Online GCD Calculator is useful to find the GCD of 124, 540, 438, 404 quickly. Get the easiest ways to solve the greatest common divisor of 124, 540, 438, 404 i.e 2 in different methods as follows.
Given Input numbers are 124, 540, 438, 404
In the factoring method, we have to find the divisors of all numbers
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
GCD of numbers is the greatest common divisor
So, the GCD (124, 540, 438, 404) = 2.
Given numbers are 124, 540, 438, 404
The list of prime factors of all numbers are
Prime factors of 124 are 2 x 2 x 31
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 438 are 2 x 3 x 73
Prime factors of 404 are 2 x 2 x 101
The highest common occurrence is 21
Therefore, GCD of 124, 540, 438, 404 is 2.
Given numbers are 124, 540, 438, 404
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(124, 540) = 16740
GCD(124, 540) = ( 124 x 540 ) / 16740
= 124 / 540
= 124
Step2:
LCM(4, 438) = 876
GCD(4, 438) = ( 4 x 438 ) / 876
= 4 / 438
= 4
Step3:
LCM(2, 404) = 404
GCD(2, 404) = ( 2 x 404 ) / 404
= 2 / 404
= 2
So, Greatest Common Divisor of 124, 540, 438, 404 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 124, 540, 438, 404
The greatest common divisor of numbers 124, 540, 438, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 124, 540, 438, 404 is 2.
1. What is the GCD of 124, 540, 438, 404?
GCD of given numbers 124, 540, 438, 404 is 2
2. How to calculate the greatest common divisor of 124, 540, 438, 404?
We can find the highest common divisor of 124, 540, 438, 404 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 124, 540, 438, 404 i.e 2.
3. How can I use the GCD of 124, 540, 438, 404Calculator?
Out the numbers 124, 540, 438, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.