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 490, 168, 27, 472 i.e. 1 largest integer that divides all the numbers equally.
GCD of 490, 168, 27, 472 is 1
GCD(490, 168, 27, 472) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 490, 168, 27, 472 is 1
GCD(490, 168, 27, 472) = 1
Given Input numbers are 490, 168, 27, 472
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Greatest Common Divisior
We found the divisors of 490, 168, 27, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 168, 27, 472 is 1.
Therefore, GCD of numbers 490, 168, 27, 472 is 1
Given Input Data is 490, 168, 27, 472
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 472 is 2 x 2 x 2 x 59
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(490, 168) = 5880
GCD(490, 168) = ( 490 x 168 ) / 5880
GCD(490, 168) = 82320 / 5880
GCD(490, 168) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 27) = 378
GCD(14, 27) = ( 14 x 27 ) / 378
GCD(14, 27) = 378 / 378
GCD(14, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 472
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 472) = 472
GCD(1, 472) = ( 1 x 472 ) / 472
GCD(1, 472) = 472 / 472
GCD(1, 472) = 1
GCD of 490, 168, 27, 472 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 490, 168, 27, 472?
GCD of 490, 168, 27, 472 is 1
2. Where do I get the detailed procedure to find GCD of 490, 168, 27, 472?
You can find a detailed procedure to find GCD of 490, 168, 27, 472 on our page.
3. How to find GCD of 490, 168, 27, 472 on a calculator?
You can find the GCD of 490, 168, 27, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.