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 465, 426, 501, 230 i.e. 1 largest integer that divides all the numbers equally.
GCD of 465, 426, 501, 230 is 1
GCD(465, 426, 501, 230) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 465, 426, 501, 230 is 1
GCD(465, 426, 501, 230) = 1
Given Input numbers are 465, 426, 501, 230
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Greatest Common Divisior
We found the divisors of 465, 426, 501, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 426, 501, 230 is 1.
Therefore, GCD of numbers 465, 426, 501, 230 is 1
Given Input Data is 465, 426, 501, 230
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 501 is 3 x 167
Prime Factorization of 230 is 2 x 5 x 23
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(465, 426) = 66030
GCD(465, 426) = ( 465 x 426 ) / 66030
GCD(465, 426) = 198090 / 66030
GCD(465, 426) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 501
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 501) = 501
GCD(3, 501) = ( 3 x 501 ) / 501
GCD(3, 501) = 1503 / 501
GCD(3, 501) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 230
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 230) = 690
GCD(3, 230) = ( 3 x 230 ) / 690
GCD(3, 230) = 690 / 690
GCD(3, 230) = 1
GCD of 465, 426, 501, 230 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 465, 426, 501, 230?
GCD of 465, 426, 501, 230 is 1
2. Where do I get the detailed procedure to find GCD of 465, 426, 501, 230?
You can find a detailed procedure to find GCD of 465, 426, 501, 230 on our page.
3. How to find GCD of 465, 426, 501, 230 on a calculator?
You can find the GCD of 465, 426, 501, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.