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, 435, 36, 882 i.e. 1 largest integer that divides all the numbers equally.
GCD of 496, 435, 36, 882 is 1
GCD(496, 435, 36, 882) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 496, 435, 36, 882 is 1
GCD(496, 435, 36, 882) = 1
Given Input numbers are 496, 435, 36, 882
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 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Greatest Common Divisior
We found the divisors of 496, 435, 36, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 435, 36, 882 is 1.
Therefore, GCD of numbers 496, 435, 36, 882 is 1
Given Input Data is 496, 435, 36, 882
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 435 is 3 x 5 x 29
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
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, 435) = 215760
GCD(496, 435) = ( 496 x 435 ) / 215760
GCD(496, 435) = 215760 / 215760
GCD(496, 435) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 882
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 882) = 882
GCD(1, 882) = ( 1 x 882 ) / 882
GCD(1, 882) = 882 / 882
GCD(1, 882) = 1
GCD of 496, 435, 36, 882 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 496, 435, 36, 882?
GCD of 496, 435, 36, 882 is 1
2. Where do I get the detailed procedure to find GCD of 496, 435, 36, 882?
You can find a detailed procedure to find GCD of 496, 435, 36, 882 on our page.
3. How to find GCD of 496, 435, 36, 882 on a calculator?
You can find the GCD of 496, 435, 36, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.