GCD of 676, 136, 28 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 676, 136, 28 i.e. 4 largest integer that divides all the numbers equally.
GCD of 676, 136, 28 is 4
GCD(676, 136, 28) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 676, 136, 28 is 4
GCD(676, 136, 28) = 4
GCDof 676,136,28 is 4
Given Input numbers are 676, 136, 28
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Greatest Common Divisior
We found the divisors of 676, 136, 28 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 136, 28 is 4.
Therefore, GCD of numbers 676, 136, 28 is 4
Given Input Data is 676, 136, 28
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 28 is 2 x 2 x 7
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
Finding GCD of 676, 136, 28 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(676, 136) = 22984
GCD(676, 136) = ( 676 x 136 ) / 22984
GCD(676, 136) = 91936 / 22984
GCD(676, 136) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 28) = 28
GCD(4, 28) = ( 4 x 28 ) / 28
GCD(4, 28) = 112 / 28
GCD(4, 28) = 4
GCD of 676, 136, 28 is 4
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 676, 136, 28
1. What is the GCD of 676, 136, 28?
GCD of 676, 136, 28 is 4
2. Where do I get the detailed procedure to find GCD of 676, 136, 28?
You can find a detailed procedure to find GCD of 676, 136, 28 on our page.
3. How to find GCD of 676, 136, 28 on a calculator?
You can find the GCD of 676, 136, 28 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
