Online GCD Calculator is useful to find the GCD of 548, 600, 584, 258 quickly. Get the easiest ways to solve the greatest common divisor of 548, 600, 584, 258 i.e 2 in different methods as follows.
Given Input numbers are 548, 600, 584, 258
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 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 258 :
The positive integer divisors of 258 that completely divides 258 are.
1, 2, 3, 6, 43, 86, 129, 258
GCD of numbers is the greatest common divisor
So, the GCD (548, 600, 584, 258) = 2.
Given numbers are 548, 600, 584, 258
The list of prime factors of all numbers are
Prime factors of 548 are 2 x 2 x 137
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 258 are 2 x 3 x 43
The highest common occurrence is 21
Therefore, GCD of 548, 600, 584, 258 is 2.
Given numbers are 548, 600, 584, 258
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(548, 600) = 82200
GCD(548, 600) = ( 548 x 600 ) / 82200
= 548 / 600
= 548
Step2:
LCM(4, 584) = 584
GCD(4, 584) = ( 4 x 584 ) / 584
= 4 / 584
= 4
Step3:
LCM(4, 258) = 516
GCD(4, 258) = ( 4 x 258 ) / 516
= 4 / 258
= 4
So, Greatest Common Divisor of 548, 600, 584, 258 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 548, 600, 584, 258
The greatest common divisor of numbers 548, 600, 584, 258 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 600, 584, 258 is 2.
1. What is the GCD of 548, 600, 584, 258?
GCD of given numbers 548, 600, 584, 258 is 2
2. How to calculate the greatest common divisor of 548, 600, 584, 258?
We can find the highest common divisor of 548, 600, 584, 258 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, 600, 584, 258 i.e 2.
3. How can I use the GCD of 548, 600, 584, 258Calculator?
Out the numbers 548, 600, 584, 258 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.