Greatest Common Factor of 329/14, 705/7848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 329/14, 705/7848

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 329/14,705/7848

Given fractions are 329/14,705/7848

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 329,705

Greatest Common Factor of Numerators i.e. GCF of 329,705 is 47 .

LCM of Denominators means LCM of 14,7848 as per the given fractions.

LCM of 14,7848 is 54936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 329,705

GCF of Fractions 329/14,705/7848 is 47/54936

47 329, 705
7, 15

∴ So the GCF of the given numbers is 47 = 47

Greatest Common Factor of 329,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 329,705 By Matching Biggest Common Factor Method

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 329,705 . The biggest common factor number is the GCF number.
So the greatest common factor 329,705 is 47.

Lets's calculate LCM of 14,7848

2 14, 7848
7, 3924

∴ So the LCM of the given numbers is 2 x 7 x 3924 = 54936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/54936

Therefore, the GCF of Fractions 329/14,705/7848 is 47/54936

Least Common Multiple of 14,7848 with GCF Formula

Least Common Multiple of 14,7848 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 14,7848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,7848) = 2

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

GCF(14,7848) x common factors =2 x 1 = 2

LCM(14,7848) = ( 14 × 7848 ) / 2

LCM(14,7848) = 109872 / 2

LCM(14,7848) = 54936


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 329/14, 705/7848

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 329/14, 705/7848?

Answer: GCF of Numerators as per given numbers 329/14, 705/7848 is

GCF of Numerators i.e. for 329,705 is 47

LCM of denominators i.e. for 14,7848 is 54936.

Thus, GCF of Fractions is 47/54936.Finally, GCF of Fractions for 329/14, 705/7848 is 47/54936.