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GCD of 993, 240, 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 993, 240, 71 quickly. Get the easiest ways to solve the greatest common divisor of 993, 240, 71 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 993, 240, 71 with Factoring?

Given Input numbers are 993, 240, 71

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

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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 (993, 240, 71) = 1.

Find GCD of 993, 240, 71 using Prime Factorization

Given numbers are 993, 240, 71

The list of prime factors of all numbers are

Prime factors of 993 are 3 x 331

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

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 993, 240, 71 using LCM Formula

Given numbers are 993, 240, 71

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

Apply this formula for all numbers.

Step1:

LCM(993, 240) = 79440

GCD(993, 240) = ( 993 x 240 ) / 79440

= 993 / 240

= 993


Step2:

LCM(3, 71) = 213

GCD(3, 71) = ( 3 x 71 ) / 213

= 3 / 71

= 3


So, Greatest Common Divisor of 993, 240, 71 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 993, 240, 71

Given numbers are 993, 240, 71
The greatest common divisor of numbers 993, 240, 71 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 240, 71 is 1.

FAQs on GCD of 993, 240, 71 Calculator

1. What is the GCD of 993, 240, 71?

GCD of given numbers 993, 240, 71 is 1


2. How to calculate the greatest common divisor of 993, 240, 71?

We can find the highest common divisor of 993, 240, 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 993, 240, 71 i.e 1.


3. How can I use the GCD of 993, 240, 71Calculator?

Out the numbers 993, 240, 71 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.