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GCD of 538, 436, 349, 273 Calculator

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


Online GCD Calculator is useful to find the GCD of 538, 436, 349, 273 quickly. Get the easiest ways to solve the greatest common divisor of 538, 436, 349, 273 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 538, 436, 349, 273 with Factoring?

Given Input numbers are 538, 436, 349, 273

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273


GCD of numbers is the greatest common divisor

So, the GCD (538, 436, 349, 273) = 1.

Find GCD of 538, 436, 349, 273 using Prime Factorization

Given numbers are 538, 436, 349, 273

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 436 are 2 x 2 x 109

Prime factors of 349 are 349

Prime factors of 273 are 3 x 7 x 13

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

Steps to Calculate GCD of 538, 436, 349, 273 using LCM Formula

Given numbers are 538, 436, 349, 273

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

Apply this formula for all numbers.

Step1:

LCM(538, 436) = 117284

GCD(538, 436) = ( 538 x 436 ) / 117284

= 538 / 436

= 538


Step2:

LCM(2, 349) = 698

GCD(2, 349) = ( 2 x 349 ) / 698

= 2 / 349

= 2


Step3:

LCM(1, 273) = 273

GCD(1, 273) = ( 1 x 273 ) / 273

= 1 / 273

= 1


So, Greatest Common Divisor of 538, 436, 349, 273 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 538, 436, 349, 273

Given numbers are 538, 436, 349, 273
The greatest common divisor of numbers 538, 436, 349, 273 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 436, 349, 273 is 1.

FAQs on GCD of 538, 436, 349, 273 Calculator

1. What is the GCD of 538, 436, 349, 273?

GCD of given numbers 538, 436, 349, 273 is 1


2. How to calculate the greatest common divisor of 538, 436, 349, 273?

We can find the highest common divisor of 538, 436, 349, 273 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 538, 436, 349, 273 i.e 1.


3. How can I use the GCD of 538, 436, 349, 273Calculator?

Out the numbers 538, 436, 349, 273 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.