Online GCD Calculator is useful to find the GCD of 548, 290, 150, 300 quickly. Get the easiest ways to solve the greatest common divisor of 548, 290, 150, 300 i.e 2 in different methods as follows.
Given Input numbers are 548, 290, 150, 300
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 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (548, 290, 150, 300) = 2.
Given numbers are 548, 290, 150, 300
The list of prime factors of all numbers are
Prime factors of 548 are 2 x 2 x 137
Prime factors of 290 are 2 x 5 x 29
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 548, 290, 150, 300 is 2.
Given numbers are 548, 290, 150, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(548, 290) = 79460
GCD(548, 290) = ( 548 x 290 ) / 79460
= 548 / 290
= 548
Step2:
LCM(2, 150) = 150
GCD(2, 150) = ( 2 x 150 ) / 150
= 2 / 150
= 2
Step3:
LCM(2, 300) = 300
GCD(2, 300) = ( 2 x 300 ) / 300
= 2 / 300
= 2
So, Greatest Common Divisor of 548, 290, 150, 300 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 548, 290, 150, 300
The greatest common divisor of numbers 548, 290, 150, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 290, 150, 300 is 2.
1. What is the GCD of 548, 290, 150, 300?
GCD of given numbers 548, 290, 150, 300 is 2
2. How to calculate the greatest common divisor of 548, 290, 150, 300?
We can find the highest common divisor of 548, 290, 150, 300 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, 290, 150, 300 i.e 2.
3. How can I use the GCD of 548, 290, 150, 300Calculator?
Out the numbers 548, 290, 150, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.