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 18, 942, 130, 671 i.e. 1 largest integer that divides all the numbers equally.
GCD of 18, 942, 130, 671 is 1
GCD(18, 942, 130, 671) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 942, 130, 671 is 1
GCD(18, 942, 130, 671) = 1
Given Input numbers are 18, 942, 130, 671
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Greatest Common Divisior
We found the divisors of 18, 942, 130, 671 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 942, 130, 671 is 1.
Therefore, GCD of numbers 18, 942, 130, 671 is 1
Given Input Data is 18, 942, 130, 671
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 671 is 11 x 61
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(18, 942) = 2826
GCD(18, 942) = ( 18 x 942 ) / 2826
GCD(18, 942) = 16956 / 2826
GCD(18, 942) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 130
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 130) = 390
GCD(6, 130) = ( 6 x 130 ) / 390
GCD(6, 130) = 780 / 390
GCD(6, 130) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 671
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 671) = 1342
GCD(2, 671) = ( 2 x 671 ) / 1342
GCD(2, 671) = 1342 / 1342
GCD(2, 671) = 1
GCD of 18, 942, 130, 671 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 18, 942, 130, 671?
GCD of 18, 942, 130, 671 is 1
2. Where do I get the detailed procedure to find GCD of 18, 942, 130, 671?
You can find a detailed procedure to find GCD of 18, 942, 130, 671 on our page.
3. How to find GCD of 18, 942, 130, 671 on a calculator?
You can find the GCD of 18, 942, 130, 671 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.