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GCD of 477, 576, 342, 739 Calculator

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


Online GCD Calculator is useful to find the GCD of 477, 576, 342, 739 quickly. Get the easiest ways to solve the greatest common divisor of 477, 576, 342, 739 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 477, 576, 342, 739 with Factoring?

Given Input numbers are 477, 576, 342, 739

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

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 739 :

The positive integer divisors of 739 that completely divides 739 are.

1, 739


GCD of numbers is the greatest common divisor

So, the GCD (477, 576, 342, 739) = 1.

Find GCD of 477, 576, 342, 739 using Prime Factorization

Given numbers are 477, 576, 342, 739

The list of prime factors of all numbers are

Prime factors of 477 are 3 x 3 x 53

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 739 are 739

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

Steps to Calculate GCD of 477, 576, 342, 739 using LCM Formula

Given numbers are 477, 576, 342, 739

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

Apply this formula for all numbers.

Step1:

LCM(477, 576) = 30528

GCD(477, 576) = ( 477 x 576 ) / 30528

= 477 / 576

= 477


Step2:

LCM(9, 342) = 342

GCD(9, 342) = ( 9 x 342 ) / 342

= 9 / 342

= 9


Step3:

LCM(9, 739) = 6651

GCD(9, 739) = ( 9 x 739 ) / 6651

= 9 / 739

= 9


So, Greatest Common Divisor of 477, 576, 342, 739 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 477, 576, 342, 739

Given numbers are 477, 576, 342, 739
The greatest common divisor of numbers 477, 576, 342, 739 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 477, 576, 342, 739 is 1.

FAQs on GCD of 477, 576, 342, 739 Calculator

1. What is the GCD of 477, 576, 342, 739?

GCD of given numbers 477, 576, 342, 739 is 1


2. How to calculate the greatest common divisor of 477, 576, 342, 739?

We can find the highest common divisor of 477, 576, 342, 739 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 477, 576, 342, 739 i.e 1.


3. How can I use the GCD of 477, 576, 342, 739Calculator?

Out the numbers 477, 576, 342, 739 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.