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 536, 504, 99, 982 i.e. 1 largest integer that divides all the numbers equally.
GCD of 536, 504, 99, 982 is 1
GCD(536, 504, 99, 982) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 536, 504, 99, 982 is 1
GCD(536, 504, 99, 982) = 1
Given Input numbers are 536, 504, 99, 982
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Greatest Common Divisior
We found the divisors of 536, 504, 99, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 504, 99, 982 is 1.
Therefore, GCD of numbers 536, 504, 99, 982 is 1
Given Input Data is 536, 504, 99, 982
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 536 is 2 x 2 x 2 x 67
Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 982 is 2 x 491
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(536, 504) = 33768
GCD(536, 504) = ( 536 x 504 ) / 33768
GCD(536, 504) = 270144 / 33768
GCD(536, 504) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 99) = 792
GCD(8, 99) = ( 8 x 99 ) / 792
GCD(8, 99) = 792 / 792
GCD(8, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 982
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 982) = 982
GCD(1, 982) = ( 1 x 982 ) / 982
GCD(1, 982) = 982 / 982
GCD(1, 982) = 1
GCD of 536, 504, 99, 982 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 536, 504, 99, 982?
GCD of 536, 504, 99, 982 is 1
2. Where do I get the detailed procedure to find GCD of 536, 504, 99, 982?
You can find a detailed procedure to find GCD of 536, 504, 99, 982 on our page.
3. How to find GCD of 536, 504, 99, 982 on a calculator?
You can find the GCD of 536, 504, 99, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.