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 430, 873, 650, 120 i.e. 1 largest integer that divides all the numbers equally.
GCD of 430, 873, 650, 120 is 1
GCD(430, 873, 650, 120) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 430, 873, 650, 120 is 1
GCD(430, 873, 650, 120) = 1
Given Input numbers are 430, 873, 650, 120
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Greatest Common Divisior
We found the divisors of 430, 873, 650, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 430, 873, 650, 120 is 1.
Therefore, GCD of numbers 430, 873, 650, 120 is 1
Given Input Data is 430, 873, 650, 120
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 430 is 2 x 5 x 43
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 650 is 2 x 5 x 5 x 13
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
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(430, 873) = 375390
GCD(430, 873) = ( 430 x 873 ) / 375390
GCD(430, 873) = 375390 / 375390
GCD(430, 873) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 650
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 650) = 650
GCD(1, 650) = ( 1 x 650 ) / 650
GCD(1, 650) = 650 / 650
GCD(1, 650) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 120
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
GCD(1, 120) = 120 / 120
GCD(1, 120) = 1
GCD of 430, 873, 650, 120 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 430, 873, 650, 120?
GCD of 430, 873, 650, 120 is 1
2. Where do I get the detailed procedure to find GCD of 430, 873, 650, 120?
You can find a detailed procedure to find GCD of 430, 873, 650, 120 on our page.
3. How to find GCD of 430, 873, 650, 120 on a calculator?
You can find the GCD of 430, 873, 650, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.