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 352, 812, 21, 772 i.e. 1 largest integer that divides all the numbers equally.
GCD of 352, 812, 21, 772 is 1
GCD(352, 812, 21, 772) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 352, 812, 21, 772 is 1
GCD(352, 812, 21, 772) = 1
Given Input numbers are 352, 812, 21, 772
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Greatest Common Divisior
We found the divisors of 352, 812, 21, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 812, 21, 772 is 1.
Therefore, GCD of numbers 352, 812, 21, 772 is 1
Given Input Data is 352, 812, 21, 772
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 21 is 3 x 7
Prime Factorization of 772 is 2 x 2 x 193
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(352, 812) = 71456
GCD(352, 812) = ( 352 x 812 ) / 71456
GCD(352, 812) = 285824 / 71456
GCD(352, 812) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 21) = 84
GCD(4, 21) = ( 4 x 21 ) / 84
GCD(4, 21) = 84 / 84
GCD(4, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
GCD(1, 772) = 772 / 772
GCD(1, 772) = 1
GCD of 352, 812, 21, 772 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 352, 812, 21, 772?
GCD of 352, 812, 21, 772 is 1
2. Where do I get the detailed procedure to find GCD of 352, 812, 21, 772?
You can find a detailed procedure to find GCD of 352, 812, 21, 772 on our page.
3. How to find GCD of 352, 812, 21, 772 on a calculator?
You can find the GCD of 352, 812, 21, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.