Online GCD Calculator is useful to find the GCD of 300, 441, 543, 138 quickly. Get the easiest ways to solve the greatest common divisor of 300, 441, 543, 138 i.e 3 in different methods as follows.
Given Input numbers are 300, 441, 543, 138
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 543 :
The positive integer divisors of 543 that completely divides 543 are.
1, 3, 181, 543
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (300, 441, 543, 138) = 3.
Given numbers are 300, 441, 543, 138
The list of prime factors of all numbers are
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 543 are 3 x 181
Prime factors of 138 are 2 x 3 x 23
The highest common occurrence is 31
Therefore, GCD of 300, 441, 543, 138 is 3.
Given numbers are 300, 441, 543, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(300, 441) = 44100
GCD(300, 441) = ( 300 x 441 ) / 44100
= 300 / 441
= 300
Step2:
LCM(3, 543) = 543
GCD(3, 543) = ( 3 x 543 ) / 543
= 3 / 543
= 3
Step3:
LCM(3, 138) = 138
GCD(3, 138) = ( 3 x 138 ) / 138
= 3 / 138
= 3
So, Greatest Common Divisor of 300, 441, 543, 138 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 300, 441, 543, 138
The greatest common divisor of numbers 300, 441, 543, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 441, 543, 138 is 3.
1. What is the GCD of 300, 441, 543, 138?
GCD of given numbers 300, 441, 543, 138 is 3
2. How to calculate the greatest common divisor of 300, 441, 543, 138?
We can find the highest common divisor of 300, 441, 543, 138 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 300, 441, 543, 138 i.e 3.
3. How can I use the GCD of 300, 441, 543, 138Calculator?
Out the numbers 300, 441, 543, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.