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 349, 595, 46, 860 i.e. 1 largest integer that divides all the numbers equally.
GCD of 349, 595, 46, 860 is 1
GCD(349, 595, 46, 860) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 349, 595, 46, 860 is 1
GCD(349, 595, 46, 860) = 1
Given Input numbers are 349, 595, 46, 860
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Greatest Common Divisior
We found the divisors of 349, 595, 46, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 595, 46, 860 is 1.
Therefore, GCD of numbers 349, 595, 46, 860 is 1
Given Input Data is 349, 595, 46, 860
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 349 is 349
Prime Factorization of 595 is 5 x 7 x 17
Prime Factorization of 46 is 2 x 23
Prime Factorization of 860 is 2 x 2 x 5 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(349, 595) = 207655
GCD(349, 595) = ( 349 x 595 ) / 207655
GCD(349, 595) = 207655 / 207655
GCD(349, 595) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 46) = 46
GCD(1, 46) = ( 1 x 46 ) / 46
GCD(1, 46) = 46 / 46
GCD(1, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 860
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 860) = 860
GCD(1, 860) = ( 1 x 860 ) / 860
GCD(1, 860) = 860 / 860
GCD(1, 860) = 1
GCD of 349, 595, 46, 860 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 349, 595, 46, 860?
GCD of 349, 595, 46, 860 is 1
2. Where do I get the detailed procedure to find GCD of 349, 595, 46, 860?
You can find a detailed procedure to find GCD of 349, 595, 46, 860 on our page.
3. How to find GCD of 349, 595, 46, 860 on a calculator?
You can find the GCD of 349, 595, 46, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.