Online GCD Calculator is useful to find the GCD of 548, 550, 598, 824 quickly. Get the easiest ways to solve the greatest common divisor of 548, 550, 598, 824 i.e 2 in different methods as follows.
Given Input numbers are 548, 550, 598, 824
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 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 598 :
The positive integer divisors of 598 that completely divides 598 are.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
GCD of numbers is the greatest common divisor
So, the GCD (548, 550, 598, 824) = 2.
Given numbers are 548, 550, 598, 824
The list of prime factors of all numbers are
Prime factors of 548 are 2 x 2 x 137
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 598 are 2 x 13 x 23
Prime factors of 824 are 2 x 2 x 2 x 103
The highest common occurrence is 21
Therefore, GCD of 548, 550, 598, 824 is 2.
Given numbers are 548, 550, 598, 824
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(548, 550) = 150700
GCD(548, 550) = ( 548 x 550 ) / 150700
= 548 / 550
= 548
Step2:
LCM(2, 598) = 598
GCD(2, 598) = ( 2 x 598 ) / 598
= 2 / 598
= 2
Step3:
LCM(2, 824) = 824
GCD(2, 824) = ( 2 x 824 ) / 824
= 2 / 824
= 2
So, Greatest Common Divisor of 548, 550, 598, 824 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 548, 550, 598, 824
The greatest common divisor of numbers 548, 550, 598, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 550, 598, 824 is 2.
1. What is the GCD of 548, 550, 598, 824?
GCD of given numbers 548, 550, 598, 824 is 2
2. How to calculate the greatest common divisor of 548, 550, 598, 824?
We can find the highest common divisor of 548, 550, 598, 824 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, 550, 598, 824 i.e 2.
3. How can I use the GCD of 548, 550, 598, 824Calculator?
Out the numbers 548, 550, 598, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.