Online GCD Calculator is useful to find the GCD of 200, 556, 492, 248 quickly. Get the easiest ways to solve the greatest common divisor of 200, 556, 492, 248 i.e 4 in different methods as follows.
Given Input numbers are 200, 556, 492, 248
In the factoring method, we have to find the divisors of all numbers
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 556 :
The positive integer divisors of 556 that completely divides 556 are.
1, 2, 4, 139, 278, 556
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 248 :
The positive integer divisors of 248 that completely divides 248 are.
1, 2, 4, 8, 31, 62, 124, 248
GCD of numbers is the greatest common divisor
So, the GCD (200, 556, 492, 248) = 4.
Given numbers are 200, 556, 492, 248
The list of prime factors of all numbers are
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 556 are 2 x 2 x 139
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 248 are 2 x 2 x 2 x 31
The highest common occurrence is 22
Therefore, GCD of 200, 556, 492, 248 is 4.
Given numbers are 200, 556, 492, 248
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 556) = 27800
GCD(200, 556) = ( 200 x 556 ) / 27800
= 200 / 556
= 200
Step2:
LCM(4, 492) = 492
GCD(4, 492) = ( 4 x 492 ) / 492
= 4 / 492
= 4
Step3:
LCM(4, 248) = 248
GCD(4, 248) = ( 4 x 248 ) / 248
= 4 / 248
= 4
So, Greatest Common Divisor of 200, 556, 492, 248 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 556, 492, 248
The greatest common divisor of numbers 200, 556, 492, 248 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 556, 492, 248 is 4.
1. What is the GCD of 200, 556, 492, 248?
GCD of given numbers 200, 556, 492, 248 is 4
2. How to calculate the greatest common divisor of 200, 556, 492, 248?
We can find the highest common divisor of 200, 556, 492, 248 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 200, 556, 492, 248 i.e 4.
3. How can I use the GCD of 200, 556, 492, 248Calculator?
Out the numbers 200, 556, 492, 248 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.