GCD of 276, 656, 42 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 276, 656, 42 i.e. 2 largest integer that divides all the numbers equally.
GCD of 276, 656, 42 is 2
GCD(276, 656, 42) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 276, 656, 42 is 2
GCD(276, 656, 42) = 2
GCDof 276,656,42 is 2
Given Input numbers are 276, 656, 42
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Greatest Common Divisior
We found the divisors of 276, 656, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 656, 42 is 2.
Therefore, GCD of numbers 276, 656, 42 is 2
Given Input Data is 276, 656, 42
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 42 is 2 x 3 x 7
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 276, 656, 42 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(276, 656) = 45264
GCD(276, 656) = ( 276 x 656 ) / 45264
GCD(276, 656) = 181056 / 45264
GCD(276, 656) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 42) = 84
GCD(4, 42) = ( 4 x 42 ) / 84
GCD(4, 42) = 168 / 84
GCD(4, 42) = 2
GCD of 276, 656, 42 is 2
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FAQs on GCD of numbers 276, 656, 42
1. What is the GCD of 276, 656, 42?
GCD of 276, 656, 42 is 2
2. Where do I get the detailed procedure to find GCD of 276, 656, 42?
You can find a detailed procedure to find GCD of 276, 656, 42 on our page.
3. How to find GCD of 276, 656, 42 on a calculator?
You can find the GCD of 276, 656, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.