) = ( 4 x 160 ) / 160

GCD(4, 160) = 640 / 160

GCD(4, 160) = 4

GCD of 108, 640, 996, 160 is 4

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1. What is the GCD of 108, 640, 996, 160?

GCD of 108, 640, 996, 160 is 4

2. Where do I get the detailed procedure to find GCD of 108, 640, 996, 160?

You can find a detailed procedure to find GCD of 108, 640, 996, 160 on our page.

3. How to find GCD of 108, 640, 996, 160 on a calculator?

You can find the GCD of 108, 640, 996, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.