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 400, 878, 336, 555 i.e. 1 largest integer that divides all the numbers equally.
GCD of 400, 878, 336, 555 is 1
GCD(400, 878, 336, 555) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 400, 878, 336, 555 is 1
GCD(400, 878, 336, 555) = 1
Given Input numbers are 400, 878, 336, 555
To find the GCD of numbers using factoring list out all the divisors of each number
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 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Greatest Common Divisior
We found the divisors of 400, 878, 336, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 878, 336, 555 is 1.
Therefore, GCD of numbers 400, 878, 336, 555 is 1
Given Input Data is 400, 878, 336, 555
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 878 is 2 x 439
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 555 is 3 x 5 x 37
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(400, 878) = 175600
GCD(400, 878) = ( 400 x 878 ) / 175600
GCD(400, 878) = 351200 / 175600
GCD(400, 878) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 336
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 336) = 336
GCD(2, 336) = ( 2 x 336 ) / 336
GCD(2, 336) = 672 / 336
GCD(2, 336) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 555
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 555) = 1110
GCD(2, 555) = ( 2 x 555 ) / 1110
GCD(2, 555) = 1110 / 1110
GCD(2, 555) = 1
GCD of 400, 878, 336, 555 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 400, 878, 336, 555?
GCD of 400, 878, 336, 555 is 1
2. Where do I get the detailed procedure to find GCD of 400, 878, 336, 555?
You can find a detailed procedure to find GCD of 400, 878, 336, 555 on our page.
3. How to find GCD of 400, 878, 336, 555 on a calculator?
You can find the GCD of 400, 878, 336, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.