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 39, 70, 15 i.e. 1 largest integer that divides all the numbers equally.
GCD of 39, 70, 15 is 1
GCD(39, 70, 15) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 39, 70, 15 is 1
GCD(39, 70, 15) = 1
Given Input numbers are 39, 70, 15
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Greatest Common Divisior
We found the divisors of 39, 70, 15 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 70, 15 is 1.
Therefore, GCD of numbers 39, 70, 15 is 1
Given Input Data is 39, 70, 15
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 39 is 3 x 13
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 15 is 3 x 5
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(39, 70) = 2730
GCD(39, 70) = ( 39 x 70 ) / 2730
GCD(39, 70) = 2730 / 2730
GCD(39, 70) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
GCD of 39, 70, 15 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 39, 70, 15?
GCD of 39, 70, 15 is 1
2. Where do I get the detailed procedure to find GCD of 39, 70, 15?
You can find a detailed procedure to find GCD of 39, 70, 15 on our page.
3. How to find GCD of 39, 70, 15 on a calculator?
You can find the GCD of 39, 70, 15 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.