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 747, 387, 230, 465 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 387, 230, 465 is 1
GCD(747, 387, 230, 465) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 387, 230, 465 is 1
GCD(747, 387, 230, 465) = 1
Given Input numbers are 747, 387, 230, 465
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Greatest Common Divisior
We found the divisors of 747, 387, 230, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 387, 230, 465 is 1.
Therefore, GCD of numbers 747, 387, 230, 465 is 1
Given Input Data is 747, 387, 230, 465
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 230 is 2 x 5 x 23
Prime Factorization of 465 is 3 x 5 x 31
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(747, 387) = 32121
GCD(747, 387) = ( 747 x 387 ) / 32121
GCD(747, 387) = 289089 / 32121
GCD(747, 387) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 230
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 230) = 2070
GCD(9, 230) = ( 9 x 230 ) / 2070
GCD(9, 230) = 2070 / 2070
GCD(9, 230) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 465
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 465) = 465
GCD(1, 465) = ( 1 x 465 ) / 465
GCD(1, 465) = 465 / 465
GCD(1, 465) = 1
GCD of 747, 387, 230, 465 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 387, 230, 465?
GCD of 747, 387, 230, 465 is 1
2. Where do I get the detailed procedure to find GCD of 747, 387, 230, 465?
You can find a detailed procedure to find GCD of 747, 387, 230, 465 on our page.
3. How to find GCD of 747, 387, 230, 465 on a calculator?
You can find the GCD of 747, 387, 230, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.