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 476, 870, 39 i.e. 1 largest integer that divides all the numbers equally.
GCD of 476, 870, 39 is 1
GCD(476, 870, 39) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 476, 870, 39 is 1
GCD(476, 870, 39) = 1
Given Input numbers are 476, 870, 39
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 870
List of positive integer divisors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Greatest Common Divisior
We found the divisors of 476, 870, 39 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 870, 39 is 1.
Therefore, GCD of numbers 476, 870, 39 is 1
Given Input Data is 476, 870, 39
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 476 is 2 x 2 x 7 x 17
Prime Factorization of 870 is 2 x 3 x 5 x 29
Prime Factorization of 39 is 3 x 13
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(476, 870) = 207060
GCD(476, 870) = ( 476 x 870 ) / 207060
GCD(476, 870) = 414120 / 207060
GCD(476, 870) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 39) = 78
GCD(2, 39) = ( 2 x 39 ) / 78
GCD(2, 39) = 78 / 78
GCD(2, 39) = 1
GCD of 476, 870, 39 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 476, 870, 39?
GCD of 476, 870, 39 is 1
2. Where do I get the detailed procedure to find GCD of 476, 870, 39?
You can find a detailed procedure to find GCD of 476, 870, 39 on our page.
3. How to find GCD of 476, 870, 39 on a calculator?
You can find the GCD of 476, 870, 39 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.