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 760, 122, 91, 725 i.e. 1 largest integer that divides all the numbers equally.
GCD of 760, 122, 91, 725 is 1
GCD(760, 122, 91, 725) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 760, 122, 91, 725 is 1
GCD(760, 122, 91, 725) = 1
Given Input numbers are 760, 122, 91, 725
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Greatest Common Divisior
We found the divisors of 760, 122, 91, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 122, 91, 725 is 1.
Therefore, GCD of numbers 760, 122, 91, 725 is 1
Given Input Data is 760, 122, 91, 725
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 122 is 2 x 61
Prime Factorization of 91 is 7 x 13
Prime Factorization of 725 is 5 x 5 x 29
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(760, 122) = 46360
GCD(760, 122) = ( 760 x 122 ) / 46360
GCD(760, 122) = 92720 / 46360
GCD(760, 122) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 91) = 182
GCD(2, 91) = ( 2 x 91 ) / 182
GCD(2, 91) = 182 / 182
GCD(2, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 725
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 725) = 725
GCD(1, 725) = ( 1 x 725 ) / 725
GCD(1, 725) = 725 / 725
GCD(1, 725) = 1
GCD of 760, 122, 91, 725 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 760, 122, 91, 725?
GCD of 760, 122, 91, 725 is 1
2. Where do I get the detailed procedure to find GCD of 760, 122, 91, 725?
You can find a detailed procedure to find GCD of 760, 122, 91, 725 on our page.
3. How to find GCD of 760, 122, 91, 725 on a calculator?
You can find the GCD of 760, 122, 91, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.