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 14, 346, 136, 895 i.e. 1 largest integer that divides all the numbers equally.
GCD of 14, 346, 136, 895 is 1
GCD(14, 346, 136, 895) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 14, 346, 136, 895 is 1
GCD(14, 346, 136, 895) = 1
Given Input numbers are 14, 346, 136, 895
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 895
List of positive integer divisors of 895 that divides 895 without a remainder.
1, 5, 179, 895
Greatest Common Divisior
We found the divisors of 14, 346, 136, 895 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 346, 136, 895 is 1.
Therefore, GCD of numbers 14, 346, 136, 895 is 1
Given Input Data is 14, 346, 136, 895
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 14 is 2 x 7
Prime Factorization of 346 is 2 x 173
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 895 is 5 x 179
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(14, 346) = 2422
GCD(14, 346) = ( 14 x 346 ) / 2422
GCD(14, 346) = 4844 / 2422
GCD(14, 346) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 136) = 136
GCD(2, 136) = ( 2 x 136 ) / 136
GCD(2, 136) = 272 / 136
GCD(2, 136) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 895
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 895) = 1790
GCD(2, 895) = ( 2 x 895 ) / 1790
GCD(2, 895) = 1790 / 1790
GCD(2, 895) = 1
GCD of 14, 346, 136, 895 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 14, 346, 136, 895?
GCD of 14, 346, 136, 895 is 1
2. Where do I get the detailed procedure to find GCD of 14, 346, 136, 895?
You can find a detailed procedure to find GCD of 14, 346, 136, 895 on our page.
3. How to find GCD of 14, 346, 136, 895 on a calculator?
You can find the GCD of 14, 346, 136, 895 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.