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 85, 251, 767, 129 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 251, 767, 129 is 1
GCD(85, 251, 767, 129) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 251, 767, 129 is 1
GCD(85, 251, 767, 129) = 1
Given Input numbers are 85, 251, 767, 129
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Greatest Common Divisior
We found the divisors of 85, 251, 767, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 251, 767, 129 is 1.
Therefore, GCD of numbers 85, 251, 767, 129 is 1
Given Input Data is 85, 251, 767, 129
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 251 is 251
Prime Factorization of 767 is 13 x 59
Prime Factorization of 129 is 3 x 43
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(85, 251) = 21335
GCD(85, 251) = ( 85 x 251 ) / 21335
GCD(85, 251) = 21335 / 21335
GCD(85, 251) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 767
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 767) = 767
GCD(1, 767) = ( 1 x 767 ) / 767
GCD(1, 767) = 767 / 767
GCD(1, 767) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 129
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 129) = 129
GCD(1, 129) = ( 1 x 129 ) / 129
GCD(1, 129) = 129 / 129
GCD(1, 129) = 1
GCD of 85, 251, 767, 129 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 251, 767, 129?
GCD of 85, 251, 767, 129 is 1
2. Where do I get the detailed procedure to find GCD of 85, 251, 767, 129?
You can find a detailed procedure to find GCD of 85, 251, 767, 129 on our page.
3. How to find GCD of 85, 251, 767, 129 on a calculator?
You can find the GCD of 85, 251, 767, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.