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 598, 452, 265 i.e. 1 largest integer that divides all the numbers equally.
GCD of 598, 452, 265 is 1
GCD(598, 452, 265) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 598, 452, 265 is 1
GCD(598, 452, 265) = 1
Given Input numbers are 598, 452, 265
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Greatest Common Divisior
We found the divisors of 598, 452, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 452, 265 is 1.
Therefore, GCD of numbers 598, 452, 265 is 1
Given Input Data is 598, 452, 265
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 598 is 2 x 13 x 23
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 265 is 5 x 53
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(598, 452) = 135148
GCD(598, 452) = ( 598 x 452 ) / 135148
GCD(598, 452) = 270296 / 135148
GCD(598, 452) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 265
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 265) = 530
GCD(2, 265) = ( 2 x 265 ) / 530
GCD(2, 265) = 530 / 530
GCD(2, 265) = 1
GCD of 598, 452, 265 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 598, 452, 265?
GCD of 598, 452, 265 is 1
2. Where do I get the detailed procedure to find GCD of 598, 452, 265?
You can find a detailed procedure to find GCD of 598, 452, 265 on our page.
3. How to find GCD of 598, 452, 265 on a calculator?
You can find the GCD of 598, 452, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.