Greatest Common Factor of 7074/834, 8256/9195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7074/834, 8256/9195

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 7074/834,8256/9195

Given fractions are 7074/834,8256/9195

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 7074,8256

Greatest Common Factor of Numerators i.e. GCF of 7074,8256 is 6 .

LCM of Denominators means LCM of 834,9195 as per the given fractions.

LCM of 834,9195 is 2556210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7074,8256

GCF of Fractions 7074/834,8256/9195 is 6/2556210

2 7074, 8256
3 3537, 4128
1179, 1376

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 7074,8256 By Matching Biggest Common Factor Method

Greatest Common Factor of 7074,8256 By Matching Biggest Common Factor Method

Factors of 7074

List of positive integer factors of 7074 that divides 7074 without a remainder.

1,2,3,6,9,18,27,54,131,262,393,786,1179,2358,3537,7074

Factors of 8256

List of positive integer factors of 8256 that divides 8256 without a remainder.

1,2,3,4,6,8,12,16,24,32,43,48,64,86,96,129,172,192,258,344,516,688,1032,1376,2064,2752,4128,8256

Greatest Common Factor

We found the factors 7074,8256 . The biggest common factor number is the GCF number.
So the greatest common factor 7074,8256 is 6.

Lets's calculate LCM of 834,9195

3 834, 9195
278, 3065

∴ So the LCM of the given numbers is 3 x 278 x 3065 = 2556210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2556210

Therefore, the GCF of Fractions 7074/834,8256/9195 is 6/2556210

Least Common Multiple of 834,9195 with GCF Formula

Least Common Multiple of 834,9195 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 834,9195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,9195) = 3

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

GCF(834,9195) x common factors =3 x 1 = 3

LCM(834,9195) = ( 834 × 9195 ) / 3

LCM(834,9195) = 7668630 / 3

LCM(834,9195) = 2556210


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 7074/834, 8256/9195

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 7074/834, 8256/9195?

Answer: GCF of Numerators as per given numbers 7074/834, 8256/9195 is

GCF of Numerators i.e. for 7074,8256 is 6

LCM of denominators i.e. for 834,9195 is 2556210.

Thus, GCF of Fractions is 6/2556210.Finally, GCF of Fractions for 7074/834, 8256/9195 is 6/2556210.