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 306, 750, 264, 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 306, 750, 264, 271 quickly. Get the easiest ways to solve the greatest common divisor of 306, 750, 264, 271 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 306, 750, 264, 271 with Factoring?

Given Input numbers are 306, 750, 264, 271

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

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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 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 (306, 750, 264, 271) = 1.

Find GCD of 306, 750, 264, 271 using Prime Factorization

Given numbers are 306, 750, 264, 271

The list of prime factors of all numbers are

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

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

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 306, 750, 264, 271 using LCM Formula

Given numbers are 306, 750, 264, 271

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

Apply this formula for all numbers.

Step1:

LCM(306, 750) = 38250

GCD(306, 750) = ( 306 x 750 ) / 38250

= 306 / 750

= 306


Step2:

LCM(6, 264) = 264

GCD(6, 264) = ( 6 x 264 ) / 264

= 6 / 264

= 6


Step3:

LCM(6, 271) = 1626

GCD(6, 271) = ( 6 x 271 ) / 1626

= 6 / 271

= 6


So, Greatest Common Divisor of 306, 750, 264, 271 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 306, 750, 264, 271

Given numbers are 306, 750, 264, 271
The greatest common divisor of numbers 306, 750, 264, 271 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 750, 264, 271 is 1.

FAQs on GCD of 306, 750, 264, 271 Calculator

1. What is the GCD of 306, 750, 264, 271?

GCD of given numbers 306, 750, 264, 271 is 1


2. How to calculate the greatest common divisor of 306, 750, 264, 271?

We can find the highest common divisor of 306, 750, 264, 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 306, 750, 264, 271 i.e 1.


3. How can I use the GCD of 306, 750, 264, 271Calculator?

Out the numbers 306, 750, 264, 271 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.