Greatest Common Factor of 8811/950, 7779/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8811/950, 7779/506

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 8811/950,7779/506

Given fractions are 8811/950,7779/506

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 8811,7779

Greatest Common Factor of Numerators i.e. GCF of 8811,7779 is 3 .

LCM of Denominators means LCM of 950,506 as per the given fractions.

LCM of 950,506 is 240350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8811,7779

GCF of Fractions 8811/950,7779/506 is 3/240350

3 8811, 7779
2937, 2593

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

Greatest Common Factor of 8811,7779 By Matching Biggest Common Factor Method

Greatest Common Factor of 8811,7779 By Matching Biggest Common Factor Method

Factors of 8811

List of positive integer factors of 8811 that divides 8811 without a remainder.

1,3,9,11,33,89,99,267,801,979,2937,8811

Factors of 7779

List of positive integer factors of 7779 that divides 7779 without a remainder.

1,3,2593,7779

Greatest Common Factor

We found the factors 8811,7779 . The biggest common factor number is the GCF number.
So the greatest common factor 8811,7779 is 3.

Lets's calculate LCM of 950,506

2 950, 506
475, 253

∴ So the LCM of the given numbers is 2 x 475 x 253 = 240350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/240350

Therefore, the GCF of Fractions 8811/950,7779/506 is 3/240350

Least Common Multiple of 950,506 with GCF Formula

Least Common Multiple of 950,506 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 950,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,506) = 2

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

GCF(950,506) x common factors =2 x 1 = 2

LCM(950,506) = ( 950 × 506 ) / 2

LCM(950,506) = 480700 / 2

LCM(950,506) = 240350


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 8811/950, 7779/506

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 8811/950, 7779/506?

Answer: GCF of Numerators as per given numbers 8811/950, 7779/506 is

GCF of Numerators i.e. for 8811,7779 is 3

LCM of denominators i.e. for 950,506 is 240350.

Thus, GCF of Fractions is 3/240350.Finally, GCF of Fractions for 8811/950, 7779/506 is 3/240350.