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 348, 108, 263, 595 i.e. 1 largest integer that divides all the numbers equally.
GCD of 348, 108, 263, 595 is 1
GCD(348, 108, 263, 595) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 348, 108, 263, 595 is 1
GCD(348, 108, 263, 595) = 1
Given Input numbers are 348, 108, 263, 595
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Divisors of 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Greatest Common Divisior
We found the divisors of 348, 108, 263, 595 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 108, 263, 595 is 1.
Therefore, GCD of numbers 348, 108, 263, 595 is 1
Given Input Data is 348, 108, 263, 595
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 263 is 263
Prime Factorization of 595 is 5 x 7 x 17
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(348, 108) = 3132
GCD(348, 108) = ( 348 x 108 ) / 3132
GCD(348, 108) = 37584 / 3132
GCD(348, 108) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 263
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 263) = 3156
GCD(12, 263) = ( 12 x 263 ) / 3156
GCD(12, 263) = 3156 / 3156
GCD(12, 263) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 595
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 595) = 595
GCD(1, 595) = ( 1 x 595 ) / 595
GCD(1, 595) = 595 / 595
GCD(1, 595) = 1
GCD of 348, 108, 263, 595 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 348, 108, 263, 595?
GCD of 348, 108, 263, 595 is 1
2. Where do I get the detailed procedure to find GCD of 348, 108, 263, 595?
You can find a detailed procedure to find GCD of 348, 108, 263, 595 on our page.
3. How to find GCD of 348, 108, 263, 595 on a calculator?
You can find the GCD of 348, 108, 263, 595 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.