Greatest Common Factor of 71/386, 830/879, 797/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/386, 830/879, 797/279

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 71/386,830/879,797/279

Given fractions are 71/386,830/879,797/279

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 71,830,797

Greatest Common Factor of Numerators i.e. GCF of 71,830,797 is 1 .

LCM of Denominators means LCM of 386,879,279 as per the given fractions.

LCM of 386,879,279 is 31554342 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,830,797

GCF of Fractions 71/386,830/879,797/279 is 1/31554342

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

Greatest Common Factor of 71,830,797 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,830,797 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Greatest Common Factor

We found the factors 71,830,797 . The biggest common factor number is the GCF number.
So the greatest common factor 71,830,797 is 1.

Lets's calculate LCM of 386,879,279

3 386, 879, 279
386, 293, 93

∴ So the LCM of the given numbers is 3 x 386 x 293 x 93 = 31554342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31554342

Therefore, the GCF of Fractions 71/386,830/879,797/279 is 1/31554342

Least Common Multiple of 386,879,279 with GCF Formula

Least Common Multiple of 386,879,279 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 386,879,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,879,279) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(386,879,279) x common factors =1 x 3 = 3

LCM(386,879,279) = ( 386 × 879 × 279 ) / 3

LCM(386,879,279) = 94663026 / 3

LCM(386,879,279) = 31554342


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 71/386, 830/879, 797/279

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 71/386, 830/879, 797/279?

Answer: GCF of Numerators as per given numbers 71/386, 830/879, 797/279 is

GCF of Numerators i.e. for 71,830,797 is 1

LCM of denominators i.e. for 386,879,279 is 31554342.

Thus, GCF of Fractions is 1/31554342.Finally, GCF of Fractions for 71/386, 830/879, 797/279 is 1/31554342.