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GCD of 469, 724, 506, 331 Calculator

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


Online GCD Calculator is useful to find the GCD of 469, 724, 506, 331 quickly. Get the easiest ways to solve the greatest common divisor of 469, 724, 506, 331 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 469, 724, 506, 331 with Factoring?

Given Input numbers are 469, 724, 506, 331

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

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331


GCD of numbers is the greatest common divisor

So, the GCD (469, 724, 506, 331) = 1.

Find GCD of 469, 724, 506, 331 using Prime Factorization

Given numbers are 469, 724, 506, 331

The list of prime factors of all numbers are

Prime factors of 469 are 7 x 67

Prime factors of 724 are 2 x 2 x 181

Prime factors of 506 are 2 x 11 x 23

Prime factors of 331 are 331

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

Steps to Calculate GCD of 469, 724, 506, 331 using LCM Formula

Given numbers are 469, 724, 506, 331

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

Apply this formula for all numbers.

Step1:

LCM(469, 724) = 339556

GCD(469, 724) = ( 469 x 724 ) / 339556

= 469 / 724

= 469


Step2:

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

= 1 / 506

= 1


Step3:

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

= 1 / 331

= 1


So, Greatest Common Divisor of 469, 724, 506, 331 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 469, 724, 506, 331

Given numbers are 469, 724, 506, 331
The greatest common divisor of numbers 469, 724, 506, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 469, 724, 506, 331 is 1.

FAQs on GCD of 469, 724, 506, 331 Calculator

1. What is the GCD of 469, 724, 506, 331?

GCD of given numbers 469, 724, 506, 331 is 1


2. How to calculate the greatest common divisor of 469, 724, 506, 331?

We can find the highest common divisor of 469, 724, 506, 331 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 469, 724, 506, 331 i.e 1.


3. How can I use the GCD of 469, 724, 506, 331Calculator?

Out the numbers 469, 724, 506, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.