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, 404, 278, 274 i.e. 2 largest integer that divides all the numbers equally.
GCD of 492, 404, 278, 274 is 2
GCD(492, 404, 278, 274) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 492, 404, 278, 274 is 2
GCD(492, 404, 278, 274) = 2
Given Input numbers are 492, 404, 278, 274
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 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Greatest Common Divisior
We found the divisors of 492, 404, 278, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 404, 278, 274 is 2.
Therefore, GCD of numbers 492, 404, 278, 274 is 2
Given Input Data is 492, 404, 278, 274
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 404 is 2 x 2 x 101
Prime Factorization of 278 is 2 x 139
Prime Factorization of 274 is 2 x 137
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 404) = 49692
GCD(492, 404) = ( 492 x 404 ) / 49692
GCD(492, 404) = 198768 / 49692
GCD(492, 404) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 278
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 278) = 556
GCD(4, 278) = ( 4 x 278 ) / 556
GCD(4, 278) = 1112 / 556
GCD(4, 278) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 274
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 274) = 274
GCD(2, 274) = ( 2 x 274 ) / 274
GCD(2, 274) = 548 / 274
GCD(2, 274) = 2
GCD of 492, 404, 278, 274 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 492, 404, 278, 274?
GCD of 492, 404, 278, 274 is 2
2. Where do I get the detailed procedure to find GCD of 492, 404, 278, 274?
You can find a detailed procedure to find GCD of 492, 404, 278, 274 on our page.
3. How to find GCD of 492, 404, 278, 274 on a calculator?
You can find the GCD of 492, 404, 278, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.