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, 185, 162, 976 i.e. 1 largest integer that divides all the numbers equally.
GCD of 536, 185, 162, 976 is 1
GCD(536, 185, 162, 976) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 536, 185, 162, 976 is 1
GCD(536, 185, 162, 976) = 1
Given Input numbers are 536, 185, 162, 976
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 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Greatest Common Divisior
We found the divisors of 536, 185, 162, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 185, 162, 976 is 1.
Therefore, GCD of numbers 536, 185, 162, 976 is 1
Given Input Data is 536, 185, 162, 976
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 185 is 5 x 37
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
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, 185) = 99160
GCD(536, 185) = ( 536 x 185 ) / 99160
GCD(536, 185) = 99160 / 99160
GCD(536, 185) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 162
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 162) = 162
GCD(1, 162) = ( 1 x 162 ) / 162
GCD(1, 162) = 162 / 162
GCD(1, 162) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 976
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 976) = 976
GCD(1, 976) = ( 1 x 976 ) / 976
GCD(1, 976) = 976 / 976
GCD(1, 976) = 1
GCD of 536, 185, 162, 976 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 536, 185, 162, 976?
GCD of 536, 185, 162, 976 is 1
2. Where do I get the detailed procedure to find GCD of 536, 185, 162, 976?
You can find a detailed procedure to find GCD of 536, 185, 162, 976 on our page.
3. How to find GCD of 536, 185, 162, 976 on a calculator?
You can find the GCD of 536, 185, 162, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.