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GCD of 478, 660, 724, 423 Calculator

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


Online GCD Calculator is useful to find the GCD of 478, 660, 724, 423 quickly. Get the easiest ways to solve the greatest common divisor of 478, 660, 724, 423 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 478, 660, 724, 423 with Factoring?

Given Input numbers are 478, 660, 724, 423

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

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423


GCD of numbers is the greatest common divisor

So, the GCD (478, 660, 724, 423) = 1.

Find GCD of 478, 660, 724, 423 using Prime Factorization

Given numbers are 478, 660, 724, 423

The list of prime factors of all numbers are

Prime factors of 478 are 2 x 239

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 724 are 2 x 2 x 181

Prime factors of 423 are 3 x 3 x 47

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

Steps to Calculate GCD of 478, 660, 724, 423 using LCM Formula

Given numbers are 478, 660, 724, 423

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

Apply this formula for all numbers.

Step1:

LCM(478, 660) = 157740

GCD(478, 660) = ( 478 x 660 ) / 157740

= 478 / 660

= 478


Step2:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2


Step3:

LCM(2, 423) = 846

GCD(2, 423) = ( 2 x 423 ) / 846

= 2 / 423

= 2


So, Greatest Common Divisor of 478, 660, 724, 423 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 478, 660, 724, 423

Given numbers are 478, 660, 724, 423
The greatest common divisor of numbers 478, 660, 724, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 478, 660, 724, 423 is 1.

FAQs on GCD of 478, 660, 724, 423 Calculator

1. What is the GCD of 478, 660, 724, 423?

GCD of given numbers 478, 660, 724, 423 is 1


2. How to calculate the greatest common divisor of 478, 660, 724, 423?

We can find the highest common divisor of 478, 660, 724, 423 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 478, 660, 724, 423 i.e 1.


3. How can I use the GCD of 478, 660, 724, 423Calculator?

Out the numbers 478, 660, 724, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.