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, 433, 502, 892 i.e. 1 largest integer that divides all the numbers equally.
GCD of 496, 433, 502, 892 is 1
GCD(496, 433, 502, 892) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 496, 433, 502, 892 is 1
GCD(496, 433, 502, 892) = 1
Given Input numbers are 496, 433, 502, 892
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 433
List of positive integer divisors of 433 that divides 433 without a remainder.
1, 433
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Greatest Common Divisior
We found the divisors of 496, 433, 502, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 433, 502, 892 is 1.
Therefore, GCD of numbers 496, 433, 502, 892 is 1
Given Input Data is 496, 433, 502, 892
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 433 is 433
Prime Factorization of 502 is 2 x 251
Prime Factorization of 892 is 2 x 2 x 223
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, 433) = 214768
GCD(496, 433) = ( 496 x 433 ) / 214768
GCD(496, 433) = 214768 / 214768
GCD(496, 433) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 502
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 502) = 502
GCD(1, 502) = ( 1 x 502 ) / 502
GCD(1, 502) = 502 / 502
GCD(1, 502) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 892
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 892) = 892
GCD(1, 892) = ( 1 x 892 ) / 892
GCD(1, 892) = 892 / 892
GCD(1, 892) = 1
GCD of 496, 433, 502, 892 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 496, 433, 502, 892?
GCD of 496, 433, 502, 892 is 1
2. Where do I get the detailed procedure to find GCD of 496, 433, 502, 892?
You can find a detailed procedure to find GCD of 496, 433, 502, 892 on our page.
3. How to find GCD of 496, 433, 502, 892 on a calculator?
You can find the GCD of 496, 433, 502, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.