Online GCD Calculator is useful to find the GCD of 424, 800, 704, 825 quickly. Get the easiest ways to solve the greatest common divisor of 424, 800, 704, 825 i.e 1 in different methods as follows.
Given Input numbers are 424, 800, 704, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
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 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
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 (424, 800, 704, 825) = 1.
Given numbers are 424, 800, 704, 825
The list of prime factors of all numbers are
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
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 424, 800, 704, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(424, 800) = 42400
GCD(424, 800) = ( 424 x 800 ) / 42400
= 424 / 800
= 424
Step2:
LCM(8, 704) = 704
GCD(8, 704) = ( 8 x 704 ) / 704
= 8 / 704
= 8
Step3:
LCM(8, 825) = 6600
GCD(8, 825) = ( 8 x 825 ) / 6600
= 8 / 825
= 8
So, Greatest Common Divisor of 424, 800, 704, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 424, 800, 704, 825
The greatest common divisor of numbers 424, 800, 704, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 800, 704, 825 is 1.
1. What is the GCD of 424, 800, 704, 825?
GCD of given numbers 424, 800, 704, 825 is 1
2. How to calculate the greatest common divisor of 424, 800, 704, 825?
We can find the highest common divisor of 424, 800, 704, 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 424, 800, 704, 825 i.e 1.
3. How can I use the GCD of 424, 800, 704, 825Calculator?
Out the numbers 424, 800, 704, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.