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 949, 260, 15, 346 i.e. 1 largest integer that divides all the numbers equally.
GCD of 949, 260, 15, 346 is 1
GCD(949, 260, 15, 346) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 949, 260, 15, 346 is 1
GCD(949, 260, 15, 346) = 1
Given Input numbers are 949, 260, 15, 346
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Greatest Common Divisior
We found the divisors of 949, 260, 15, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 260, 15, 346 is 1.
Therefore, GCD of numbers 949, 260, 15, 346 is 1
Given Input Data is 949, 260, 15, 346
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 949 is 13 x 73
Prime Factorization of 260 is 2 x 2 x 5 x 13
Prime Factorization of 15 is 3 x 5
Prime Factorization of 346 is 2 x 173
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(949, 260) = 18980
GCD(949, 260) = ( 949 x 260 ) / 18980
GCD(949, 260) = 246740 / 18980
GCD(949, 260) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 15) = 195
GCD(13, 15) = ( 13 x 15 ) / 195
GCD(13, 15) = 195 / 195
GCD(13, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
GCD(1, 346) = 346 / 346
GCD(1, 346) = 1
GCD of 949, 260, 15, 346 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 949, 260, 15, 346?
GCD of 949, 260, 15, 346 is 1
2. Where do I get the detailed procedure to find GCD of 949, 260, 15, 346?
You can find a detailed procedure to find GCD of 949, 260, 15, 346 on our page.
3. How to find GCD of 949, 260, 15, 346 on a calculator?
You can find the GCD of 949, 260, 15, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.