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 386, 193, 15, 870 i.e. 1 largest integer that divides all the numbers equally.
GCD of 386, 193, 15, 870 is 1
GCD(386, 193, 15, 870) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 386, 193, 15, 870 is 1
GCD(386, 193, 15, 870) = 1
Given Input numbers are 386, 193, 15, 870
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Divisors of 193
List of positive integer divisors of 193 that divides 193 without a remainder.
1, 193
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
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
Greatest Common Divisior
We found the divisors of 386, 193, 15, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 386, 193, 15, 870 is 1.
Therefore, GCD of numbers 386, 193, 15, 870 is 1
Given Input Data is 386, 193, 15, 870
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 386 is 2 x 193
Prime Factorization of 193 is 193
Prime Factorization of 15 is 3 x 5
Prime Factorization of 870 is 2 x 3 x 5 x 29
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(386, 193) = 386
GCD(386, 193) = ( 386 x 193 ) / 386
GCD(386, 193) = 74498 / 386
GCD(386, 193) = 193
Step2:
Here we consider the GCD from the above i.e. 193 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(193, 15) = 2895
GCD(193, 15) = ( 193 x 15 ) / 2895
GCD(193, 15) = 2895 / 2895
GCD(193, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 870
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 870) = 870
GCD(1, 870) = ( 1 x 870 ) / 870
GCD(1, 870) = 870 / 870
GCD(1, 870) = 1
GCD of 386, 193, 15, 870 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 386, 193, 15, 870?
GCD of 386, 193, 15, 870 is 1
2. Where do I get the detailed procedure to find GCD of 386, 193, 15, 870?
You can find a detailed procedure to find GCD of 386, 193, 15, 870 on our page.
3. How to find GCD of 386, 193, 15, 870 on a calculator?
You can find the GCD of 386, 193, 15, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.