GCD of 117, 354, 552 Calculator

Given Input numbers are 117, 354, 552

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

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 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Greatest Common Divisior

We found the divisors of 117, 354, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 354, 552 is 3.

Therefore, GCD of numbers 117, 354, 552 is 3

Given Input Data is 117, 354, 552

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(117, 354) = 13806

GCD(117, 354) = ( 117 x 354 ) / 13806

GCD(117, 354) = 41418 / 13806

GCD(117, 354) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 552

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

LCM(3, 552) = 552

GCD(3, 552) = ( 3 x 552 ) / 552

GCD(3, 552) = 1656 / 552

GCD(3, 552) = 3

GCD of 117, 354, 552 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 656, 157
• GCD of 148, 367, 634
• GCD of 318, 541, 890
• GCD of 200, 966, 364
• GCD of 424, 654, 591

1. What is the GCD of 117, 354, 552?

GCD of 117, 354, 552 is 3

2. Where do I get the detailed procedure to find GCD of 117, 354, 552?

You can find a detailed procedure to find GCD of 117, 354, 552 on our page.

3. How to find GCD of 117, 354, 552 on a calculator?

You can find the GCD of 117, 354, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.