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 702, 108, 91, 260 i.e. 1 largest integer that divides all the numbers equally.
GCD of 702, 108, 91, 260 is 1
GCD(702, 108, 91, 260) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 702, 108, 91, 260 is 1
GCD(702, 108, 91, 260) = 1
Given Input numbers are 702, 108, 91, 260
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Greatest Common Divisior
We found the divisors of 702, 108, 91, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 108, 91, 260 is 1.
Therefore, GCD of numbers 702, 108, 91, 260 is 1
Given Input Data is 702, 108, 91, 260
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 91 is 7 x 13
Prime Factorization of 260 is 2 x 2 x 5 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(702, 108) = 1404
GCD(702, 108) = ( 702 x 108 ) / 1404
GCD(702, 108) = 75816 / 1404
GCD(702, 108) = 54
Step2:
Here we consider the GCD from the above i.e. 54 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(54, 91) = 4914
GCD(54, 91) = ( 54 x 91 ) / 4914
GCD(54, 91) = 4914 / 4914
GCD(54, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 260
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 260) = 260
GCD(1, 260) = ( 1 x 260 ) / 260
GCD(1, 260) = 260 / 260
GCD(1, 260) = 1
GCD of 702, 108, 91, 260 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 702, 108, 91, 260?
GCD of 702, 108, 91, 260 is 1
2. Where do I get the detailed procedure to find GCD of 702, 108, 91, 260?
You can find a detailed procedure to find GCD of 702, 108, 91, 260 on our page.
3. How to find GCD of 702, 108, 91, 260 on a calculator?
You can find the GCD of 702, 108, 91, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.