GCD of 400, 822, 873 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 400, 822, 873 quickly. Get the easiest ways to solve the greatest common divisor of 400, 822, 873 i.e 1 in different methods as follows.
Given Input numbers are 400, 822, 873
In the factoring method, we have to find the divisors of all numbers
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 873 :
The positive integer divisors of 873 that completely divides 873 are.
1, 3, 9, 97, 291, 873
GCD of numbers is the greatest common divisor
So, the GCD (400, 822, 873) = 1.
Given numbers are 400, 822, 873
The list of prime factors of all numbers are
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 822 are 2 x 3 x 137
Prime factors of 873 are 3 x 3 x 97
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 400, 822, 873 using LCM Formula
Given numbers are 400, 822, 873
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 822) = 164400
GCD(400, 822) = ( 400 x 822 ) / 164400
= 400 / 822
= 400
Step2:
LCM(2, 873) = 1746
GCD(2, 873) = ( 2 x 873 ) / 1746
= 2 / 873
= 2
So, Greatest Common Divisor of 400, 822, 873 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 400, 822, 873
Given numbers are 400, 822, 873
The greatest common divisor of numbers 400, 822, 873 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 822, 873 is 1.
FAQs on GCD of 400, 822, 873 Calculator
1. What is the GCD of 400, 822, 873?
GCD of given numbers 400, 822, 873 is 1
2. How to calculate the greatest common divisor of 400, 822, 873?
We can find the highest common divisor of 400, 822, 873 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 400, 822, 873 i.e 1.
3. How can I use the GCD of 400, 822, 873Calculator?
Out the numbers 400, 822, 873 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.