Online GCD Calculator is useful to find the GCD of 144, 540, 375, 442 quickly. Get the easiest ways to solve the greatest common divisor of 144, 540, 375, 442 i.e 1 in different methods as follows.
Given Input numbers are 144, 540, 375, 442
In the factoring method, we have to find the divisors of all numbers
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
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 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
GCD of numbers is the greatest common divisor
So, the GCD (144, 540, 375, 442) = 1.
Given numbers are 144, 540, 375, 442
The list of prime factors of all numbers are
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 442 are 2 x 13 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 144, 540, 375, 442
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 540) = 2160
GCD(144, 540) = ( 144 x 540 ) / 2160
= 144 / 540
= 144
Step2:
LCM(36, 375) = 4500
GCD(36, 375) = ( 36 x 375 ) / 4500
= 36 / 375
= 36
Step3:
LCM(3, 442) = 1326
GCD(3, 442) = ( 3 x 442 ) / 1326
= 3 / 442
= 3
So, Greatest Common Divisor of 144, 540, 375, 442 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 144, 540, 375, 442
The greatest common divisor of numbers 144, 540, 375, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 540, 375, 442 is 1.
1. What is the GCD of 144, 540, 375, 442?
GCD of given numbers 144, 540, 375, 442 is 1
2. How to calculate the greatest common divisor of 144, 540, 375, 442?
We can find the highest common divisor of 144, 540, 375, 442 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 144, 540, 375, 442 i.e 1.
3. How can I use the GCD of 144, 540, 375, 442Calculator?
Out the numbers 144, 540, 375, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.