Online GCD Calculator is useful to find the GCD of 504, 100, 576, 135 quickly. Get the easiest ways to solve the greatest common divisor of 504, 100, 576, 135 i.e 1 in different methods as follows.
Given Input numbers are 504, 100, 576, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (504, 100, 576, 135) = 1.
Given numbers are 504, 100, 576, 135
The list of prime factors of all numbers are
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 135 are 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 504, 100, 576, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(504, 100) = 12600
GCD(504, 100) = ( 504 x 100 ) / 12600
= 504 / 100
= 504
Step2:
LCM(4, 576) = 576
GCD(4, 576) = ( 4 x 576 ) / 576
= 4 / 576
= 4
Step3:
LCM(4, 135) = 540
GCD(4, 135) = ( 4 x 135 ) / 540
= 4 / 135
= 4
So, Greatest Common Divisor of 504, 100, 576, 135 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 504, 100, 576, 135
The greatest common divisor of numbers 504, 100, 576, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 100, 576, 135 is 1.
1. What is the GCD of 504, 100, 576, 135?
GCD of given numbers 504, 100, 576, 135 is 1
2. How to calculate the greatest common divisor of 504, 100, 576, 135?
We can find the highest common divisor of 504, 100, 576, 135 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 504, 100, 576, 135 i.e 1.
3. How can I use the GCD of 504, 100, 576, 135Calculator?
Out the numbers 504, 100, 576, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.