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 168, 400, 39, 495 i.e. 1 largest integer that divides all the numbers equally.
GCD of 168, 400, 39, 495 is 1
GCD(168, 400, 39, 495) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 168, 400, 39, 495 is 1
GCD(168, 400, 39, 495) = 1
Given Input numbers are 168, 400, 39, 495
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
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
Greatest Common Divisior
We found the divisors of 168, 400, 39, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 400, 39, 495 is 1.
Therefore, GCD of numbers 168, 400, 39, 495 is 1
Given Input Data is 168, 400, 39, 495
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 39 is 3 x 13
Prime Factorization of 495 is 3 x 3 x 5 x 11
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(168, 400) = 8400
GCD(168, 400) = ( 168 x 400 ) / 8400
GCD(168, 400) = 67200 / 8400
GCD(168, 400) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 39) = 312
GCD(8, 39) = ( 8 x 39 ) / 312
GCD(8, 39) = 312 / 312
GCD(8, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 495) = 495
GCD(1, 495) = ( 1 x 495 ) / 495
GCD(1, 495) = 495 / 495
GCD(1, 495) = 1
GCD of 168, 400, 39, 495 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 168, 400, 39, 495?
GCD of 168, 400, 39, 495 is 1
2. Where do I get the detailed procedure to find GCD of 168, 400, 39, 495?
You can find a detailed procedure to find GCD of 168, 400, 39, 495 on our page.
3. How to find GCD of 168, 400, 39, 495 on a calculator?
You can find the GCD of 168, 400, 39, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.