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 552, 518, 84, 128 i.e. 2 largest integer that divides all the numbers equally.
GCD of 552, 518, 84, 128 is 2
GCD(552, 518, 84, 128) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 552, 518, 84, 128 is 2
GCD(552, 518, 84, 128) = 2
Given Input numbers are 552, 518, 84, 128
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Greatest Common Divisior
We found the divisors of 552, 518, 84, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 518, 84, 128 is 2.
Therefore, GCD of numbers 552, 518, 84, 128 is 2
Given Input Data is 552, 518, 84, 128
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 518 is 2 x 7 x 37
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
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(552, 518) = 142968
GCD(552, 518) = ( 552 x 518 ) / 142968
GCD(552, 518) = 285936 / 142968
GCD(552, 518) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 84) = 84
GCD(2, 84) = ( 2 x 84 ) / 84
GCD(2, 84) = 168 / 84
GCD(2, 84) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 128
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 128) = 128
GCD(2, 128) = ( 2 x 128 ) / 128
GCD(2, 128) = 256 / 128
GCD(2, 128) = 2
GCD of 552, 518, 84, 128 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 552, 518, 84, 128?
GCD of 552, 518, 84, 128 is 2
2. Where do I get the detailed procedure to find GCD of 552, 518, 84, 128?
You can find a detailed procedure to find GCD of 552, 518, 84, 128 on our page.
3. How to find GCD of 552, 518, 84, 128 on a calculator?
You can find the GCD of 552, 518, 84, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.