Online GCD Calculator is useful to find the GCD of 248, 548, 576, 800 quickly. Get the easiest ways to solve the greatest common divisor of 248, 548, 576, 800 i.e 4 in different methods as follows.
Given Input numbers are 248, 548, 576, 800
In the factoring method, we have to find the divisors of all numbers
Divisors of 248 :
The positive integer divisors of 248 that completely divides 248 are.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
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
GCD of numbers is the greatest common divisor
So, the GCD (248, 548, 576, 800) = 4.
Given numbers are 248, 548, 576, 800
The list of prime factors of all numbers are
Prime factors of 248 are 2 x 2 x 2 x 31
Prime factors of 548 are 2 x 2 x 137
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 248, 548, 576, 800 is 4.
Given numbers are 248, 548, 576, 800
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(248, 548) = 33976
GCD(248, 548) = ( 248 x 548 ) / 33976
= 248 / 548
= 248
Step2:
LCM(4, 576) = 576
GCD(4, 576) = ( 4 x 576 ) / 576
= 4 / 576
= 4
Step3:
LCM(4, 800) = 800
GCD(4, 800) = ( 4 x 800 ) / 800
= 4 / 800
= 4
So, Greatest Common Divisor of 248, 548, 576, 800 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 248, 548, 576, 800
The greatest common divisor of numbers 248, 548, 576, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 248, 548, 576, 800 is 4.
1. What is the GCD of 248, 548, 576, 800?
GCD of given numbers 248, 548, 576, 800 is 4
2. How to calculate the greatest common divisor of 248, 548, 576, 800?
We can find the highest common divisor of 248, 548, 576, 800 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 248, 548, 576, 800 i.e 4.
3. How can I use the GCD of 248, 548, 576, 800Calculator?
Out the numbers 248, 548, 576, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.