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 688, 396, 75, 378 i.e. 1 largest integer that divides all the numbers equally.
GCD of 688, 396, 75, 378 is 1
GCD(688, 396, 75, 378) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 688, 396, 75, 378 is 1
GCD(688, 396, 75, 378) = 1
Given Input numbers are 688, 396, 75, 378
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Greatest Common Divisior
We found the divisors of 688, 396, 75, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 396, 75, 378 is 1.
Therefore, GCD of numbers 688, 396, 75, 378 is 1
Given Input Data is 688, 396, 75, 378
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
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(688, 396) = 68112
GCD(688, 396) = ( 688 x 396 ) / 68112
GCD(688, 396) = 272448 / 68112
GCD(688, 396) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 75) = 300
GCD(4, 75) = ( 4 x 75 ) / 300
GCD(4, 75) = 300 / 300
GCD(4, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 378
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
GCD(1, 378) = 378 / 378
GCD(1, 378) = 1
GCD of 688, 396, 75, 378 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 688, 396, 75, 378?
GCD of 688, 396, 75, 378 is 1
2. Where do I get the detailed procedure to find GCD of 688, 396, 75, 378?
You can find a detailed procedure to find GCD of 688, 396, 75, 378 on our page.
3. How to find GCD of 688, 396, 75, 378 on a calculator?
You can find the GCD of 688, 396, 75, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.