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 757, 116, 36, 391 i.e. 1 largest integer that divides all the numbers equally.
GCD of 757, 116, 36, 391 is 1
GCD(757, 116, 36, 391) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 757, 116, 36, 391 is 1
GCD(757, 116, 36, 391) = 1
Given Input numbers are 757, 116, 36, 391
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Greatest Common Divisior
We found the divisors of 757, 116, 36, 391 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 757, 116, 36, 391 is 1.
Therefore, GCD of numbers 757, 116, 36, 391 is 1
Given Input Data is 757, 116, 36, 391
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 757 is 757
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 391 is 17 x 23
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(757, 116) = 87812
GCD(757, 116) = ( 757 x 116 ) / 87812
GCD(757, 116) = 87812 / 87812
GCD(757, 116) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 391
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 391) = 391
GCD(1, 391) = ( 1 x 391 ) / 391
GCD(1, 391) = 391 / 391
GCD(1, 391) = 1
GCD of 757, 116, 36, 391 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 757, 116, 36, 391?
GCD of 757, 116, 36, 391 is 1
2. Where do I get the detailed procedure to find GCD of 757, 116, 36, 391?
You can find a detailed procedure to find GCD of 757, 116, 36, 391 on our page.
3. How to find GCD of 757, 116, 36, 391 on a calculator?
You can find the GCD of 757, 116, 36, 391 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.