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 395, 280, 324, 758 i.e. 1 largest integer that divides all the numbers equally.
GCD of 395, 280, 324, 758 is 1
GCD(395, 280, 324, 758) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 395, 280, 324, 758 is 1
GCD(395, 280, 324, 758) = 1
Given Input numbers are 395, 280, 324, 758
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Greatest Common Divisior
We found the divisors of 395, 280, 324, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 280, 324, 758 is 1.
Therefore, GCD of numbers 395, 280, 324, 758 is 1
Given Input Data is 395, 280, 324, 758
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 395 is 5 x 79
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 758 is 2 x 379
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(395, 280) = 22120
GCD(395, 280) = ( 395 x 280 ) / 22120
GCD(395, 280) = 110600 / 22120
GCD(395, 280) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 324
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 324) = 1620
GCD(5, 324) = ( 5 x 324 ) / 1620
GCD(5, 324) = 1620 / 1620
GCD(5, 324) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 758
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 758) = 758
GCD(1, 758) = ( 1 x 758 ) / 758
GCD(1, 758) = 758 / 758
GCD(1, 758) = 1
GCD of 395, 280, 324, 758 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 395, 280, 324, 758?
GCD of 395, 280, 324, 758 is 1
2. Where do I get the detailed procedure to find GCD of 395, 280, 324, 758?
You can find a detailed procedure to find GCD of 395, 280, 324, 758 on our page.
3. How to find GCD of 395, 280, 324, 758 on a calculator?
You can find the GCD of 395, 280, 324, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.