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 207, 495, 285, 380 i.e. 1 largest integer that divides all the numbers equally.
GCD of 207, 495, 285, 380 is 1
GCD(207, 495, 285, 380) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 207, 495, 285, 380 is 1
GCD(207, 495, 285, 380) = 1
Given Input numbers are 207, 495, 285, 380
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Greatest Common Divisior
We found the divisors of 207, 495, 285, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 495, 285, 380 is 1.
Therefore, GCD of numbers 207, 495, 285, 380 is 1
Given Input Data is 207, 495, 285, 380
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 380 is 2 x 2 x 5 x 19
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(207, 495) = 11385
GCD(207, 495) = ( 207 x 495 ) / 11385
GCD(207, 495) = 102465 / 11385
GCD(207, 495) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 285
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 285) = 855
GCD(9, 285) = ( 9 x 285 ) / 855
GCD(9, 285) = 2565 / 855
GCD(9, 285) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 380) = 1140
GCD(3, 380) = ( 3 x 380 ) / 1140
GCD(3, 380) = 1140 / 1140
GCD(3, 380) = 1
GCD of 207, 495, 285, 380 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 207, 495, 285, 380?
GCD of 207, 495, 285, 380 is 1
2. Where do I get the detailed procedure to find GCD of 207, 495, 285, 380?
You can find a detailed procedure to find GCD of 207, 495, 285, 380 on our page.
3. How to find GCD of 207, 495, 285, 380 on a calculator?
You can find the GCD of 207, 495, 285, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.