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 88, 216, 626, 128 i.e. 2 largest integer that divides all the numbers equally.
GCD of 88, 216, 626, 128 is 2
GCD(88, 216, 626, 128) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 88, 216, 626, 128 is 2
GCD(88, 216, 626, 128) = 2
Given Input numbers are 88, 216, 626, 128
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
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 88, 216, 626, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 216, 626, 128 is 2.
Therefore, GCD of numbers 88, 216, 626, 128 is 2
Given Input Data is 88, 216, 626, 128
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 626 is 2 x 313
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(88, 216) = 2376
GCD(88, 216) = ( 88 x 216 ) / 2376
GCD(88, 216) = 19008 / 2376
GCD(88, 216) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 626
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 626) = 2504
GCD(8, 626) = ( 8 x 626 ) / 2504
GCD(8, 626) = 5008 / 2504
GCD(8, 626) = 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 88, 216, 626, 128 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 88, 216, 626, 128?
GCD of 88, 216, 626, 128 is 2
2. Where do I get the detailed procedure to find GCD of 88, 216, 626, 128?
You can find a detailed procedure to find GCD of 88, 216, 626, 128 on our page.
3. How to find GCD of 88, 216, 626, 128 on a calculator?
You can find the GCD of 88, 216, 626, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.