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 767, 103, 60 i.e. 1 largest integer that divides all the numbers equally.
GCD of 767, 103, 60 is 1
GCD(767, 103, 60) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 767, 103, 60 is 1
GCD(767, 103, 60) = 1
Given Input numbers are 767, 103, 60
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Greatest Common Divisior
We found the divisors of 767, 103, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 103, 60 is 1.
Therefore, GCD of numbers 767, 103, 60 is 1
Given Input Data is 767, 103, 60
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 767 is 13 x 59
Prime Factorization of 103 is 103
Prime Factorization of 60 is 2 x 2 x 3 x 5
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(767, 103) = 79001
GCD(767, 103) = ( 767 x 103 ) / 79001
GCD(767, 103) = 79001 / 79001
GCD(767, 103) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
GCD of 767, 103, 60 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 767, 103, 60?
GCD of 767, 103, 60 is 1
2. Where do I get the detailed procedure to find GCD of 767, 103, 60?
You can find a detailed procedure to find GCD of 767, 103, 60 on our page.
3. How to find GCD of 767, 103, 60 on a calculator?
You can find the GCD of 767, 103, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.