GCD of 814, 614, 139 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 814, 614, 139 i.e. 1 largest integer that divides all the numbers equally.
GCD of 814, 614, 139 is 1
GCD(814, 614, 139) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 814, 614, 139 is 1
GCD(814, 614, 139) = 1
GCDof 814,614,139 is 1
Given Input numbers are 814, 614, 139
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Divisors of 139
List of positive integer divisors of 139 that divides 139 without a remainder.
1, 139
Greatest Common Divisior
We found the divisors of 814, 614, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 614, 139 is 1.
Therefore, GCD of numbers 814, 614, 139 is 1
Given Input Data is 814, 614, 139
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 614 is 2 x 307
Prime Factorization of 139 is 139
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 814, 614, 139 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(814, 614) = 249898
GCD(814, 614) = ( 814 x 614 ) / 249898
GCD(814, 614) = 499796 / 249898
GCD(814, 614) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 139
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 139) = 278
GCD(2, 139) = ( 2 x 139 ) / 278
GCD(2, 139) = 278 / 278
GCD(2, 139) = 1
GCD of 814, 614, 139 is 1
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FAQs on GCD of numbers 814, 614, 139
1. What is the GCD of 814, 614, 139?
GCD of 814, 614, 139 is 1
2. Where do I get the detailed procedure to find GCD of 814, 614, 139?
You can find a detailed procedure to find GCD of 814, 614, 139 on our page.
3. How to find GCD of 814, 614, 139 on a calculator?
You can find the GCD of 814, 614, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.