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 146, 142, 240, 873 i.e. 1 largest integer that divides all the numbers equally.
GCD of 146, 142, 240, 873 is 1
GCD(146, 142, 240, 873) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 146, 142, 240, 873 is 1
GCD(146, 142, 240, 873) = 1
Given Input numbers are 146, 142, 240, 873
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Greatest Common Divisior
We found the divisors of 146, 142, 240, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 142, 240, 873 is 1.
Therefore, GCD of numbers 146, 142, 240, 873 is 1
Given Input Data is 146, 142, 240, 873
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 146 is 2 x 73
Prime Factorization of 142 is 2 x 71
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 873 is 3 x 3 x 97
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(146, 142) = 10366
GCD(146, 142) = ( 146 x 142 ) / 10366
GCD(146, 142) = 20732 / 10366
GCD(146, 142) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 240) = 240
GCD(2, 240) = ( 2 x 240 ) / 240
GCD(2, 240) = 480 / 240
GCD(2, 240) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 873
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 873) = 1746
GCD(2, 873) = ( 2 x 873 ) / 1746
GCD(2, 873) = 1746 / 1746
GCD(2, 873) = 1
GCD of 146, 142, 240, 873 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 146, 142, 240, 873?
GCD of 146, 142, 240, 873 is 1
2. Where do I get the detailed procedure to find GCD of 146, 142, 240, 873?
You can find a detailed procedure to find GCD of 146, 142, 240, 873 on our page.
3. How to find GCD of 146, 142, 240, 873 on a calculator?
You can find the GCD of 146, 142, 240, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.