Online GCD Calculator is useful to find the GCD of 548, 872, 336, 200 quickly. Get the easiest ways to solve the greatest common divisor of 548, 872, 336, 200 i.e 4 in different methods as follows.
Given Input numbers are 548, 872, 336, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
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
GCD of numbers is the greatest common divisor
So, the GCD (548, 872, 336, 200) = 4.
Given numbers are 548, 872, 336, 200
The list of prime factors of all numbers are
Prime factors of 548 are 2 x 2 x 137
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 548, 872, 336, 200 is 4.
Given numbers are 548, 872, 336, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(548, 872) = 119464
GCD(548, 872) = ( 548 x 872 ) / 119464
= 548 / 872
= 548
Step2:
LCM(4, 336) = 336
GCD(4, 336) = ( 4 x 336 ) / 336
= 4 / 336
= 4
Step3:
LCM(4, 200) = 200
GCD(4, 200) = ( 4 x 200 ) / 200
= 4 / 200
= 4
So, Greatest Common Divisor of 548, 872, 336, 200 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 548, 872, 336, 200
The greatest common divisor of numbers 548, 872, 336, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 872, 336, 200 is 4.
1. What is the GCD of 548, 872, 336, 200?
GCD of given numbers 548, 872, 336, 200 is 4
2. How to calculate the greatest common divisor of 548, 872, 336, 200?
We can find the highest common divisor of 548, 872, 336, 200 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 548, 872, 336, 200 i.e 4.
3. How can I use the GCD of 548, 872, 336, 200Calculator?
Out the numbers 548, 872, 336, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.