Greatest Common Factor of 4878/974, 8728/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4878/974, 8728/506

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 4878/974,8728/506

Given fractions are 4878/974,8728/506

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 4878,8728

Greatest Common Factor of Numerators i.e. GCF of 4878,8728 is 2 .

LCM of Denominators means LCM of 974,506 as per the given fractions.

LCM of 974,506 is 246422 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4878,8728

GCF of Fractions 4878/974,8728/506 is 2/246422

2 4878, 8728
2439, 4364

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4878,8728 By Matching Biggest Common Factor Method

Greatest Common Factor of 4878,8728 By Matching Biggest Common Factor Method

Factors of 4878

List of positive integer factors of 4878 that divides 4878 without a remainder.

1,2,3,6,9,18,271,542,813,1626,2439,4878

Factors of 8728

List of positive integer factors of 8728 that divides 8728 without a remainder.

1,2,4,8,1091,2182,4364,8728

Greatest Common Factor

We found the factors 4878,8728 . The biggest common factor number is the GCF number.
So the greatest common factor 4878,8728 is 2.

Lets's calculate LCM of 974,506

2 974, 506
487, 253

∴ So the LCM of the given numbers is 2 x 487 x 253 = 246422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/246422

Therefore, the GCF of Fractions 4878/974,8728/506 is 2/246422

Least Common Multiple of 974,506 with GCF Formula

Least Common Multiple of 974,506 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 974,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,506) = 2

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

GCF(974,506) x common factors =2 x 1 = 2

LCM(974,506) = ( 974 × 506 ) / 2

LCM(974,506) = 492844 / 2

LCM(974,506) = 246422


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 4878/974, 8728/506

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 4878/974, 8728/506?

Answer: GCF of Numerators as per given numbers 4878/974, 8728/506 is

GCF of Numerators i.e. for 4878,8728 is 2

LCM of denominators i.e. for 974,506 is 246422.

Thus, GCF of Fractions is 2/246422.Finally, GCF of Fractions for 4878/974, 8728/506 is 2/246422.