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 379, 600, 495, 258 i.e. 1 largest integer that divides all the numbers equally.
GCD of 379, 600, 495, 258 is 1
GCD(379, 600, 495, 258) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 379, 600, 495, 258 is 1
GCD(379, 600, 495, 258) = 1
Given Input numbers are 379, 600, 495, 258
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
Greatest Common Divisior
We found the divisors of 379, 600, 495, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 379, 600, 495, 258 is 1.
Therefore, GCD of numbers 379, 600, 495, 258 is 1
Given Input Data is 379, 600, 495, 258
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 379 is 379
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 258 is 2 x 3 x 43
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(379, 600) = 227400
GCD(379, 600) = ( 379 x 600 ) / 227400
GCD(379, 600) = 227400 / 227400
GCD(379, 600) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 495) = 495
GCD(1, 495) = ( 1 x 495 ) / 495
GCD(1, 495) = 495 / 495
GCD(1, 495) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 258
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 258) = 258
GCD(1, 258) = ( 1 x 258 ) / 258
GCD(1, 258) = 258 / 258
GCD(1, 258) = 1
GCD of 379, 600, 495, 258 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 379, 600, 495, 258?
GCD of 379, 600, 495, 258 is 1
2. Where do I get the detailed procedure to find GCD of 379, 600, 495, 258?
You can find a detailed procedure to find GCD of 379, 600, 495, 258 on our page.
3. How to find GCD of 379, 600, 495, 258 on a calculator?
You can find the GCD of 379, 600, 495, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.