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 15, 394, 352, 677 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 394, 352, 677 is 1
GCD(15, 394, 352, 677) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 394, 352, 677 is 1
GCD(15, 394, 352, 677) = 1
Given Input numbers are 15, 394, 352, 677
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Greatest Common Divisior
We found the divisors of 15, 394, 352, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 394, 352, 677 is 1.
Therefore, GCD of numbers 15, 394, 352, 677 is 1
Given Input Data is 15, 394, 352, 677
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 394 is 2 x 197
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 677 is 677
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(15, 394) = 5910
GCD(15, 394) = ( 15 x 394 ) / 5910
GCD(15, 394) = 5910 / 5910
GCD(15, 394) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 352
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 352) = 352
GCD(1, 352) = ( 1 x 352 ) / 352
GCD(1, 352) = 352 / 352
GCD(1, 352) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 677
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 677) = 677
GCD(1, 677) = ( 1 x 677 ) / 677
GCD(1, 677) = 677 / 677
GCD(1, 677) = 1
GCD of 15, 394, 352, 677 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 394, 352, 677?
GCD of 15, 394, 352, 677 is 1
2. Where do I get the detailed procedure to find GCD of 15, 394, 352, 677?
You can find a detailed procedure to find GCD of 15, 394, 352, 677 on our page.
3. How to find GCD of 15, 394, 352, 677 on a calculator?
You can find the GCD of 15, 394, 352, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.