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 932, 298, 48, 590 i.e. 2 largest integer that divides all the numbers equally.
GCD of 932, 298, 48, 590 is 2
GCD(932, 298, 48, 590) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 932, 298, 48, 590 is 2
GCD(932, 298, 48, 590) = 2
Given Input numbers are 932, 298, 48, 590
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Greatest Common Divisior
We found the divisors of 932, 298, 48, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 932, 298, 48, 590 is 2.
Therefore, GCD of numbers 932, 298, 48, 590 is 2
Given Input Data is 932, 298, 48, 590
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 932 is 2 x 2 x 233
Prime Factorization of 298 is 2 x 149
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 590 is 2 x 5 x 59
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(932, 298) = 138868
GCD(932, 298) = ( 932 x 298 ) / 138868
GCD(932, 298) = 277736 / 138868
GCD(932, 298) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 48) = 48
GCD(2, 48) = ( 2 x 48 ) / 48
GCD(2, 48) = 96 / 48
GCD(2, 48) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 590
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 590) = 590
GCD(2, 590) = ( 2 x 590 ) / 590
GCD(2, 590) = 1180 / 590
GCD(2, 590) = 2
GCD of 932, 298, 48, 590 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 932, 298, 48, 590?
GCD of 932, 298, 48, 590 is 2
2. Where do I get the detailed procedure to find GCD of 932, 298, 48, 590?
You can find a detailed procedure to find GCD of 932, 298, 48, 590 on our page.
3. How to find GCD of 932, 298, 48, 590 on a calculator?
You can find the GCD of 932, 298, 48, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.