How to Find GCF of 5234/404, 2939/3076?

GCF of 5234/404, 2939/3076

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 5234/404, 2939/3076 i.e 1/310676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5234/404, 2939/3076.

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 5234/404,2939/3076?

Given fractions are 5234/404,2939/3076

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 5234/404,2939/3076, numerators are 5234,2939

Denominators are 404,3076

The GCF of 5234,2939 is 1 .

LCM of 404,3076 is 310676.

The greatest common factor of 5234/404,2939/3076 = [GCF of 5234,2939]/[LCM of 404,3076]= 1/310676

Therefore, the GCF of 5234/404,2939/3076 is 1/310676.

Greatest Common Factor of 5234,2939

To find the highest common factor of 5234,2939, we have to find the factors of both numbers and list the highest common factor.

The factors of 5234 are 1, 2, 2617, 5234

The factors of 2939 are 1, 2939

The HCF of 5234,2939 is 1.

Lets's calculate GCF of 5234,2939

Greatest Common Factor (GCF) of 5234,2939 By Common Division

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

Greatest Common Factor of 5234,2939 By Matching Biggest Common Factor Method

Now, list down the factors of 5234

1,2,2617,5234

Now, list down the factors of 2939

1,2939

Greatest Common Factor

We found the factors 5234,2939 . The biggest common factor number is the GCF number.
So the greatest common factor 5234,2939 is 1.

Lets's calculate LCM of 404,3076

Lowest Common Multiple of 404,3076 using Common Division

2	404, 3076
2	202, 1538
	101, 769

∴ So the LCM of the given numbers is 2 x 2 x 101 x 769 = 310676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/310676

Therefore, the GCF of Fractions 5234/404,2939/3076 is 1/310676

Least Common Multiple of 404,3076 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 404,3076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,3076) = 4

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

GCF(404,3076) x common factors =4 x 1 = 4

LCM(404,3076) = ( 404 × 3076 ) / 4

LCM(404,3076) = 1242704 / 4

LCM(404,3076) = 310676

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FAQs on GCF of Fractions of 5234/404, 2939/3076

1. What is the HCF of 5234,2939?

The HCF of 5234,2939 is 1

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 5234/404, 2939/3076?

Answer: GCF of Numerators as per given numbers 5234/404, 2939/3076 is

GCF of Numerators i.e. for 5234,2939 is 1

LCM of denominators i.e. for 404,3076 is 310676.

Thus, GCF of Fractions is 1/310676.Finally, GCF of Fractions for 5234/404, 2939/3076 is 1/310676.