Greatest Common Factor of 546/14, 4790/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 546/14, 4790/481

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 546/14,4790/481

Given fractions are 546/14,4790/481

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 546,4790

Greatest Common Factor of Numerators i.e. GCF of 546,4790 is 2 .

LCM of Denominators means LCM of 14,481 as per the given fractions.

LCM of 14,481 is 6734 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 546,4790

GCF of Fractions 546/14,4790/481 is 2/6734

2 546, 4790
273, 2395

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 546,4790 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,4790 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 4790

List of positive integer factors of 4790 that divides 4790 without a remainder.

1,2,5,10,479,958,2395,4790

Greatest Common Factor

We found the factors 546,4790 . The biggest common factor number is the GCF number.
So the greatest common factor 546,4790 is 2.

Lets's calculate LCM of 14,481

Given numbers has no common factors except 1. So, there LCM is their product i.e 6734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6734

Therefore, the GCF of Fractions 546/14,4790/481 is 2/6734

Least Common Multiple of 14,481 with GCF Formula

Least Common Multiple of 14,481 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 14,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,481) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(14,481) x common factors =1 x 1 = 1

LCM(14,481) = ( 14 × 481 ) / 1

LCM(14,481) = 6734 / 1

LCM(14,481) = 6734


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 546/14, 4790/481

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 546/14, 4790/481?

Answer: GCF of Numerators as per given numbers 546/14, 4790/481 is

GCF of Numerators i.e. for 546,4790 is 2

LCM of denominators i.e. for 14,481 is 6734.

Thus, GCF of Fractions is 2/6734.Finally, GCF of Fractions for 546/14, 4790/481 is 2/6734.