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, 816, 954, 321 i.e. 1 largest integer that divides all the numbers equally.
GCD of 952, 816, 954, 321 is 1
GCD(952, 816, 954, 321) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 952, 816, 954, 321 is 1
GCD(952, 816, 954, 321) = 1
Given Input numbers are 952, 816, 954, 321
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 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
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 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Greatest Common Divisior
We found the divisors of 952, 816, 954, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 816, 954, 321 is 1.
Therefore, GCD of numbers 952, 816, 954, 321 is 1
Given Input Data is 952, 816, 954, 321
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 816 is 2 x 2 x 2 x 2 x 3 x 17
Prime Factorization of 954 is 2 x 3 x 3 x 53
Prime Factorization of 321 is 3 x 107
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, 816) = 5712
GCD(952, 816) = ( 952 x 816 ) / 5712
GCD(952, 816) = 776832 / 5712
GCD(952, 816) = 136
Step2:
Here we consider the GCD from the above i.e. 136 as first number and the next as 954
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(136, 954) = 64872
GCD(136, 954) = ( 136 x 954 ) / 64872
GCD(136, 954) = 129744 / 64872
GCD(136, 954) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 321
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 321) = 642
GCD(2, 321) = ( 2 x 321 ) / 642
GCD(2, 321) = 642 / 642
GCD(2, 321) = 1
GCD of 952, 816, 954, 321 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 952, 816, 954, 321?
GCD of 952, 816, 954, 321 is 1
2. Where do I get the detailed procedure to find GCD of 952, 816, 954, 321?
You can find a detailed procedure to find GCD of 952, 816, 954, 321 on our page.
3. How to find GCD of 952, 816, 954, 321 on a calculator?
You can find the GCD of 952, 816, 954, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.