Greatest Common Factor of 847/711, 5761/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 847/711, 5761/829

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 847/711,5761/829

Given fractions are 847/711,5761/829

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 847,5761

Greatest Common Factor of Numerators i.e. GCF of 847,5761 is 7 .

LCM of Denominators means LCM of 711,829 as per the given fractions.

LCM of 711,829 is 589419 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 847,5761

GCF of Fractions 847/711,5761/829 is 7/589419

7 847, 5761
121, 823

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 847,5761 By Matching Biggest Common Factor Method

Greatest Common Factor of 847,5761 By Matching Biggest Common Factor Method

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 5761

List of positive integer factors of 5761 that divides 5761 without a remainder.

1,7,823,5761

Greatest Common Factor

We found the factors 847,5761 . The biggest common factor number is the GCF number.
So the greatest common factor 847,5761 is 7.

Lets's calculate LCM of 711,829

Given numbers has no common factors except 1. So, there LCM is their product i.e 589419

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/589419

Therefore, the GCF of Fractions 847/711,5761/829 is 7/589419

Least Common Multiple of 711,829 with GCF Formula

Least Common Multiple of 711,829 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 711,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,829) = 1

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

GCF(711,829) x common factors =1 x 1 = 1

LCM(711,829) = ( 711 × 829 ) / 1

LCM(711,829) = 589419 / 1

LCM(711,829) = 589419


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 847/711, 5761/829

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 847/711, 5761/829?

Answer: GCF of Numerators as per given numbers 847/711, 5761/829 is

GCF of Numerators i.e. for 847,5761 is 7

LCM of denominators i.e. for 711,829 is 589419.

Thus, GCF of Fractions is 7/589419.Finally, GCF of Fractions for 847/711, 5761/829 is 7/589419.