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 715, 342, 807, 129 i.e. 1 largest integer that divides all the numbers equally.
GCD of 715, 342, 807, 129 is 1
GCD(715, 342, 807, 129) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 715, 342, 807, 129 is 1
GCD(715, 342, 807, 129) = 1
Given Input numbers are 715, 342, 807, 129
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
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 715, 342, 807, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 342, 807, 129 is 1.
Therefore, GCD of numbers 715, 342, 807, 129 is 1
Given Input Data is 715, 342, 807, 129
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 807 is 3 x 269
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(715, 342) = 244530
GCD(715, 342) = ( 715 x 342 ) / 244530
GCD(715, 342) = 244530 / 244530
GCD(715, 342) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 807
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 807) = 807
GCD(1, 807) = ( 1 x 807 ) / 807
GCD(1, 807) = 807 / 807
GCD(1, 807) = 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 715, 342, 807, 129 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 715, 342, 807, 129?
GCD of 715, 342, 807, 129 is 1
2. Where do I get the detailed procedure to find GCD of 715, 342, 807, 129?
You can find a detailed procedure to find GCD of 715, 342, 807, 129 on our page.
3. How to find GCD of 715, 342, 807, 129 on a calculator?
You can find the GCD of 715, 342, 807, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.