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GCD of 264, 192, 705, 271 Calculator

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


Online GCD Calculator is useful to find the GCD of 264, 192, 705, 271 quickly. Get the easiest ways to solve the greatest common divisor of 264, 192, 705, 271 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 264, 192, 705, 271 with Factoring?

Given Input numbers are 264, 192, 705, 271

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271


GCD of numbers is the greatest common divisor

So, the GCD (264, 192, 705, 271) = 1.

Find GCD of 264, 192, 705, 271 using Prime Factorization

Given numbers are 264, 192, 705, 271

The list of prime factors of all numbers are

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 705 are 3 x 5 x 47

Prime factors of 271 are 271

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

Steps to Calculate GCD of 264, 192, 705, 271 using LCM Formula

Given numbers are 264, 192, 705, 271

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

Apply this formula for all numbers.

Step1:

LCM(264, 192) = 2112

GCD(264, 192) = ( 264 x 192 ) / 2112

= 264 / 192

= 264


Step2:

LCM(24, 705) = 5640

GCD(24, 705) = ( 24 x 705 ) / 5640

= 24 / 705

= 24


Step3:

LCM(3, 271) = 813

GCD(3, 271) = ( 3 x 271 ) / 813

= 3 / 271

= 3


So, Greatest Common Divisor of 264, 192, 705, 271 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 264, 192, 705, 271

Given numbers are 264, 192, 705, 271
The greatest common divisor of numbers 264, 192, 705, 271 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 192, 705, 271 is 1.

FAQs on GCD of 264, 192, 705, 271 Calculator

1. What is the GCD of 264, 192, 705, 271?

GCD of given numbers 264, 192, 705, 271 is 1


2. How to calculate the greatest common divisor of 264, 192, 705, 271?

We can find the highest common divisor of 264, 192, 705, 271 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 264, 192, 705, 271 i.e 1.


3. How can I use the GCD of 264, 192, 705, 271Calculator?

Out the numbers 264, 192, 705, 271 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.