Greatest Common Factor of 304/14, 703/1646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 304/14, 703/1646

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 304/14,703/1646

Given fractions are 304/14,703/1646

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 304,703

Greatest Common Factor of Numerators i.e. GCF of 304,703 is 19 .

LCM of Denominators means LCM of 14,1646 as per the given fractions.

LCM of 14,1646 is 11522 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 304,703

GCF of Fractions 304/14,703/1646 is 19/11522

19 304, 703
16, 37

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 304,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,703 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 304,703 . The biggest common factor number is the GCF number.
So the greatest common factor 304,703 is 19.

Lets's calculate LCM of 14,1646

2 14, 1646
7, 823

∴ So the LCM of the given numbers is 2 x 7 x 823 = 11522

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/11522

Therefore, the GCF of Fractions 304/14,703/1646 is 19/11522

Least Common Multiple of 14,1646 with GCF Formula

Least Common Multiple of 14,1646 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 14,1646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,1646) = 2

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

GCF(14,1646) x common factors =2 x 1 = 2

LCM(14,1646) = ( 14 × 1646 ) / 2

LCM(14,1646) = 23044 / 2

LCM(14,1646) = 11522


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 304/14, 703/1646

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 304/14, 703/1646?

Answer: GCF of Numerators as per given numbers 304/14, 703/1646 is

GCF of Numerators i.e. for 304,703 is 19

LCM of denominators i.e. for 14,1646 is 11522.

Thus, GCF of Fractions is 19/11522.Finally, GCF of Fractions for 304/14, 703/1646 is 19/11522.