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, 517, 168, 746 i.e. 1 largest integer that divides all the numbers equally.
GCD of 116, 517, 168, 746 is 1
GCD(116, 517, 168, 746) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 116, 517, 168, 746 is 1
GCD(116, 517, 168, 746) = 1
Given Input numbers are 116, 517, 168, 746
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 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Greatest Common Divisior
We found the divisors of 116, 517, 168, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 517, 168, 746 is 1.
Therefore, GCD of numbers 116, 517, 168, 746 is 1
Given Input Data is 116, 517, 168, 746
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 517 is 11 x 47
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 746 is 2 x 373
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, 517) = 59972
GCD(116, 517) = ( 116 x 517 ) / 59972
GCD(116, 517) = 59972 / 59972
GCD(116, 517) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 168) = 168
GCD(1, 168) = ( 1 x 168 ) / 168
GCD(1, 168) = 168 / 168
GCD(1, 168) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 746
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 746) = 746
GCD(1, 746) = ( 1 x 746 ) / 746
GCD(1, 746) = 746 / 746
GCD(1, 746) = 1
GCD of 116, 517, 168, 746 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 116, 517, 168, 746?
GCD of 116, 517, 168, 746 is 1
2. Where do I get the detailed procedure to find GCD of 116, 517, 168, 746?
You can find a detailed procedure to find GCD of 116, 517, 168, 746 on our page.
3. How to find GCD of 116, 517, 168, 746 on a calculator?
You can find the GCD of 116, 517, 168, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.