Greatest Common Factor of 994/809, 434/339, 266/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 994/809, 434/339, 266/677

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 994/809,434/339,266/677

Given fractions are 994/809,434/339,266/677

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 994,434,266

Greatest Common Factor of Numerators i.e. GCF of 994,434,266 is 14 .

LCM of Denominators means LCM of 809,339,677 as per the given fractions.

LCM of 809,339,677 is 185667927 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 994,434,266

GCF of Fractions 994/809,434/339,266/677 is 14/185667927

2 994, 434, 266
7 497, 217, 133
71, 31, 19

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 994,434,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,434,266 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 994,434,266 . The biggest common factor number is the GCF number.
So the greatest common factor 994,434,266 is 14.

Lets's calculate LCM of 809,339,677

Given numbers has no common factors except 1. So, there LCM is their product i.e 185667927

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/185667927

Therefore, the GCF of Fractions 994/809,434/339,266/677 is 14/185667927

Least Common Multiple of 809,339,677 with GCF Formula

Least Common Multiple of 809,339,677 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 809,339,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,339,677) = 1

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

GCF(809,339,677) x common factors =1 x 1 = 1

LCM(809,339,677) = ( 809 × 339 × 677 ) / 1

LCM(809,339,677) = 185667927 / 1

LCM(809,339,677) = 185667927


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 994/809, 434/339, 266/677

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 994/809, 434/339, 266/677?

Answer: GCF of Numerators as per given numbers 994/809, 434/339, 266/677 is

GCF of Numerators i.e. for 994,434,266 is 14

LCM of denominators i.e. for 809,339,677 is 185667927.

Thus, GCF of Fractions is 14/185667927.Finally, GCF of Fractions for 994/809, 434/339, 266/677 is 14/185667927.