Greatest Common Factor of 743/848, 819/844, 253/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 743/848, 819/844, 253/386

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 743/848,819/844,253/386

Given fractions are 743/848,819/844,253/386

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 743,819,253

Greatest Common Factor of Numerators i.e. GCF of 743,819,253 is 1 .

LCM of Denominators means LCM of 848,844,386 as per the given fractions.

LCM of 848,844,386 is 34533104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 743,819,253

GCF of Fractions 743/848,819/844,253/386 is 1/34533104

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

Greatest Common Factor of 743,819,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,819,253 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 743,819,253 . The biggest common factor number is the GCF number.
So the greatest common factor 743,819,253 is 1.

Lets's calculate LCM of 848,844,386

2 848, 844, 386
2 424, 422, 193
212, 211, 193

∴ So the LCM of the given numbers is 2 x 2 x 212 x 211 x 193 = 34533104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34533104

Therefore, the GCF of Fractions 743/848,819/844,253/386 is 1/34533104

Least Common Multiple of 848,844,386 with GCF Formula

Least Common Multiple of 848,844,386 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 848,844,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(848,844,386) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(848,844,386) x common factors =2 x 4 = 8

LCM(848,844,386) = ( 848 × 844 × 386 ) / 8

LCM(848,844,386) = 276264832 / 8

LCM(848,844,386) = 34533104


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 743/848, 819/844, 253/386

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 743/848, 819/844, 253/386?

Answer: GCF of Numerators as per given numbers 743/848, 819/844, 253/386 is

GCF of Numerators i.e. for 743,819,253 is 1

LCM of denominators i.e. for 848,844,386 is 34533104.

Thus, GCF of Fractions is 1/34533104.Finally, GCF of Fractions for 743/848, 819/844, 253/386 is 1/34533104.