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 334, 940, 86, 389 i.e. 1 largest integer that divides all the numbers equally.
GCD of 334, 940, 86, 389 is 1
GCD(334, 940, 86, 389) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 334, 940, 86, 389 is 1
GCD(334, 940, 86, 389) = 1
Given Input numbers are 334, 940, 86, 389
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 389
List of positive integer divisors of 389 that divides 389 without a remainder.
1, 389
Greatest Common Divisior
We found the divisors of 334, 940, 86, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 940, 86, 389 is 1.
Therefore, GCD of numbers 334, 940, 86, 389 is 1
Given Input Data is 334, 940, 86, 389
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 334 is 2 x 167
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 86 is 2 x 43
Prime Factorization of 389 is 389
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(334, 940) = 156980
GCD(334, 940) = ( 334 x 940 ) / 156980
GCD(334, 940) = 313960 / 156980
GCD(334, 940) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 86) = 86
GCD(2, 86) = ( 2 x 86 ) / 86
GCD(2, 86) = 172 / 86
GCD(2, 86) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 389
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 389) = 778
GCD(2, 389) = ( 2 x 389 ) / 778
GCD(2, 389) = 778 / 778
GCD(2, 389) = 1
GCD of 334, 940, 86, 389 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 334, 940, 86, 389?
GCD of 334, 940, 86, 389 is 1
2. Where do I get the detailed procedure to find GCD of 334, 940, 86, 389?
You can find a detailed procedure to find GCD of 334, 940, 86, 389 on our page.
3. How to find GCD of 334, 940, 86, 389 on a calculator?
You can find the GCD of 334, 940, 86, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.