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 412, 303, 221, 532 i.e. 1 largest integer that divides all the numbers equally.
GCD of 412, 303, 221, 532 is 1
GCD(412, 303, 221, 532) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 412, 303, 221, 532 is 1
GCD(412, 303, 221, 532) = 1
Given Input numbers are 412, 303, 221, 532
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Greatest Common Divisior
We found the divisors of 412, 303, 221, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 303, 221, 532 is 1.
Therefore, GCD of numbers 412, 303, 221, 532 is 1
Given Input Data is 412, 303, 221, 532
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 303 is 3 x 101
Prime Factorization of 221 is 13 x 17
Prime Factorization of 532 is 2 x 2 x 7 x 19
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(412, 303) = 124836
GCD(412, 303) = ( 412 x 303 ) / 124836
GCD(412, 303) = 124836 / 124836
GCD(412, 303) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
GCD(1, 221) = 221 / 221
GCD(1, 221) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 532
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 532) = 532
GCD(1, 532) = ( 1 x 532 ) / 532
GCD(1, 532) = 532 / 532
GCD(1, 532) = 1
GCD of 412, 303, 221, 532 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 412, 303, 221, 532?
GCD of 412, 303, 221, 532 is 1
2. Where do I get the detailed procedure to find GCD of 412, 303, 221, 532?
You can find a detailed procedure to find GCD of 412, 303, 221, 532 on our page.
3. How to find GCD of 412, 303, 221, 532 on a calculator?
You can find the GCD of 412, 303, 221, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.