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 639, 936, 75, 346 i.e. 1 largest integer that divides all the numbers equally.
GCD of 639, 936, 75, 346 is 1
GCD(639, 936, 75, 346) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 639, 936, 75, 346 is 1
GCD(639, 936, 75, 346) = 1
Given Input numbers are 639, 936, 75, 346
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 639
List of positive integer divisors of 639 that divides 639 without a remainder.
1, 3, 9, 71, 213, 639
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Greatest Common Divisior
We found the divisors of 639, 936, 75, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 639, 936, 75, 346 is 1.
Therefore, GCD of numbers 639, 936, 75, 346 is 1
Given Input Data is 639, 936, 75, 346
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 639 is 3 x 3 x 71
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 346 is 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(639, 936) = 66456
GCD(639, 936) = ( 639 x 936 ) / 66456
GCD(639, 936) = 598104 / 66456
GCD(639, 936) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 75) = 225
GCD(9, 75) = ( 9 x 75 ) / 225
GCD(9, 75) = 675 / 225
GCD(9, 75) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 346) = 1038
GCD(3, 346) = ( 3 x 346 ) / 1038
GCD(3, 346) = 1038 / 1038
GCD(3, 346) = 1
GCD of 639, 936, 75, 346 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 639, 936, 75, 346?
GCD of 639, 936, 75, 346 is 1
2. Where do I get the detailed procedure to find GCD of 639, 936, 75, 346?
You can find a detailed procedure to find GCD of 639, 936, 75, 346 on our page.
3. How to find GCD of 639, 936, 75, 346 on a calculator?
You can find the GCD of 639, 936, 75, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.