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 102, 710, 852, 243 i.e. 1 largest integer that divides all the numbers equally.
GCD of 102, 710, 852, 243 is 1
GCD(102, 710, 852, 243) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 102, 710, 852, 243 is 1
GCD(102, 710, 852, 243) = 1
Given Input numbers are 102, 710, 852, 243
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Greatest Common Divisior
We found the divisors of 102, 710, 852, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 710, 852, 243 is 1.
Therefore, GCD of numbers 102, 710, 852, 243 is 1
Given Input Data is 102, 710, 852, 243
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 102 is 2 x 3 x 17
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
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(102, 710) = 36210
GCD(102, 710) = ( 102 x 710 ) / 36210
GCD(102, 710) = 72420 / 36210
GCD(102, 710) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 852) = 852
GCD(2, 852) = ( 2 x 852 ) / 852
GCD(2, 852) = 1704 / 852
GCD(2, 852) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 243) = 486
GCD(2, 243) = ( 2 x 243 ) / 486
GCD(2, 243) = 486 / 486
GCD(2, 243) = 1
GCD of 102, 710, 852, 243 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 102, 710, 852, 243?
GCD of 102, 710, 852, 243 is 1
2. Where do I get the detailed procedure to find GCD of 102, 710, 852, 243?
You can find a detailed procedure to find GCD of 102, 710, 852, 243 on our page.
3. How to find GCD of 102, 710, 852, 243 on a calculator?
You can find the GCD of 102, 710, 852, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.