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GCD of 496, 775, 739, 323 Calculator

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


Online GCD Calculator is useful to find the GCD of 496, 775, 739, 323 quickly. Get the easiest ways to solve the greatest common divisor of 496, 775, 739, 323 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 496, 775, 739, 323 with Factoring?

Given Input numbers are 496, 775, 739, 323

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775

Divisors of 739 :

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

1, 739

Divisors of 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323


GCD of numbers is the greatest common divisor

So, the GCD (496, 775, 739, 323) = 1.

Find GCD of 496, 775, 739, 323 using Prime Factorization

Given numbers are 496, 775, 739, 323

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 775 are 5 x 5 x 31

Prime factors of 739 are 739

Prime factors of 323 are 17 x 19

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

Steps to Calculate GCD of 496, 775, 739, 323 using LCM Formula

Given numbers are 496, 775, 739, 323

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

Apply this formula for all numbers.

Step1:

LCM(496, 775) = 12400

GCD(496, 775) = ( 496 x 775 ) / 12400

= 496 / 775

= 496


Step2:

LCM(31, 739) = 22909

GCD(31, 739) = ( 31 x 739 ) / 22909

= 31 / 739

= 31


Step3:

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

= 1 / 323

= 1


So, Greatest Common Divisor of 496, 775, 739, 323 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 496, 775, 739, 323

Given numbers are 496, 775, 739, 323
The greatest common divisor of numbers 496, 775, 739, 323 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 775, 739, 323 is 1.

FAQs on GCD of 496, 775, 739, 323 Calculator

1. What is the GCD of 496, 775, 739, 323?

GCD of given numbers 496, 775, 739, 323 is 1


2. How to calculate the greatest common divisor of 496, 775, 739, 323?

We can find the highest common divisor of 496, 775, 739, 323 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 496, 775, 739, 323 i.e 1.


3. How can I use the GCD of 496, 775, 739, 323Calculator?

Out the numbers 496, 775, 739, 323 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.