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, 628, 308, 720 i.e. 4 largest integer that divides all the numbers equally.
GCD of 88, 628, 308, 720 is 4
GCD(88, 628, 308, 720) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 88, 628, 308, 720 is 4
GCD(88, 628, 308, 720) = 4
Given Input numbers are 88, 628, 308, 720
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 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Greatest Common Divisior
We found the divisors of 88, 628, 308, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 628, 308, 720 is 4.
Therefore, GCD of numbers 88, 628, 308, 720 is 4
Given Input Data is 88, 628, 308, 720
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 628 is 2 x 2 x 157
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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, 628) = 13816
GCD(88, 628) = ( 88 x 628 ) / 13816
GCD(88, 628) = 55264 / 13816
GCD(88, 628) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 308
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 308) = 308
GCD(4, 308) = ( 4 x 308 ) / 308
GCD(4, 308) = 1232 / 308
GCD(4, 308) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 720
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 720) = 720
GCD(4, 720) = ( 4 x 720 ) / 720
GCD(4, 720) = 2880 / 720
GCD(4, 720) = 4
GCD of 88, 628, 308, 720 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 88, 628, 308, 720?
GCD of 88, 628, 308, 720 is 4
2. Where do I get the detailed procedure to find GCD of 88, 628, 308, 720?
You can find a detailed procedure to find GCD of 88, 628, 308, 720 on our page.
3. How to find GCD of 88, 628, 308, 720 on a calculator?
You can find the GCD of 88, 628, 308, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.