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 140, 235, 99, 500 i.e. 1 largest integer that divides all the numbers equally.
GCD of 140, 235, 99, 500 is 1
GCD(140, 235, 99, 500) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 140, 235, 99, 500 is 1
GCD(140, 235, 99, 500) = 1
Given Input numbers are 140, 235, 99, 500
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Greatest Common Divisior
We found the divisors of 140, 235, 99, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 235, 99, 500 is 1.
Therefore, GCD of numbers 140, 235, 99, 500 is 1
Given Input Data is 140, 235, 99, 500
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 235 is 5 x 47
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 500 is 2 x 2 x 5 x 5 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(140, 235) = 6580
GCD(140, 235) = ( 140 x 235 ) / 6580
GCD(140, 235) = 32900 / 6580
GCD(140, 235) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 99) = 495
GCD(5, 99) = ( 5 x 99 ) / 495
GCD(5, 99) = 495 / 495
GCD(5, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 500
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 500) = 500
GCD(1, 500) = ( 1 x 500 ) / 500
GCD(1, 500) = 500 / 500
GCD(1, 500) = 1
GCD of 140, 235, 99, 500 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 140, 235, 99, 500?
GCD of 140, 235, 99, 500 is 1
2. Where do I get the detailed procedure to find GCD of 140, 235, 99, 500?
You can find a detailed procedure to find GCD of 140, 235, 99, 500 on our page.
3. How to find GCD of 140, 235, 99, 500 on a calculator?
You can find the GCD of 140, 235, 99, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.