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, 305, 73, 402 i.e. 1 largest integer that divides all the numbers equally.
GCD of 102, 305, 73, 402 is 1
GCD(102, 305, 73, 402) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 102, 305, 73, 402 is 1
GCD(102, 305, 73, 402) = 1
Given Input numbers are 102, 305, 73, 402
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 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Greatest Common Divisior
We found the divisors of 102, 305, 73, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 305, 73, 402 is 1.
Therefore, GCD of numbers 102, 305, 73, 402 is 1
Given Input Data is 102, 305, 73, 402
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 305 is 5 x 61
Prime Factorization of 73 is 73
Prime Factorization of 402 is 2 x 3 x 67
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, 305) = 31110
GCD(102, 305) = ( 102 x 305 ) / 31110
GCD(102, 305) = 31110 / 31110
GCD(102, 305) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 73) = 73
GCD(1, 73) = ( 1 x 73 ) / 73
GCD(1, 73) = 73 / 73
GCD(1, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 402) = 402
GCD(1, 402) = ( 1 x 402 ) / 402
GCD(1, 402) = 402 / 402
GCD(1, 402) = 1
GCD of 102, 305, 73, 402 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 102, 305, 73, 402?
GCD of 102, 305, 73, 402 is 1
2. Where do I get the detailed procedure to find GCD of 102, 305, 73, 402?
You can find a detailed procedure to find GCD of 102, 305, 73, 402 on our page.
3. How to find GCD of 102, 305, 73, 402 on a calculator?
You can find the GCD of 102, 305, 73, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.