Greatest Common Factor of 279/705, 8157/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 279/705, 8157/734

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 279/705,8157/734

Given fractions are 279/705,8157/734

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 279,8157

Greatest Common Factor of Numerators i.e. GCF of 279,8157 is 3 .

LCM of Denominators means LCM of 705,734 as per the given fractions.

LCM of 705,734 is 517470 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 279,8157

GCF of Fractions 279/705,8157/734 is 3/517470

3 279, 8157
93, 2719

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 279,8157 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,8157 By Matching Biggest Common Factor Method

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 8157

List of positive integer factors of 8157 that divides 8157 without a remainder.

1,3,2719,8157

Greatest Common Factor

We found the factors 279,8157 . The biggest common factor number is the GCF number.
So the greatest common factor 279,8157 is 3.

Lets's calculate LCM of 705,734

Given numbers has no common factors except 1. So, there LCM is their product i.e 517470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/517470

Therefore, the GCF of Fractions 279/705,8157/734 is 3/517470

Least Common Multiple of 705,734 with GCF Formula

Least Common Multiple of 705,734 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 705,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,734) = 1

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

GCF(705,734) x common factors =1 x 1 = 1

LCM(705,734) = ( 705 × 734 ) / 1

LCM(705,734) = 517470 / 1

LCM(705,734) = 517470


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 279/705, 8157/734

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 279/705, 8157/734?

Answer: GCF of Numerators as per given numbers 279/705, 8157/734 is

GCF of Numerators i.e. for 279,8157 is 3

LCM of denominators i.e. for 705,734 is 517470.

Thus, GCF of Fractions is 3/517470.Finally, GCF of Fractions for 279/705, 8157/734 is 3/517470.