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GCD of 504, 600, 525, 470 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


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.

GCD of

How to Find GCD of Numbers 504, 600, 525, 470 with Factoring?

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.

Find GCD of 504, 600, 525, 470 using Prime Factorization

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

Steps to Calculate GCD of 504, 600, 525, 470 using LCM Formula

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

GCD of Numbers Calculation Examples

Greatest Common Divisor of 504, 600, 525, 470

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.

FAQs on GCD of 504, 600, 525, 470 Calculator

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.