Online GCD Calculator is useful to find the GCD of 482, 284, 800, 196 quickly. Get the easiest ways to solve the greatest common divisor of 482, 284, 800, 196 i.e 2 in different methods as follows.
Given Input numbers are 482, 284, 800, 196
In the factoring method, we have to find the divisors of all numbers
Divisors of 482 :
The positive integer divisors of 482 that completely divides 482 are.
1, 2, 241, 482
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
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 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
GCD of numbers is the greatest common divisor
So, the GCD (482, 284, 800, 196) = 2.
Given numbers are 482, 284, 800, 196
The list of prime factors of all numbers are
Prime factors of 482 are 2 x 241
Prime factors of 284 are 2 x 2 x 71
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 196 are 2 x 2 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 482, 284, 800, 196 is 2.
Given numbers are 482, 284, 800, 196
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(482, 284) = 68444
GCD(482, 284) = ( 482 x 284 ) / 68444
= 482 / 284
= 482
Step2:
LCM(2, 800) = 800
GCD(2, 800) = ( 2 x 800 ) / 800
= 2 / 800
= 2
Step3:
LCM(2, 196) = 196
GCD(2, 196) = ( 2 x 196 ) / 196
= 2 / 196
= 2
So, Greatest Common Divisor of 482, 284, 800, 196 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 482, 284, 800, 196
The greatest common divisor of numbers 482, 284, 800, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 482, 284, 800, 196 is 2.
1. What is the GCD of 482, 284, 800, 196?
GCD of given numbers 482, 284, 800, 196 is 2
2. How to calculate the greatest common divisor of 482, 284, 800, 196?
We can find the highest common divisor of 482, 284, 800, 196 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 482, 284, 800, 196 i.e 2.
3. How can I use the GCD of 482, 284, 800, 196Calculator?
Out the numbers 482, 284, 800, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.