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, 844, 78, 949 i.e. 1 largest integer that divides all the numbers equally.
GCD of 952, 844, 78, 949 is 1
GCD(952, 844, 78, 949) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 952, 844, 78, 949 is 1
GCD(952, 844, 78, 949) = 1
Given Input numbers are 952, 844, 78, 949
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 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Greatest Common Divisior
We found the divisors of 952, 844, 78, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 844, 78, 949 is 1.
Therefore, GCD of numbers 952, 844, 78, 949 is 1
Given Input Data is 952, 844, 78, 949
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 844 is 2 x 2 x 211
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 949 is 13 x 73
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, 844) = 200872
GCD(952, 844) = ( 952 x 844 ) / 200872
GCD(952, 844) = 803488 / 200872
GCD(952, 844) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 78) = 156
GCD(4, 78) = ( 4 x 78 ) / 156
GCD(4, 78) = 312 / 156
GCD(4, 78) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 949
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 949) = 1898
GCD(2, 949) = ( 2 x 949 ) / 1898
GCD(2, 949) = 1898 / 1898
GCD(2, 949) = 1
GCD of 952, 844, 78, 949 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 952, 844, 78, 949?
GCD of 952, 844, 78, 949 is 1
2. Where do I get the detailed procedure to find GCD of 952, 844, 78, 949?
You can find a detailed procedure to find GCD of 952, 844, 78, 949 on our page.
3. How to find GCD of 952, 844, 78, 949 on a calculator?
You can find the GCD of 952, 844, 78, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.