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, 149, 691 i.e. 1 largest integer that divides all the numbers equally.
GCD of 116, 149, 691 is 1
GCD(116, 149, 691) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 116, 149, 691 is 1
GCD(116, 149, 691) = 1
Given Input numbers are 116, 149, 691
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 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Greatest Common Divisior
We found the divisors of 116, 149, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 149, 691 is 1.
Therefore, GCD of numbers 116, 149, 691 is 1
Given Input Data is 116, 149, 691
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 149 is 149
Prime Factorization of 691 is 691
The above numbers do not have any common prime factor. So GCD is 1
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, 149) = 17284
GCD(116, 149) = ( 116 x 149 ) / 17284
GCD(116, 149) = 17284 / 17284
GCD(116, 149) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 691
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 691) = 691
GCD(1, 691) = ( 1 x 691 ) / 691
GCD(1, 691) = 691 / 691
GCD(1, 691) = 1
GCD of 116, 149, 691 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 116, 149, 691?
GCD of 116, 149, 691 is 1
2. Where do I get the detailed procedure to find GCD of 116, 149, 691?
You can find a detailed procedure to find GCD of 116, 149, 691 on our page.
3. How to find GCD of 116, 149, 691 on a calculator?
You can find the GCD of 116, 149, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.