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 76, 125, 713, 101 i.e. 1 largest integer that divides all the numbers equally.
GCD of 76, 125, 713, 101 is 1
GCD(76, 125, 713, 101) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 76, 125, 713, 101 is 1
GCD(76, 125, 713, 101) = 1
Given Input numbers are 76, 125, 713, 101
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Greatest Common Divisior
We found the divisors of 76, 125, 713, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 125, 713, 101 is 1.
Therefore, GCD of numbers 76, 125, 713, 101 is 1
Given Input Data is 76, 125, 713, 101
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 125 is 5 x 5 x 5
Prime Factorization of 713 is 23 x 31
Prime Factorization of 101 is 101
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(76, 125) = 9500
GCD(76, 125) = ( 76 x 125 ) / 9500
GCD(76, 125) = 9500 / 9500
GCD(76, 125) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 713
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 713) = 713
GCD(1, 713) = ( 1 x 713 ) / 713
GCD(1, 713) = 713 / 713
GCD(1, 713) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 101
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 101) = 101
GCD(1, 101) = ( 1 x 101 ) / 101
GCD(1, 101) = 101 / 101
GCD(1, 101) = 1
GCD of 76, 125, 713, 101 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 76, 125, 713, 101?
GCD of 76, 125, 713, 101 is 1
2. Where do I get the detailed procedure to find GCD of 76, 125, 713, 101?
You can find a detailed procedure to find GCD of 76, 125, 713, 101 on our page.
3. How to find GCD of 76, 125, 713, 101 on a calculator?
You can find the GCD of 76, 125, 713, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.