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 952, 729, 76, 334 i.e. 1 largest integer that divides all the numbers equally.
GCD of 952, 729, 76, 334 is 1
GCD(952, 729, 76, 334) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 952, 729, 76, 334 is 1
GCD(952, 729, 76, 334) = 1
Given Input numbers are 952, 729, 76, 334
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Greatest Common Divisior
We found the divisors of 952, 729, 76, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 729, 76, 334 is 1.
Therefore, GCD of numbers 952, 729, 76, 334 is 1
Given Input Data is 952, 729, 76, 334
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 334 is 2 x 167
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(952, 729) = 694008
GCD(952, 729) = ( 952 x 729 ) / 694008
GCD(952, 729) = 694008 / 694008
GCD(952, 729) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 334
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 334) = 334
GCD(1, 334) = ( 1 x 334 ) / 334
GCD(1, 334) = 334 / 334
GCD(1, 334) = 1
GCD of 952, 729, 76, 334 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 952, 729, 76, 334?
GCD of 952, 729, 76, 334 is 1
2. Where do I get the detailed procedure to find GCD of 952, 729, 76, 334?
You can find a detailed procedure to find GCD of 952, 729, 76, 334 on our page.
3. How to find GCD of 952, 729, 76, 334 on a calculator?
You can find the GCD of 952, 729, 76, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.