GCD of 228, 708, 688 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 228, 708, 688 i.e. 4 largest integer that divides all the numbers equally.
GCD of 228, 708, 688 is 4
GCD(228, 708, 688) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 228, 708, 688 is 4
GCD(228, 708, 688) = 4
GCDof 228,708,688 is 4
Given Input numbers are 228, 708, 688
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 228
List of positive integer divisors of 228 that divides 228 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Greatest Common Divisior
We found the divisors of 228, 708, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 708, 688 is 4.
Therefore, GCD of numbers 228, 708, 688 is 4
Given Input Data is 228, 708, 688
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 228 is 2 x 2 x 3 x 19
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
Finding GCD of 228, 708, 688 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(228, 708) = 13452
GCD(228, 708) = ( 228 x 708 ) / 13452
GCD(228, 708) = 161424 / 13452
GCD(228, 708) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 688
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 688) = 2064
GCD(12, 688) = ( 12 x 688 ) / 2064
GCD(12, 688) = 8256 / 2064
GCD(12, 688) = 4
GCD of 228, 708, 688 is 4
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FAQs on GCD of numbers 228, 708, 688
1. What is the GCD of 228, 708, 688?
GCD of 228, 708, 688 is 4
2. Where do I get the detailed procedure to find GCD of 228, 708, 688?
You can find a detailed procedure to find GCD of 228, 708, 688 on our page.
3. How to find GCD of 228, 708, 688 on a calculator?
You can find the GCD of 228, 708, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.