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GCD of 739, 264, 71 Calculator

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


Online GCD Calculator is useful to find the GCD of 739, 264, 71 quickly. Get the easiest ways to solve the greatest common divisor of 739, 264, 71 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 739, 264, 71 with Factoring?

Given Input numbers are 739, 264, 71

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

Divisors of 739 :

The positive integer divisors of 739 that completely divides 739 are.

1, 739

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 71 :

The positive integer divisors of 71 that completely divides 71 are.

1, 71


GCD of numbers is the greatest common divisor

So, the GCD (739, 264, 71) = 1.

Find GCD of 739, 264, 71 using Prime Factorization

Given numbers are 739, 264, 71

The list of prime factors of all numbers are

Prime factors of 739 are 739

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

Prime factors of 71 are 71

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

Steps to Calculate GCD of 739, 264, 71 using LCM Formula

Given numbers are 739, 264, 71

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

Apply this formula for all numbers.

Step1:

LCM(739, 264) = 195096

GCD(739, 264) = ( 739 x 264 ) / 195096

= 739 / 264

= 739


Step2:

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

= 1 / 71

= 1


So, Greatest Common Divisor of 739, 264, 71 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 739, 264, 71

Given numbers are 739, 264, 71
The greatest common divisor of numbers 739, 264, 71 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 739, 264, 71 is 1.

FAQs on GCD of 739, 264, 71 Calculator

1. What is the GCD of 739, 264, 71?

GCD of given numbers 739, 264, 71 is 1


2. How to calculate the greatest common divisor of 739, 264, 71?

We can find the highest common divisor of 739, 264, 71 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 739, 264, 71 i.e 1.


3. How can I use the GCD of 739, 264, 71Calculator?

Out the numbers 739, 264, 71 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.