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 294, 235, 852, 396 i.e. 1 largest integer that divides all the numbers equally.
GCD of 294, 235, 852, 396 is 1
GCD(294, 235, 852, 396) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 294, 235, 852, 396 is 1
GCD(294, 235, 852, 396) = 1
Given Input numbers are 294, 235, 852, 396
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
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
Greatest Common Divisior
We found the divisors of 294, 235, 852, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 235, 852, 396 is 1.
Therefore, GCD of numbers 294, 235, 852, 396 is 1
Given Input Data is 294, 235, 852, 396
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 235 is 5 x 47
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
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(294, 235) = 69090
GCD(294, 235) = ( 294 x 235 ) / 69090
GCD(294, 235) = 69090 / 69090
GCD(294, 235) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 852) = 852
GCD(1, 852) = ( 1 x 852 ) / 852
GCD(1, 852) = 852 / 852
GCD(1, 852) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
GCD(1, 396) = 396 / 396
GCD(1, 396) = 1
GCD of 294, 235, 852, 396 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 294, 235, 852, 396?
GCD of 294, 235, 852, 396 is 1
2. Where do I get the detailed procedure to find GCD of 294, 235, 852, 396?
You can find a detailed procedure to find GCD of 294, 235, 852, 396 on our page.
3. How to find GCD of 294, 235, 852, 396 on a calculator?
You can find the GCD of 294, 235, 852, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.