LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 28/108, 50/5208

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 28/108, 50/5208 i.e 2/46872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/108, 50/5208.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 28/108,50/5208?

Given fractions are 28/108,50/5208

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 28/108,50/5208, numerators are 28,50

Denominators are 108,5208

The GCF of 28,50 is 2 .

LCM of 108,5208 is 46872.

The greatest common factor of 28/108,50/5208 = [GCF of 28,50]/[LCM of 108,5208]= 2/46872

Therefore, the GCF of 28/108,50/5208 is 2/46872.

Greatest Common Factor of 28,50

To find the highest common factor of 28,50, we have to find the factors of both numbers and list the highest common factor.

The factors of 28 are 1, 2, 4, 7, 14, 28

The factors of 50 are 1, 2, 5, 10, 25, 50

The HCF of 28,50 is 2.

Lets's calculate GCF of 28,50

Greatest Common Factor (GCF) of 28,50 By Common Division

2 28, 50
14, 25

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

Greatest Common Factor of 28,50 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,50 By Matching Biggest Common Factor Method

Now, list down the factors of 28

:

1,2,4,7,14,28

Now, list down the factors of 50

:

1,2,5,10,25,50

Greatest Common Factor

We found the factors 28,50 . The biggest common factor number is the GCF number.
So the greatest common factor 28,50 is 2.

Lets's calculate LCM of 108,5208

Lowest Common Multiple of 108,5208 using Common Division

2 108, 5208
2 54, 2604
3 27, 1302
9, 434

∴ So the LCM of the given numbers is 2 x 2 x 3 x 9 x 434 = 46872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/46872

Therefore, the GCF of Fractions 28/108,50/5208 is 2/46872

Least Common Multiple of 108,5208 with GCF Formula

Least Common Multiple of 108,5208 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 108,5208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,5208) = 12

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

GCF(108,5208) x common factors =12 x 1 = 12

LCM(108,5208) = ( 108 × 5208 ) / 12

LCM(108,5208) = 562464 / 12

LCM(108,5208) = 46872


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 28/108, 50/5208

1. What is the HCF of 28,50?

The HCF of 28,50 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 28/108, 50/5208?

Answer: GCF of Numerators as per given numbers 28/108, 50/5208 is

GCF of Numerators i.e. for 28,50 is 2

LCM of denominators i.e. for 108,5208 is 46872.

Thus, GCF of Fractions is 2/46872.Finally, GCF of Fractions for 28/108, 50/5208 is 2/46872.