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, 358, 52, 590 i.e. 2 largest integer that divides all the numbers equally.
GCD of 952, 358, 52, 590 is 2
GCD(952, 358, 52, 590) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 952, 358, 52, 590 is 2
GCD(952, 358, 52, 590) = 2
Given Input numbers are 952, 358, 52, 590
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 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
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 952, 358, 52, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 358, 52, 590 is 2.
Therefore, GCD of numbers 952, 358, 52, 590 is 2
Given Input Data is 952, 358, 52, 590
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 358 is 2 x 179
Prime Factorization of 52 is 2 x 2 x 13
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(952, 358) = 170408
GCD(952, 358) = ( 952 x 358 ) / 170408
GCD(952, 358) = 340816 / 170408
GCD(952, 358) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 52) = 52
GCD(2, 52) = ( 2 x 52 ) / 52
GCD(2, 52) = 104 / 52
GCD(2, 52) = 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 952, 358, 52, 590 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 952, 358, 52, 590?
GCD of 952, 358, 52, 590 is 2
2. Where do I get the detailed procedure to find GCD of 952, 358, 52, 590?
You can find a detailed procedure to find GCD of 952, 358, 52, 590 on our page.
3. How to find GCD of 952, 358, 52, 590 on a calculator?
You can find the GCD of 952, 358, 52, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.