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GCD of 500, 463, 525 Calculator

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


Online GCD Calculator is useful to find the GCD of 500, 463, 525 quickly. Get the easiest ways to solve the greatest common divisor of 500, 463, 525 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 500, 463, 525 with Factoring?

Given Input numbers are 500, 463, 525

In the factoring method, we have to find the divisors of all numbers

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 463 :

The positive integer divisors of 463 that completely divides 463 are.

1, 463

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


GCD of numbers is the greatest common divisor

So, the GCD (500, 463, 525) = 1.

Find GCD of 500, 463, 525 using Prime Factorization

Given numbers are 500, 463, 525

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 463 are 463

Prime factors of 525 are 3 x 5 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 500, 463, 525 using LCM Formula

Given numbers are 500, 463, 525

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(500, 463) = 231500

GCD(500, 463) = ( 500 x 463 ) / 231500

= 500 / 463

= 500


Step2:

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

= 1 / 525

= 1


So, Greatest Common Divisor of 500, 463, 525 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 500, 463, 525

Given numbers are 500, 463, 525
The greatest common divisor of numbers 500, 463, 525 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 463, 525 is 1.

FAQs on GCD of 500, 463, 525 Calculator

1. What is the GCD of 500, 463, 525?

GCD of given numbers 500, 463, 525 is 1


2. How to calculate the greatest common divisor of 500, 463, 525?

We can find the highest common divisor of 500, 463, 525 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 500, 463, 525 i.e 1.


3. How can I use the GCD of 500, 463, 525Calculator?

Out the numbers 500, 463, 525 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.