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 362, 314, 52, 625 i.e. 1 largest integer that divides all the numbers equally.
GCD of 362, 314, 52, 625 is 1
GCD(362, 314, 52, 625) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 362, 314, 52, 625 is 1
GCD(362, 314, 52, 625) = 1
Given Input numbers are 362, 314, 52, 625
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Greatest Common Divisior
We found the divisors of 362, 314, 52, 625 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 314, 52, 625 is 1.
Therefore, GCD of numbers 362, 314, 52, 625 is 1
Given Input Data is 362, 314, 52, 625
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 362 is 2 x 181
Prime Factorization of 314 is 2 x 157
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 625 is 5 x 5 x 5 x 5
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(362, 314) = 56834
GCD(362, 314) = ( 362 x 314 ) / 56834
GCD(362, 314) = 113668 / 56834
GCD(362, 314) = 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 625
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 625) = 1250
GCD(2, 625) = ( 2 x 625 ) / 1250
GCD(2, 625) = 1250 / 1250
GCD(2, 625) = 1
GCD of 362, 314, 52, 625 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 362, 314, 52, 625?
GCD of 362, 314, 52, 625 is 1
2. Where do I get the detailed procedure to find GCD of 362, 314, 52, 625?
You can find a detailed procedure to find GCD of 362, 314, 52, 625 on our page.
3. How to find GCD of 362, 314, 52, 625 on a calculator?
You can find the GCD of 362, 314, 52, 625 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.