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 496, 810, 47, 134 i.e. 1 largest integer that divides all the numbers equally.
GCD of 496, 810, 47, 134 is 1
GCD(496, 810, 47, 134) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 496, 810, 47, 134 is 1
GCD(496, 810, 47, 134) = 1
Given Input numbers are 496, 810, 47, 134
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Greatest Common Divisior
We found the divisors of 496, 810, 47, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 810, 47, 134 is 1.
Therefore, GCD of numbers 496, 810, 47, 134 is 1
Given Input Data is 496, 810, 47, 134
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 47 is 47
Prime Factorization of 134 is 2 x 67
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(496, 810) = 200880
GCD(496, 810) = ( 496 x 810 ) / 200880
GCD(496, 810) = 401760 / 200880
GCD(496, 810) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 47) = 94
GCD(2, 47) = ( 2 x 47 ) / 94
GCD(2, 47) = 94 / 94
GCD(2, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 134
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 134) = 134
GCD(1, 134) = ( 1 x 134 ) / 134
GCD(1, 134) = 134 / 134
GCD(1, 134) = 1
GCD of 496, 810, 47, 134 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 496, 810, 47, 134?
GCD of 496, 810, 47, 134 is 1
2. Where do I get the detailed procedure to find GCD of 496, 810, 47, 134?
You can find a detailed procedure to find GCD of 496, 810, 47, 134 on our page.
3. How to find GCD of 496, 810, 47, 134 on a calculator?
You can find the GCD of 496, 810, 47, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.