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, 897, 306, 336 i.e. 3 largest integer that divides all the numbers equally.
GCD of 102, 897, 306, 336 is 3
GCD(102, 897, 306, 336) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 102, 897, 306, 336 is 3
GCD(102, 897, 306, 336) = 3
Given Input numbers are 102, 897, 306, 336
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 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Greatest Common Divisior
We found the divisors of 102, 897, 306, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 897, 306, 336 is 3.
Therefore, GCD of numbers 102, 897, 306, 336 is 3
Given Input Data is 102, 897, 306, 336
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 897 is 3 x 13 x 23
Prime Factorization of 306 is 2 x 3 x 3 x 17
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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, 897) = 30498
GCD(102, 897) = ( 102 x 897 ) / 30498
GCD(102, 897) = 91494 / 30498
GCD(102, 897) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 306
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 306) = 306
GCD(3, 306) = ( 3 x 306 ) / 306
GCD(3, 306) = 918 / 306
GCD(3, 306) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 336
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 336) = 336
GCD(3, 336) = ( 3 x 336 ) / 336
GCD(3, 336) = 1008 / 336
GCD(3, 336) = 3
GCD of 102, 897, 306, 336 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 102, 897, 306, 336?
GCD of 102, 897, 306, 336 is 3
2. Where do I get the detailed procedure to find GCD of 102, 897, 306, 336?
You can find a detailed procedure to find GCD of 102, 897, 306, 336 on our page.
3. How to find GCD of 102, 897, 306, 336 on a calculator?
You can find the GCD of 102, 897, 306, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.