GCD of 916, 435, 88, 108 Calculator

Given Input numbers are 916, 435, 88, 108

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

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

Greatest Common Divisior

We found the divisors of 916, 435, 88, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 435, 88, 108 is 1.

Therefore, GCD of numbers 916, 435, 88, 108 is 1

Given Input Data is 916, 435, 88, 108

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 88 is 2 x 2 x 2 x 11

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

The above numbers do not have any common prime factor. So GCD is 1

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(916, 435) = 398460

GCD(916, 435) = ( 916 x 435 ) / 398460

GCD(916, 435) = 398460 / 398460

GCD(916, 435) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 88

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

LCM(1, 88) = 88

GCD(1, 88) = ( 1 x 88 ) / 88

GCD(1, 88) = 88 / 88

GCD(1, 88) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 916, 435, 88, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 422, 765, 85, 127
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• GCD of 441, 470, 14, 949
• GCD of 206, 163, 71, 661

1. What is the GCD of 916, 435, 88, 108?

GCD of 916, 435, 88, 108 is 1

2. Where do I get the detailed procedure to find GCD of 916, 435, 88, 108?

You can find a detailed procedure to find GCD of 916, 435, 88, 108 on our page.

3. How to find GCD of 916, 435, 88, 108 on a calculator?

You can find the GCD of 916, 435, 88, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.