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 96, 550, 484, 948 i.e. 2 largest integer that divides all the numbers equally.
GCD of 96, 550, 484, 948 is 2
GCD(96, 550, 484, 948) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 96, 550, 484, 948 is 2
GCD(96, 550, 484, 948) = 2
Given Input numbers are 96, 550, 484, 948
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Greatest Common Divisior
We found the divisors of 96, 550, 484, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 550, 484, 948 is 2.
Therefore, GCD of numbers 96, 550, 484, 948 is 2
Given Input Data is 96, 550, 484, 948
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 948 is 2 x 2 x 3 x 79
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(96, 550) = 26400
GCD(96, 550) = ( 96 x 550 ) / 26400
GCD(96, 550) = 52800 / 26400
GCD(96, 550) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 484
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 484) = 484
GCD(2, 484) = ( 2 x 484 ) / 484
GCD(2, 484) = 968 / 484
GCD(2, 484) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 948
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 948) = 948
GCD(2, 948) = ( 2 x 948 ) / 948
GCD(2, 948) = 1896 / 948
GCD(2, 948) = 2
GCD of 96, 550, 484, 948 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 96, 550, 484, 948?
GCD of 96, 550, 484, 948 is 2
2. Where do I get the detailed procedure to find GCD of 96, 550, 484, 948?
You can find a detailed procedure to find GCD of 96, 550, 484, 948 on our page.
3. How to find GCD of 96, 550, 484, 948 on a calculator?
You can find the GCD of 96, 550, 484, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.