LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 537, 936, 349, 288 Calculator

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


Online GCD Calculator is useful to find the GCD of 537, 936, 349, 288 quickly. Get the easiest ways to solve the greatest common divisor of 537, 936, 349, 288 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 537, 936, 349, 288 with Factoring?

Given Input numbers are 537, 936, 349, 288

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

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 349 :

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

1, 349

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

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


GCD of numbers is the greatest common divisor

So, the GCD (537, 936, 349, 288) = 1.

Find GCD of 537, 936, 349, 288 using Prime Factorization

Given numbers are 537, 936, 349, 288

The list of prime factors of all numbers are

Prime factors of 537 are 3 x 179

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 349 are 349

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Steps to Calculate GCD of 537, 936, 349, 288 using LCM Formula

Given numbers are 537, 936, 349, 288

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

Apply this formula for all numbers.

Step1:

LCM(537, 936) = 167544

GCD(537, 936) = ( 537 x 936 ) / 167544

= 537 / 936

= 537


Step2:

LCM(3, 349) = 1047

GCD(3, 349) = ( 3 x 349 ) / 1047

= 3 / 349

= 3


Step3:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1


So, Greatest Common Divisor of 537, 936, 349, 288 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 537, 936, 349, 288

Given numbers are 537, 936, 349, 288
The greatest common divisor of numbers 537, 936, 349, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 537, 936, 349, 288 is 1.

FAQs on GCD of 537, 936, 349, 288 Calculator

1. What is the GCD of 537, 936, 349, 288?

GCD of given numbers 537, 936, 349, 288 is 1


2. How to calculate the greatest common divisor of 537, 936, 349, 288?

We can find the highest common divisor of 537, 936, 349, 288 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 537, 936, 349, 288 i.e 1.


3. How can I use the GCD of 537, 936, 349, 288Calculator?

Out the numbers 537, 936, 349, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.