GCD of 100, 354, 135 Calculator

Given Input numbers are 100, 354, 135

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 100, 354, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 354, 135 is 1.

Therefore, GCD of numbers 100, 354, 135 is 1

Given Input Data is 100, 354, 135

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 135 is 3 x 3 x 3 x 5

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(100, 354) = 17700

GCD(100, 354) = ( 100 x 354 ) / 17700

GCD(100, 354) = 35400 / 17700

GCD(100, 354) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 135

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

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

GCD(2, 135) = 270 / 270

GCD(2, 135) = 1

GCD of 100, 354, 135 is 1

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1. What is the GCD of 100, 354, 135?

GCD of 100, 354, 135 is 1

2. Where do I get the detailed procedure to find GCD of 100, 354, 135?

You can find a detailed procedure to find GCD of 100, 354, 135 on our page.

3. How to find GCD of 100, 354, 135 on a calculator?

You can find the GCD of 100, 354, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.