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 numbers 920, 126, 552 is 2
GCD(920, 126, 552) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.