Where do I get the detailed procedure to find GCD of 552, 774, 117?

You can find a detailed procedure to find GCD of 552, 774, 117 on our page.

How to find GCD of 552, 774, 117 on a calculator?

You can find the GCD of 552, 774, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 552, 774, 117 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 552, 774, 117 quickly. Get the easiest ways to solve the greatest common divisor of 552, 774, 117 i.e 3 in different methods as follows.

How to Find GCD of Numbers 552, 774, 117 with Factoring?

Given Input numbers are 552, 774, 117

In the factoring method, we have to find the divisors of all numbers

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

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

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

GCD of numbers is the greatest common divisor

So, the GCD (552, 774, 117) = 3.

Find GCD of 552, 774, 117 using Prime Factorization

Given numbers are 552, 774, 117

The list of prime factors of all numbers are

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 117 are 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 552, 774, 117 is 3.

Steps to Calculate GCD of 552, 774, 117 using LCM Formula

Given numbers are 552, 774, 117

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(552, 774) = 71208

GCD(552, 774) = ( 552 x 774 ) / 71208

= 552 / 774

= 552

Step2:

LCM(6, 117) = 234

GCD(6, 117) = ( 6 x 117 ) / 234

= 6 / 117

= 6

So, Greatest Common Divisor of 552, 774, 117 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 552, 774, 117

Given numbers are 552, 774, 117
The greatest common divisor of numbers 552, 774, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 774, 117 is 3.

FAQs on GCD of 552, 774, 117 Calculator

1. What is the GCD of 552, 774, 117?

GCD of given numbers 552, 774, 117 is 3

2. How to calculate the greatest common divisor of 552, 774, 117?

We can find the highest common divisor of 552, 774, 117 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 552, 774, 117 i.e 3.

3. How can I use the GCD of 552, 774, 117Calculator?

Out the numbers 552, 774, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.