Online GCD Calculator is useful to find the GCD of 800, 594, 400, 825 quickly. Get the easiest ways to solve the greatest common divisor of 800, 594, 400, 825 i.e 1 in different methods as follows.
Given Input numbers are 800, 594, 400, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 594 :
The positive integer divisors of 594 that completely divides 594 are.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
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 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (800, 594, 400, 825) = 1.
Given numbers are 800, 594, 400, 825
The list of prime factors of all numbers are
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 594 are 2 x 3 x 3 x 3 x 11
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 825 are 3 x 5 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 800, 594, 400, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 594) = 237600
GCD(800, 594) = ( 800 x 594 ) / 237600
= 800 / 594
= 800
Step2:
LCM(2, 400) = 400
GCD(2, 400) = ( 2 x 400 ) / 400
= 2 / 400
= 2
Step3:
LCM(2, 825) = 1650
GCD(2, 825) = ( 2 x 825 ) / 1650
= 2 / 825
= 2
So, Greatest Common Divisor of 800, 594, 400, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 594, 400, 825
The greatest common divisor of numbers 800, 594, 400, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 594, 400, 825 is 1.
1. What is the GCD of 800, 594, 400, 825?
GCD of given numbers 800, 594, 400, 825 is 1
2. How to calculate the greatest common divisor of 800, 594, 400, 825?
We can find the highest common divisor of 800, 594, 400, 825 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 800, 594, 400, 825 i.e 1.
3. How can I use the GCD of 800, 594, 400, 825Calculator?
Out the numbers 800, 594, 400, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.