Greatest Common Factor of 7447/99, 8074/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7447/99, 8074/705

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 7447/99,8074/705

Given fractions are 7447/99,8074/705

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 7447,8074

Greatest Common Factor of Numerators i.e. GCF of 7447,8074 is 11 .

LCM of Denominators means LCM of 99,705 as per the given fractions.

LCM of 99,705 is 23265 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7447,8074

GCF of Fractions 7447/99,8074/705 is 11/23265

11 7447, 8074
677, 734

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 7447,8074 By Matching Biggest Common Factor Method

Greatest Common Factor of 7447,8074 By Matching Biggest Common Factor Method

Factors of 7447

List of positive integer factors of 7447 that divides 7447 without a remainder.

1,11,677,7447

Factors of 8074

List of positive integer factors of 8074 that divides 8074 without a remainder.

1,2,11,22,367,734,4037,8074

Greatest Common Factor

We found the factors 7447,8074 . The biggest common factor number is the GCF number.
So the greatest common factor 7447,8074 is 11.

Lets's calculate LCM of 99,705

3 99, 705
33, 235

∴ So the LCM of the given numbers is 3 x 33 x 235 = 23265

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/23265

Therefore, the GCF of Fractions 7447/99,8074/705 is 11/23265

Least Common Multiple of 99,705 with GCF Formula

Least Common Multiple of 99,705 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 99,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,705) = 3

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

GCF(99,705) x common factors =3 x 1 = 3

LCM(99,705) = ( 99 × 705 ) / 3

LCM(99,705) = 69795 / 3

LCM(99,705) = 23265


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 7447/99, 8074/705

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 7447/99, 8074/705?

Answer: GCF of Numerators as per given numbers 7447/99, 8074/705 is

GCF of Numerators i.e. for 7447,8074 is 11

LCM of denominators i.e. for 99,705 is 23265.

Thus, GCF of Fractions is 11/23265.Finally, GCF of Fractions for 7447/99, 8074/705 is 11/23265.