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 500, 375, 686, 195 i.e. 1 largest integer that divides all the numbers equally.
GCD of 500, 375, 686, 195 is 1
GCD(500, 375, 686, 195) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 500, 375, 686, 195 is 1
GCD(500, 375, 686, 195) = 1
Given Input numbers are 500, 375, 686, 195
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Greatest Common Divisior
We found the divisors of 500, 375, 686, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 375, 686, 195 is 1.
Therefore, GCD of numbers 500, 375, 686, 195 is 1
Given Input Data is 500, 375, 686, 195
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 375 is 3 x 5 x 5 x 5
Prime Factorization of 686 is 2 x 7 x 7 x 7
Prime Factorization of 195 is 3 x 5 x 13
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(500, 375) = 1500
GCD(500, 375) = ( 500 x 375 ) / 1500
GCD(500, 375) = 187500 / 1500
GCD(500, 375) = 125
Step2:
Here we consider the GCD from the above i.e. 125 as first number and the next as 686
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(125, 686) = 85750
GCD(125, 686) = ( 125 x 686 ) / 85750
GCD(125, 686) = 85750 / 85750
GCD(125, 686) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 195
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 195) = 195
GCD(1, 195) = ( 1 x 195 ) / 195
GCD(1, 195) = 195 / 195
GCD(1, 195) = 1
GCD of 500, 375, 686, 195 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 500, 375, 686, 195?
GCD of 500, 375, 686, 195 is 1
2. Where do I get the detailed procedure to find GCD of 500, 375, 686, 195?
You can find a detailed procedure to find GCD of 500, 375, 686, 195 on our page.
3. How to find GCD of 500, 375, 686, 195 on a calculator?
You can find the GCD of 500, 375, 686, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.