Online GCD Calculator is useful to find the GCD of 800, 282, 482, 832 quickly. Get the easiest ways to solve the greatest common divisor of 800, 282, 482, 832 i.e 2 in different methods as follows.
Given Input numbers are 800, 282, 482, 832
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 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 482 :
The positive integer divisors of 482 that completely divides 482 are.
1, 2, 241, 482
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
GCD of numbers is the greatest common divisor
So, the GCD (800, 282, 482, 832) = 2.
Given numbers are 800, 282, 482, 832
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 282 are 2 x 3 x 47
Prime factors of 482 are 2 x 241
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
The highest common occurrence is 21
Therefore, GCD of 800, 282, 482, 832 is 2.
Given numbers are 800, 282, 482, 832
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 282) = 112800
GCD(800, 282) = ( 800 x 282 ) / 112800
= 800 / 282
= 800
Step2:
LCM(2, 482) = 482
GCD(2, 482) = ( 2 x 482 ) / 482
= 2 / 482
= 2
Step3:
LCM(2, 832) = 832
GCD(2, 832) = ( 2 x 832 ) / 832
= 2 / 832
= 2
So, Greatest Common Divisor of 800, 282, 482, 832 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 282, 482, 832
The greatest common divisor of numbers 800, 282, 482, 832 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 282, 482, 832 is 2.
1. What is the GCD of 800, 282, 482, 832?
GCD of given numbers 800, 282, 482, 832 is 2
2. How to calculate the greatest common divisor of 800, 282, 482, 832?
We can find the highest common divisor of 800, 282, 482, 832 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, 282, 482, 832 i.e 2.
3. How can I use the GCD of 800, 282, 482, 832Calculator?
Out the numbers 800, 282, 482, 832 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.