GCD of 116, 274, 39 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 116, 274, 39 i.e. 1 largest integer that divides all the numbers equally.
GCD of 116, 274, 39 is 1
GCD(116, 274, 39) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 116, 274, 39 is 1
GCD(116, 274, 39) = 1
GCDof 116,274,39 is 1
Given Input numbers are 116, 274, 39
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Greatest Common Divisior
We found the divisors of 116, 274, 39 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 274, 39 is 1.
Therefore, GCD of numbers 116, 274, 39 is 1
Given Input Data is 116, 274, 39
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 274 is 2 x 137
Prime Factorization of 39 is 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 116, 274, 39 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(116, 274) = 15892
GCD(116, 274) = ( 116 x 274 ) / 15892
GCD(116, 274) = 31784 / 15892
GCD(116, 274) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 39) = 78
GCD(2, 39) = ( 2 x 39 ) / 78
GCD(2, 39) = 78 / 78
GCD(2, 39) = 1
GCD of 116, 274, 39 is 1
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FAQs on GCD of numbers 116, 274, 39
1. What is the GCD of 116, 274, 39?
GCD of 116, 274, 39 is 1
2. Where do I get the detailed procedure to find GCD of 116, 274, 39?
You can find a detailed procedure to find GCD of 116, 274, 39 on our page.
3. How to find GCD of 116, 274, 39 on a calculator?
You can find the GCD of 116, 274, 39 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.