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GCD of 493, 112, 376 Calculator

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


Online GCD Calculator is useful to find the GCD of 493, 112, 376 quickly. Get the easiest ways to solve the greatest common divisor of 493, 112, 376 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 493, 112, 376 with Factoring?

Given Input numbers are 493, 112, 376

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

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376


GCD of numbers is the greatest common divisor

So, the GCD (493, 112, 376) = 1.

Find GCD of 493, 112, 376 using Prime Factorization

Given numbers are 493, 112, 376

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 376 are 2 x 2 x 2 x 47

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

Steps to Calculate GCD of 493, 112, 376 using LCM Formula

Given numbers are 493, 112, 376

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

Apply this formula for all numbers.

Step1:

LCM(493, 112) = 55216

GCD(493, 112) = ( 493 x 112 ) / 55216

= 493 / 112

= 493


Step2:

LCM(1, 376) = 376

GCD(1, 376) = ( 1 x 376 ) / 376

= 1 / 376

= 1


So, Greatest Common Divisor of 493, 112, 376 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 493, 112, 376

Given numbers are 493, 112, 376
The greatest common divisor of numbers 493, 112, 376 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 112, 376 is 1.

FAQs on GCD of 493, 112, 376 Calculator

1. What is the GCD of 493, 112, 376?

GCD of given numbers 493, 112, 376 is 1


2. How to calculate the greatest common divisor of 493, 112, 376?

We can find the highest common divisor of 493, 112, 376 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 493, 112, 376 i.e 1.


3. How can I use the GCD of 493, 112, 376Calculator?

Out the numbers 493, 112, 376 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.