How to Find GCF of 28/332, 3978/5404?

GCF of 28/332, 3978/5404

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 28/332, 3978/5404 i.e 2/448532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/332, 3978/5404.

Enter two or more fractions separated by "commas"

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

What is the GCF of 28/332,3978/5404?

Given fractions are 28/332,3978/5404

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 28/332,3978/5404, numerators are 28,3978

Denominators are 332,5404

The GCF of 28,3978 is 2 .

LCM of 332,5404 is 448532.

The greatest common factor of 28/332,3978/5404 = [GCF of 28,3978]/[LCM of 332,5404]= 2/448532

Therefore, the GCF of 28/332,3978/5404 is 2/448532.

Greatest Common Factor of 28,3978

To find the highest common factor of 28,3978, 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 3978 are 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989, 3978

The HCF of 28,3978 is 2.

Lets's calculate GCF of 28,3978

Greatest Common Factor (GCF) of 28,3978 By Common Division

2	28, 3978
	14, 1989

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

Greatest Common Factor of 28,3978 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 3978

1,2,3,6,9,13,17,18,26,34,39,51,78,102,117,153,221,234,306,442,663,1326,1989,3978

Greatest Common Factor

We found the factors 28,3978 . The biggest common factor number is the GCF number.
So the greatest common factor 28,3978 is 2.

Lets's calculate LCM of 332,5404

Lowest Common Multiple of 332,5404 using Common Division

2	332, 5404
2	166, 2702
	83, 1351

∴ So the LCM of the given numbers is 2 x 2 x 83 x 1351 = 448532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/448532

Therefore, the GCF of Fractions 28/332,3978/5404 is 2/448532

Least Common Multiple of 332,5404 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 332,5404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(332,5404) = 4

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

GCF(332,5404) x common factors =4 x 1 = 4

LCM(332,5404) = ( 332 × 5404 ) / 4

LCM(332,5404) = 1794128 / 4

LCM(332,5404) = 448532

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FAQs on GCF of Fractions of 28/332, 3978/5404

1. What is the HCF of 28,3978?

The HCF of 28,3978 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 28/332, 3978/5404?

Answer: GCF of Numerators as per given numbers 28/332, 3978/5404 is

GCF of Numerators i.e. for 28,3978 is 2

LCM of denominators i.e. for 332,5404 is 448532.

Thus, GCF of Fractions is 2/448532.Finally, GCF of Fractions for 28/332, 3978/5404 is 2/448532.