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 369, 186, 921, 658 i.e. 1 largest integer that divides all the numbers equally.
GCD of 369, 186, 921, 658 is 1
GCD(369, 186, 921, 658) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 369, 186, 921, 658 is 1
GCD(369, 186, 921, 658) = 1
Given Input numbers are 369, 186, 921, 658
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 186
List of positive integer divisors of 186 that divides 186 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Greatest Common Divisior
We found the divisors of 369, 186, 921, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 186, 921, 658 is 1.
Therefore, GCD of numbers 369, 186, 921, 658 is 1
Given Input Data is 369, 186, 921, 658
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 186 is 2 x 3 x 31
Prime Factorization of 921 is 3 x 307
Prime Factorization of 658 is 2 x 7 x 47
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(369, 186) = 22878
GCD(369, 186) = ( 369 x 186 ) / 22878
GCD(369, 186) = 68634 / 22878
GCD(369, 186) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 921
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 921) = 921
GCD(3, 921) = ( 3 x 921 ) / 921
GCD(3, 921) = 2763 / 921
GCD(3, 921) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 658
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 658) = 1974
GCD(3, 658) = ( 3 x 658 ) / 1974
GCD(3, 658) = 1974 / 1974
GCD(3, 658) = 1
GCD of 369, 186, 921, 658 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 369, 186, 921, 658?
GCD of 369, 186, 921, 658 is 1
2. Where do I get the detailed procedure to find GCD of 369, 186, 921, 658?
You can find a detailed procedure to find GCD of 369, 186, 921, 658 on our page.
3. How to find GCD of 369, 186, 921, 658 on a calculator?
You can find the GCD of 369, 186, 921, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.