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 821, 198, 10, 735 i.e. 1 largest integer that divides all the numbers equally.
GCD of 821, 198, 10, 735 is 1
GCD(821, 198, 10, 735) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 821, 198, 10, 735 is 1
GCD(821, 198, 10, 735) = 1
Given Input numbers are 821, 198, 10, 735
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Greatest Common Divisior
We found the divisors of 821, 198, 10, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 198, 10, 735 is 1.
Therefore, GCD of numbers 821, 198, 10, 735 is 1
Given Input Data is 821, 198, 10, 735
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 821 is 821
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 10 is 2 x 5
Prime Factorization of 735 is 3 x 5 x 7 x 7
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(821, 198) = 162558
GCD(821, 198) = ( 821 x 198 ) / 162558
GCD(821, 198) = 162558 / 162558
GCD(821, 198) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 735
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
GCD(1, 735) = 735 / 735
GCD(1, 735) = 1
GCD of 821, 198, 10, 735 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 821, 198, 10, 735?
GCD of 821, 198, 10, 735 is 1
2. Where do I get the detailed procedure to find GCD of 821, 198, 10, 735?
You can find a detailed procedure to find GCD of 821, 198, 10, 735 on our page.
3. How to find GCD of 821, 198, 10, 735 on a calculator?
You can find the GCD of 821, 198, 10, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.