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GCD of 838, 496, 656, 529 Calculator

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


Online GCD Calculator is useful to find the GCD of 838, 496, 656, 529 quickly. Get the easiest ways to solve the greatest common divisor of 838, 496, 656, 529 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 838, 496, 656, 529 with Factoring?

Given Input numbers are 838, 496, 656, 529

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

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 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 529 :

The positive integer divisors of 529 that completely divides 529 are.

1, 23, 529


GCD of numbers is the greatest common divisor

So, the GCD (838, 496, 656, 529) = 1.

Find GCD of 838, 496, 656, 529 using Prime Factorization

Given numbers are 838, 496, 656, 529

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

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

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 529 are 23 x 23

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

Steps to Calculate GCD of 838, 496, 656, 529 using LCM Formula

Given numbers are 838, 496, 656, 529

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

Apply this formula for all numbers.

Step1:

LCM(838, 496) = 207824

GCD(838, 496) = ( 838 x 496 ) / 207824

= 838 / 496

= 838


Step2:

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

= 2 / 656

= 2


Step3:

LCM(2, 529) = 1058

GCD(2, 529) = ( 2 x 529 ) / 1058

= 2 / 529

= 2


So, Greatest Common Divisor of 838, 496, 656, 529 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 838, 496, 656, 529

Given numbers are 838, 496, 656, 529
The greatest common divisor of numbers 838, 496, 656, 529 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 496, 656, 529 is 1.

FAQs on GCD of 838, 496, 656, 529 Calculator

1. What is the GCD of 838, 496, 656, 529?

GCD of given numbers 838, 496, 656, 529 is 1


2. How to calculate the greatest common divisor of 838, 496, 656, 529?

We can find the highest common divisor of 838, 496, 656, 529 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 838, 496, 656, 529 i.e 1.


3. How can I use the GCD of 838, 496, 656, 529Calculator?

Out the numbers 838, 496, 656, 529 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.