Greatest Common Factor of 47/46, 49/16, 30/78, 321/13

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 47/46, 49/16, 30/78, 321/13

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 47/46,49/16,30/78,321/13

Given fractions are 47/46,49/16,30/78,321/13

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 47,49,30,321

Greatest Common Factor of Numerators i.e. GCF of 47,49,30,321 is 1 .

LCM of Denominators means LCM of 46,16,78,13 as per the given fractions.

LCM of 46,16,78,13 is 14352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 47,49,30,321

GCF of Fractions 47/46,49/16,30/78,321/13 is 1/14352

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 47,49,30,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,49,30,321 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 47,49,30,321 . The biggest common factor number is the GCF number.
So the greatest common factor 47,49,30,321 is 1.

Lets's calculate LCM of 46,16,78,13

2 46, 16, 78, 13
13 23, 8, 39, 13
23, 8, 3, 1

∴ So the LCM of the given numbers is 2 x 13 x 23 x 8 x 3 x 1 = 14352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14352

Therefore, the GCF of Fractions 47/46,49/16,30/78,321/13 is 1/14352

Least Common Multiple of 46,16,78,13 with GCF Formula

Least Common Multiple of 46,16,78,13 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 46,16,78,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,16,78,13) = 1

common factors(in case of two or more numbers have common factors) = 52

GCF(46,16,78,13) x common factors =1 x 52 = 52

LCM(46,16,78,13) = ( 46 × 16 × 78 × 13 ) / 52

LCM(46,16,78,13) = 746304 / 52

LCM(46,16,78,13) = 14352


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 47/46, 49/16, 30/78, 321/13

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 47/46, 49/16, 30/78, 321/13?

Answer: GCF of Numerators as per given numbers 47/46, 49/16, 30/78, 321/13 is

GCF of Numerators i.e. for 47,49,30,321 is 1

LCM of denominators i.e. for 46,16,78,13 is 14352.

Thus, GCF of Fractions is 1/14352.Finally, GCF of Fractions for 47/46, 49/16, 30/78, 321/13 is 1/14352.