GCD of 108, 303, 154 Calculator

Given Input numbers are 108, 303, 154

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 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 108, 303, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 303, 154 is 1.

Therefore, GCD of numbers 108, 303, 154 is 1

Given Input Data is 108, 303, 154

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 303 is 3 x 101

Prime Factorization of 154 is 2 x 7 x 11

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(108, 303) = 10908

GCD(108, 303) = ( 108 x 303 ) / 10908

GCD(108, 303) = 32724 / 10908

GCD(108, 303) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 154

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

LCM(3, 154) = 462

GCD(3, 154) = ( 3 x 154 ) / 462

GCD(3, 154) = 462 / 462

GCD(3, 154) = 1

GCD of 108, 303, 154 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 773, 591
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• GCD of 919, 786, 674
• GCD of 353, 152, 453
• GCD of 782, 946, 252

1. What is the GCD of 108, 303, 154?

GCD of 108, 303, 154 is 1

2. Where do I get the detailed procedure to find GCD of 108, 303, 154?

You can find a detailed procedure to find GCD of 108, 303, 154 on our page.

3. How to find GCD of 108, 303, 154 on a calculator?

You can find the GCD of 108, 303, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.