GCD of 920, 126, 552 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 920, 126, 552 i.e. 2 largest integer that divides all the numbers equally.

GCD of 920, 126, 552 is 2

GCD(920, 126, 552) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 920, 126, 552 is 2

GCD(920, 126, 552) = 2

GCD of 920,126,552 Calculator

GCDof 920,126,552 is 2

Given Input numbers are 920, 126, 552

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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 920, 126, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 126, 552 is 2.

Therefore, GCD of numbers 920, 126, 552 is 2

Finding GCD of 920, 126, 552 using Prime Factorization

Given Input Data is 920, 126, 552

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 126 is 2 x 3 x 3 x 7

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

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 920, 126, 552 using LCM Formula

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(920, 126) = 57960

GCD(920, 126) = ( 920 x 126 ) / 57960

GCD(920, 126) = 115920 / 57960

GCD(920, 126) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 552

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

LCM(2, 552) = 552

GCD(2, 552) = ( 2 x 552 ) / 552

GCD(2, 552) = 1104 / 552

GCD(2, 552) = 2

GCD of 920, 126, 552 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 920, 126, 552

1. What is the GCD of 920, 126, 552?

GCD of 920, 126, 552 is 2


2. Where do I get the detailed procedure to find GCD of 920, 126, 552?

You can find a detailed procedure to find GCD of 920, 126, 552 on our page.


3. How to find GCD of 920, 126, 552 on a calculator?

You can find the GCD of 920, 126, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.