Online GCD Calculator is useful to find the GCD of 504, 600, 525, 470 quickly. Get the easiest ways to solve the greatest common divisor of 504, 600, 525, 470 i.e 1 in different methods as follows.
Given Input numbers are 504, 600, 525, 470
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 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 525 :
The positive integer divisors of 525 that completely divides 525 are.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
GCD of numbers is the greatest common divisor
So, the GCD (504, 600, 525, 470) = 1.
Given numbers are 504, 600, 525, 470
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 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 525 are 3 x 5 x 5 x 7
Prime factors of 470 are 2 x 5 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 504, 600, 525, 470
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(504, 600) = 12600
GCD(504, 600) = ( 504 x 600 ) / 12600
= 504 / 600
= 504
Step2:
LCM(24, 525) = 4200
GCD(24, 525) = ( 24 x 525 ) / 4200
= 24 / 525
= 24
Step3:
LCM(3, 470) = 1410
GCD(3, 470) = ( 3 x 470 ) / 1410
= 3 / 470
= 3
So, Greatest Common Divisor of 504, 600, 525, 470 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 504, 600, 525, 470
The greatest common divisor of numbers 504, 600, 525, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 600, 525, 470 is 1.
1. What is the GCD of 504, 600, 525, 470?
GCD of given numbers 504, 600, 525, 470 is 1
2. How to calculate the greatest common divisor of 504, 600, 525, 470?
We can find the highest common divisor of 504, 600, 525, 470 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, 600, 525, 470 i.e 1.
3. How can I use the GCD of 504, 600, 525, 470Calculator?
Out the numbers 504, 600, 525, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.