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 134, 298, 16, 495 i.e. 1 largest integer that divides all the numbers equally.
GCD of 134, 298, 16, 495 is 1
GCD(134, 298, 16, 495) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 134, 298, 16, 495 is 1
GCD(134, 298, 16, 495) = 1
Given Input numbers are 134, 298, 16, 495
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Greatest Common Divisior
We found the divisors of 134, 298, 16, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 298, 16, 495 is 1.
Therefore, GCD of numbers 134, 298, 16, 495 is 1
Given Input Data is 134, 298, 16, 495
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 134 is 2 x 67
Prime Factorization of 298 is 2 x 149
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 495 is 3 x 3 x 5 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(134, 298) = 19966
GCD(134, 298) = ( 134 x 298 ) / 19966
GCD(134, 298) = 39932 / 19966
GCD(134, 298) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 16) = 16
GCD(2, 16) = ( 2 x 16 ) / 16
GCD(2, 16) = 32 / 16
GCD(2, 16) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 495) = 990
GCD(2, 495) = ( 2 x 495 ) / 990
GCD(2, 495) = 990 / 990
GCD(2, 495) = 1
GCD of 134, 298, 16, 495 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 134, 298, 16, 495?
GCD of 134, 298, 16, 495 is 1
2. Where do I get the detailed procedure to find GCD of 134, 298, 16, 495?
You can find a detailed procedure to find GCD of 134, 298, 16, 495 on our page.
3. How to find GCD of 134, 298, 16, 495 on a calculator?
You can find the GCD of 134, 298, 16, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.