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 316, 525, 91 i.e. 1 largest integer that divides all the numbers equally.
GCD of 316, 525, 91 is 1
GCD(316, 525, 91) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 316, 525, 91 is 1
GCD(316, 525, 91) = 1
Given Input numbers are 316, 525, 91
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 525
List of positive integer divisors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Greatest Common Divisior
We found the divisors of 316, 525, 91 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 525, 91 is 1.
Therefore, GCD of numbers 316, 525, 91 is 1
Given Input Data is 316, 525, 91
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 525 is 3 x 5 x 5 x 7
Prime Factorization of 91 is 7 x 13
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(316, 525) = 165900
GCD(316, 525) = ( 316 x 525 ) / 165900
GCD(316, 525) = 165900 / 165900
GCD(316, 525) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 91) = 91
GCD(1, 91) = ( 1 x 91 ) / 91
GCD(1, 91) = 91 / 91
GCD(1, 91) = 1
GCD of 316, 525, 91 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 316, 525, 91?
GCD of 316, 525, 91 is 1
2. Where do I get the detailed procedure to find GCD of 316, 525, 91?
You can find a detailed procedure to find GCD of 316, 525, 91 on our page.
3. How to find GCD of 316, 525, 91 on a calculator?
You can find the GCD of 316, 525, 91 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.