Greatest Common Factor of 71/802, 239/815, 749/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/802, 239/815, 749/160

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 71/802,239/815,749/160

Given fractions are 71/802,239/815,749/160

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 71,239,749

Greatest Common Factor of Numerators i.e. GCF of 71,239,749 is 1 .

LCM of Denominators means LCM of 802,815,160 as per the given fractions.

LCM of 802,815,160 is 10458080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,239,749

GCF of Fractions 71/802,239/815,749/160 is 1/10458080

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

Greatest Common Factor of 71,239,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,239,749 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 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 71,239,749 . The biggest common factor number is the GCF number.
So the greatest common factor 71,239,749 is 1.

Lets's calculate LCM of 802,815,160

2 802, 815, 160
5 401, 815, 80
401, 163, 16

∴ So the LCM of the given numbers is 2 x 5 x 401 x 163 x 16 = 10458080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10458080

Therefore, the GCF of Fractions 71/802,239/815,749/160 is 1/10458080

Least Common Multiple of 802,815,160 with GCF Formula

Least Common Multiple of 802,815,160 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 802,815,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,815,160) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(802,815,160) x common factors =1 x 10 = 10

LCM(802,815,160) = ( 802 × 815 × 160 ) / 10

LCM(802,815,160) = 104580800 / 10

LCM(802,815,160) = 10458080


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 71/802, 239/815, 749/160

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 71/802, 239/815, 749/160?

Answer: GCF of Numerators as per given numbers 71/802, 239/815, 749/160 is

GCF of Numerators i.e. for 71,239,749 is 1

LCM of denominators i.e. for 802,815,160 is 10458080.

Thus, GCF of Fractions is 1/10458080.Finally, GCF of Fractions for 71/802, 239/815, 749/160 is 1/10458080.