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, 35, 25, 82 i.e. 1 largest integer that divides all the numbers equally.
GCD of 14, 35, 25, 82 is 1
GCD(14, 35, 25, 82) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 14, 35, 25, 82 is 1
GCD(14, 35, 25, 82) = 1
Given Input numbers are 14, 35, 25, 82
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 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Greatest Common Divisior
We found the divisors of 14, 35, 25, 82 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 35, 25, 82 is 1.
Therefore, GCD of numbers 14, 35, 25, 82 is 1
Given Input Data is 14, 35, 25, 82
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 14 is 2 x 7
Prime Factorization of 35 is 5 x 7
Prime Factorization of 25 is 5 x 5
Prime Factorization of 82 is 2 x 41
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, 35) = 70
GCD(14, 35) = ( 14 x 35 ) / 70
GCD(14, 35) = 490 / 70
GCD(14, 35) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 25) = 175
GCD(7, 25) = ( 7 x 25 ) / 175
GCD(7, 25) = 175 / 175
GCD(7, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 82) = 82
GCD(1, 82) = ( 1 x 82 ) / 82
GCD(1, 82) = 82 / 82
GCD(1, 82) = 1
GCD of 14, 35, 25, 82 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 14, 35, 25, 82?
GCD of 14, 35, 25, 82 is 1
2. Where do I get the detailed procedure to find GCD of 14, 35, 25, 82?
You can find a detailed procedure to find GCD of 14, 35, 25, 82 on our page.
3. How to find GCD of 14, 35, 25, 82 on a calculator?
You can find the GCD of 14, 35, 25, 82 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.