Greatest Common Factor of 8/28, 48/53, 46/502, 877/439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/28, 48/53, 46/502, 877/439

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 8/28,48/53,46/502,877/439

Given fractions are 8/28,48/53,46/502,877/439

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 8,48,46,877

Greatest Common Factor of Numerators i.e. GCF of 8,48,46,877 is 1 .

LCM of Denominators means LCM of 28,53,502,439 as per the given fractions.

LCM of 28,53,502,439 is 163520476 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,48,46,877

GCF of Fractions 8/28,48/53,46/502,877/439 is 1/163520476

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

Greatest Common Factor of 8,48,46,877 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,48,46,877 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Greatest Common Factor

We found the factors 8,48,46,877 . The biggest common factor number is the GCF number.
So the greatest common factor 8,48,46,877 is 1.

Lets's calculate LCM of 28,53,502,439

2 28, 53, 502, 439
14, 53, 251, 439

∴ So the LCM of the given numbers is 2 x 14 x 53 x 251 x 439 = 163520476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163520476

Therefore, the GCF of Fractions 8/28,48/53,46/502,877/439 is 1/163520476

Least Common Multiple of 28,53,502,439 with GCF Formula

Least Common Multiple of 28,53,502,439 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 28,53,502,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,53,502,439) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(28,53,502,439) x common factors =1 x 2 = 2

LCM(28,53,502,439) = ( 28 × 53 × 502 × 439 ) / 2

LCM(28,53,502,439) = 327040952 / 2

LCM(28,53,502,439) = 163520476


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 8/28, 48/53, 46/502, 877/439

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 8/28, 48/53, 46/502, 877/439?

Answer: GCF of Numerators as per given numbers 8/28, 48/53, 46/502, 877/439 is

GCF of Numerators i.e. for 8,48,46,877 is 1

LCM of denominators i.e. for 28,53,502,439 is 163520476.

Thus, GCF of Fractions is 1/163520476.Finally, GCF of Fractions for 8/28, 48/53, 46/502, 877/439 is 1/163520476.