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GCD of 496, 710, 638, 521 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, 710, 638, 521 quickly. Get the easiest ways to solve the greatest common divisor of 496, 710, 638, 521 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 496, 710, 638, 521 with Factoring?

Given Input numbers are 496, 710, 638, 521

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 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521


GCD of numbers is the greatest common divisor

So, the GCD (496, 710, 638, 521) = 1.

Find GCD of 496, 710, 638, 521 using Prime Factorization

Given numbers are 496, 710, 638, 521

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 710 are 2 x 5 x 71

Prime factors of 638 are 2 x 11 x 29

Prime factors of 521 are 521

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

Steps to Calculate GCD of 496, 710, 638, 521 using LCM Formula

Given numbers are 496, 710, 638, 521

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

Apply this formula for all numbers.

Step1:

LCM(496, 710) = 176080

GCD(496, 710) = ( 496 x 710 ) / 176080

= 496 / 710

= 496


Step2:

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

= 2 / 638

= 2


Step3:

LCM(2, 521) = 1042

GCD(2, 521) = ( 2 x 521 ) / 1042

= 2 / 521

= 2


So, Greatest Common Divisor of 496, 710, 638, 521 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 496, 710, 638, 521

Given numbers are 496, 710, 638, 521
The greatest common divisor of numbers 496, 710, 638, 521 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 710, 638, 521 is 1.

FAQs on GCD of 496, 710, 638, 521 Calculator

1. What is the GCD of 496, 710, 638, 521?

GCD of given numbers 496, 710, 638, 521 is 1


2. How to calculate the greatest common divisor of 496, 710, 638, 521?

We can find the highest common divisor of 496, 710, 638, 521 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, 710, 638, 521 i.e 1.


3. How can I use the GCD of 496, 710, 638, 521Calculator?

Out the numbers 496, 710, 638, 521 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.