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 552, 328, 94, 962 i.e. 2 largest integer that divides all the numbers equally.
GCD of 552, 328, 94, 962 is 2
GCD(552, 328, 94, 962) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 552, 328, 94, 962 is 2
GCD(552, 328, 94, 962) = 2
Given Input numbers are 552, 328, 94, 962
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 94
List of positive integer divisors of 94 that divides 94 without a remainder.
1, 2, 47, 94
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Greatest Common Divisior
We found the divisors of 552, 328, 94, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 328, 94, 962 is 2.
Therefore, GCD of numbers 552, 328, 94, 962 is 2
Given Input Data is 552, 328, 94, 962
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 94 is 2 x 47
Prime Factorization of 962 is 2 x 13 x 37
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(552, 328) = 22632
GCD(552, 328) = ( 552 x 328 ) / 22632
GCD(552, 328) = 181056 / 22632
GCD(552, 328) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 94
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 94) = 376
GCD(8, 94) = ( 8 x 94 ) / 376
GCD(8, 94) = 752 / 376
GCD(8, 94) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 962
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 962) = 962
GCD(2, 962) = ( 2 x 962 ) / 962
GCD(2, 962) = 1924 / 962
GCD(2, 962) = 2
GCD of 552, 328, 94, 962 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 552, 328, 94, 962?
GCD of 552, 328, 94, 962 is 2
2. Where do I get the detailed procedure to find GCD of 552, 328, 94, 962?
You can find a detailed procedure to find GCD of 552, 328, 94, 962 on our page.
3. How to find GCD of 552, 328, 94, 962 on a calculator?
You can find the GCD of 552, 328, 94, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.