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 319, 954, 15, 767 i.e. 1 largest integer that divides all the numbers equally.
GCD of 319, 954, 15, 767 is 1
GCD(319, 954, 15, 767) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 319, 954, 15, 767 is 1
GCD(319, 954, 15, 767) = 1
Given Input numbers are 319, 954, 15, 767
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Greatest Common Divisior
We found the divisors of 319, 954, 15, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 954, 15, 767 is 1.
Therefore, GCD of numbers 319, 954, 15, 767 is 1
Given Input Data is 319, 954, 15, 767
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 319 is 11 x 29
Prime Factorization of 954 is 2 x 3 x 3 x 53
Prime Factorization of 15 is 3 x 5
Prime Factorization of 767 is 13 x 59
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(319, 954) = 304326
GCD(319, 954) = ( 319 x 954 ) / 304326
GCD(319, 954) = 304326 / 304326
GCD(319, 954) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
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
GCD of 319, 954, 15, 767 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 319, 954, 15, 767?
GCD of 319, 954, 15, 767 is 1
2. Where do I get the detailed procedure to find GCD of 319, 954, 15, 767?
You can find a detailed procedure to find GCD of 319, 954, 15, 767 on our page.
3. How to find GCD of 319, 954, 15, 767 on a calculator?
You can find the GCD of 319, 954, 15, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.