Greatest Common Factor of 6793/74, 3347/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6793/74, 3347/574

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 6793/74,3347/574

Given fractions are 6793/74,3347/574

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 6793,3347

Greatest Common Factor of Numerators i.e. GCF of 6793,3347 is 1 .

LCM of Denominators means LCM of 74,574 as per the given fractions.

LCM of 74,574 is 21238 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6793,3347

GCF of Fractions 6793/74,3347/574 is 1/21238

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

Greatest Common Factor of 6793,3347 By Matching Biggest Common Factor Method

Greatest Common Factor of 6793,3347 By Matching Biggest Common Factor Method

Factors of 6793

List of positive integer factors of 6793 that divides 6793 without a remainder.

1,6793

Factors of 3347

List of positive integer factors of 3347 that divides 3347 without a remainder.

1,3347

Greatest Common Factor

We found the factors 6793,3347 . The biggest common factor number is the GCF number.
So the greatest common factor 6793,3347 is 1.

Lets's calculate LCM of 74,574

2 74, 574
37, 287

∴ So the LCM of the given numbers is 2 x 37 x 287 = 21238

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21238

Therefore, the GCF of Fractions 6793/74,3347/574 is 1/21238

Least Common Multiple of 74,574 with GCF Formula

Least Common Multiple of 74,574 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 74,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,574) = 2

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

GCF(74,574) x common factors =2 x 1 = 2

LCM(74,574) = ( 74 × 574 ) / 2

LCM(74,574) = 42476 / 2

LCM(74,574) = 21238


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 6793/74, 3347/574

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 6793/74, 3347/574?

Answer: GCF of Numerators as per given numbers 6793/74, 3347/574 is

GCF of Numerators i.e. for 6793,3347 is 1

LCM of denominators i.e. for 74,574 is 21238.

Thus, GCF of Fractions is 1/21238.Finally, GCF of Fractions for 6793/74, 3347/574 is 1/21238.