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GCD of 504, 732, 781, 725 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, 732, 781, 725 quickly. Get the easiest ways to solve the greatest common divisor of 504, 732, 781, 725 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 504, 732, 781, 725 with Factoring?

Given Input numbers are 504, 732, 781, 725

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 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 781 :

The positive integer divisors of 781 that completely divides 781 are.

1, 11, 71, 781

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725


GCD of numbers is the greatest common divisor

So, the GCD (504, 732, 781, 725) = 1.

Find GCD of 504, 732, 781, 725 using Prime Factorization

Given numbers are 504, 732, 781, 725

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 732 are 2 x 2 x 3 x 61

Prime factors of 781 are 11 x 71

Prime factors of 725 are 5 x 5 x 29

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

Steps to Calculate GCD of 504, 732, 781, 725 using LCM Formula

Given numbers are 504, 732, 781, 725

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

Apply this formula for all numbers.

Step1:

LCM(504, 732) = 30744

GCD(504, 732) = ( 504 x 732 ) / 30744

= 504 / 732

= 504


Step2:

LCM(12, 781) = 9372

GCD(12, 781) = ( 12 x 781 ) / 9372

= 12 / 781

= 12


Step3:

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

= 1 / 725

= 1


So, Greatest Common Divisor of 504, 732, 781, 725 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 504, 732, 781, 725

Given numbers are 504, 732, 781, 725
The greatest common divisor of numbers 504, 732, 781, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 732, 781, 725 is 1.

FAQs on GCD of 504, 732, 781, 725 Calculator

1. What is the GCD of 504, 732, 781, 725?

GCD of given numbers 504, 732, 781, 725 is 1


2. How to calculate the greatest common divisor of 504, 732, 781, 725?

We can find the highest common divisor of 504, 732, 781, 725 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, 732, 781, 725 i.e 1.


3. How can I use the GCD of 504, 732, 781, 725Calculator?

Out the numbers 504, 732, 781, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.