Greatest Common Factor of 67/711, 247/284, 747/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 67/711, 247/284, 747/871

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 67/711,247/284,747/871

Given fractions are 67/711,247/284,747/871

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 67,247,747

Greatest Common Factor of Numerators i.e. GCF of 67,247,747 is 1 .

LCM of Denominators means LCM of 711,284,871 as per the given fractions.

LCM of 711,284,871 is 175875804 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 67,247,747

GCF of Fractions 67/711,247/284,747/871 is 1/175875804

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

Greatest Common Factor of 67,247,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,247,747 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 67,247,747 . The biggest common factor number is the GCF number.
So the greatest common factor 67,247,747 is 1.

Lets's calculate LCM of 711,284,871

Given numbers has no common factors except 1. So, there LCM is their product i.e 175875804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175875804

Therefore, the GCF of Fractions 67/711,247/284,747/871 is 1/175875804

Least Common Multiple of 711,284,871 with GCF Formula

Least Common Multiple of 711,284,871 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 711,284,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,284,871) = 1

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

GCF(711,284,871) x common factors =1 x 1 = 1

LCM(711,284,871) = ( 711 × 284 × 871 ) / 1

LCM(711,284,871) = 175875804 / 1

LCM(711,284,871) = 175875804


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 67/711, 247/284, 747/871

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 67/711, 247/284, 747/871?

Answer: GCF of Numerators as per given numbers 67/711, 247/284, 747/871 is

GCF of Numerators i.e. for 67,247,747 is 1

LCM of denominators i.e. for 711,284,871 is 175875804.

Thus, GCF of Fractions is 1/175875804.Finally, GCF of Fractions for 67/711, 247/284, 747/871 is 1/175875804.