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 32, 528, 946, 163 i.e. 1 largest integer that divides all the numbers equally.
GCD of 32, 528, 946, 163 is 1
GCD(32, 528, 946, 163) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 32, 528, 946, 163 is 1
GCD(32, 528, 946, 163) = 1
Given Input numbers are 32, 528, 946, 163
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Greatest Common Divisior
We found the divisors of 32, 528, 946, 163 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 528, 946, 163 is 1.
Therefore, GCD of numbers 32, 528, 946, 163 is 1
Given Input Data is 32, 528, 946, 163
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 946 is 2 x 11 x 43
Prime Factorization of 163 is 163
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(32, 528) = 1056
GCD(32, 528) = ( 32 x 528 ) / 1056
GCD(32, 528) = 16896 / 1056
GCD(32, 528) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 946) = 7568
GCD(16, 946) = ( 16 x 946 ) / 7568
GCD(16, 946) = 15136 / 7568
GCD(16, 946) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 163
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 163) = 326
GCD(2, 163) = ( 2 x 163 ) / 326
GCD(2, 163) = 326 / 326
GCD(2, 163) = 1
GCD of 32, 528, 946, 163 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 32, 528, 946, 163?
GCD of 32, 528, 946, 163 is 1
2. Where do I get the detailed procedure to find GCD of 32, 528, 946, 163?
You can find a detailed procedure to find GCD of 32, 528, 946, 163 on our page.
3. How to find GCD of 32, 528, 946, 163 on a calculator?
You can find the GCD of 32, 528, 946, 163 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.