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 492, 294, 65, 836 i.e. 1 largest integer that divides all the numbers equally.
GCD of 492, 294, 65, 836 is 1
GCD(492, 294, 65, 836) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 492, 294, 65, 836 is 1
GCD(492, 294, 65, 836) = 1
Given Input numbers are 492, 294, 65, 836
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
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 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Greatest Common Divisior
We found the divisors of 492, 294, 65, 836 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 294, 65, 836 is 1.
Therefore, GCD of numbers 492, 294, 65, 836 is 1
Given Input Data is 492, 294, 65, 836
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 492 is 2 x 2 x 3 x 41
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 65 is 5 x 13
Prime Factorization of 836 is 2 x 2 x 11 x 19
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(492, 294) = 24108
GCD(492, 294) = ( 492 x 294 ) / 24108
GCD(492, 294) = 144648 / 24108
GCD(492, 294) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 65) = 390
GCD(6, 65) = ( 6 x 65 ) / 390
GCD(6, 65) = 390 / 390
GCD(6, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 836
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 836) = 836
GCD(1, 836) = ( 1 x 836 ) / 836
GCD(1, 836) = 836 / 836
GCD(1, 836) = 1
GCD of 492, 294, 65, 836 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 492, 294, 65, 836?
GCD of 492, 294, 65, 836 is 1
2. Where do I get the detailed procedure to find GCD of 492, 294, 65, 836?
You can find a detailed procedure to find GCD of 492, 294, 65, 836 on our page.
3. How to find GCD of 492, 294, 65, 836 on a calculator?
You can find the GCD of 492, 294, 65, 836 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.