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 117, 739, 52, 626 i.e. 1 largest integer that divides all the numbers equally.
GCD of 117, 739, 52, 626 is 1
GCD(117, 739, 52, 626) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 117, 739, 52, 626 is 1
GCD(117, 739, 52, 626) = 1
Given Input numbers are 117, 739, 52, 626
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Greatest Common Divisior
We found the divisors of 117, 739, 52, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 739, 52, 626 is 1.
Therefore, GCD of numbers 117, 739, 52, 626 is 1
Given Input Data is 117, 739, 52, 626
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 739 is 739
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 626 is 2 x 313
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(117, 739) = 86463
GCD(117, 739) = ( 117 x 739 ) / 86463
GCD(117, 739) = 86463 / 86463
GCD(117, 739) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 626
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 626) = 626
GCD(1, 626) = ( 1 x 626 ) / 626
GCD(1, 626) = 626 / 626
GCD(1, 626) = 1
GCD of 117, 739, 52, 626 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 117, 739, 52, 626?
GCD of 117, 739, 52, 626 is 1
2. Where do I get the detailed procedure to find GCD of 117, 739, 52, 626?
You can find a detailed procedure to find GCD of 117, 739, 52, 626 on our page.
3. How to find GCD of 117, 739, 52, 626 on a calculator?
You can find the GCD of 117, 739, 52, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.