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, 970, 191, 692 i.e. 1 largest integer that divides all the numbers equally.
GCD of 18, 970, 191, 692 is 1
GCD(18, 970, 191, 692) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 970, 191, 692 is 1
GCD(18, 970, 191, 692) = 1
Given Input numbers are 18, 970, 191, 692
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 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 191
List of positive integer divisors of 191 that divides 191 without a remainder.
1, 191
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Greatest Common Divisior
We found the divisors of 18, 970, 191, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 970, 191, 692 is 1.
Therefore, GCD of numbers 18, 970, 191, 692 is 1
Given Input Data is 18, 970, 191, 692
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 970 is 2 x 5 x 97
Prime Factorization of 191 is 191
Prime Factorization of 692 is 2 x 2 x 173
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, 970) = 8730
GCD(18, 970) = ( 18 x 970 ) / 8730
GCD(18, 970) = 17460 / 8730
GCD(18, 970) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 191
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 191) = 382
GCD(2, 191) = ( 2 x 191 ) / 382
GCD(2, 191) = 382 / 382
GCD(2, 191) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 692
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
GCD(1, 692) = 692 / 692
GCD(1, 692) = 1
GCD of 18, 970, 191, 692 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 18, 970, 191, 692?
GCD of 18, 970, 191, 692 is 1
2. Where do I get the detailed procedure to find GCD of 18, 970, 191, 692?
You can find a detailed procedure to find GCD of 18, 970, 191, 692 on our page.
3. How to find GCD of 18, 970, 191, 692 on a calculator?
You can find the GCD of 18, 970, 191, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.