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 494, 456, 398, 551 i.e. 1 largest integer that divides all the numbers equally.
GCD of 494, 456, 398, 551 is 1
GCD(494, 456, 398, 551) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 494, 456, 398, 551 is 1
GCD(494, 456, 398, 551) = 1
Given Input numbers are 494, 456, 398, 551
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Greatest Common Divisior
We found the divisors of 494, 456, 398, 551 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 456, 398, 551 is 1.
Therefore, GCD of numbers 494, 456, 398, 551 is 1
Given Input Data is 494, 456, 398, 551
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 398 is 2 x 199
Prime Factorization of 551 is 19 x 29
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(494, 456) = 5928
GCD(494, 456) = ( 494 x 456 ) / 5928
GCD(494, 456) = 225264 / 5928
GCD(494, 456) = 38
Step2:
Here we consider the GCD from the above i.e. 38 as first number and the next as 398
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(38, 398) = 7562
GCD(38, 398) = ( 38 x 398 ) / 7562
GCD(38, 398) = 15124 / 7562
GCD(38, 398) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 551
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 551) = 1102
GCD(2, 551) = ( 2 x 551 ) / 1102
GCD(2, 551) = 1102 / 1102
GCD(2, 551) = 1
GCD of 494, 456, 398, 551 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 494, 456, 398, 551?
GCD of 494, 456, 398, 551 is 1
2. Where do I get the detailed procedure to find GCD of 494, 456, 398, 551?
You can find a detailed procedure to find GCD of 494, 456, 398, 551 on our page.
3. How to find GCD of 494, 456, 398, 551 on a calculator?
You can find the GCD of 494, 456, 398, 551 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.