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GCD of 392, 504, 471, 720 Calculator

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


Online GCD Calculator is useful to find the GCD of 392, 504, 471, 720 quickly. Get the easiest ways to solve the greatest common divisor of 392, 504, 471, 720 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 392, 504, 471, 720 with Factoring?

Given Input numbers are 392, 504, 471, 720

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

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

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 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720


GCD of numbers is the greatest common divisor

So, the GCD (392, 504, 471, 720) = 1.

Find GCD of 392, 504, 471, 720 using Prime Factorization

Given numbers are 392, 504, 471, 720

The list of prime factors of all numbers are

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 471 are 3 x 157

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Steps to Calculate GCD of 392, 504, 471, 720 using LCM Formula

Given numbers are 392, 504, 471, 720

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

Apply this formula for all numbers.

Step1:

LCM(392, 504) = 3528

GCD(392, 504) = ( 392 x 504 ) / 3528

= 392 / 504

= 392


Step2:

LCM(56, 471) = 26376

GCD(56, 471) = ( 56 x 471 ) / 26376

= 56 / 471

= 56


Step3:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1


So, Greatest Common Divisor of 392, 504, 471, 720 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 392, 504, 471, 720

Given numbers are 392, 504, 471, 720
The greatest common divisor of numbers 392, 504, 471, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 504, 471, 720 is 1.

FAQs on GCD of 392, 504, 471, 720 Calculator

1. What is the GCD of 392, 504, 471, 720?

GCD of given numbers 392, 504, 471, 720 is 1


2. How to calculate the greatest common divisor of 392, 504, 471, 720?

We can find the highest common divisor of 392, 504, 471, 720 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 392, 504, 471, 720 i.e 1.


3. How can I use the GCD of 392, 504, 471, 720Calculator?

Out the numbers 392, 504, 471, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.