How to Find GCF of 247/467, 130/274?

GCF of 247/467, 130/274

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 247/467, 130/274 i.e 13/127958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 247/467, 130/274.

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 247/467,130/274?

Given fractions are 247/467,130/274

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 247/467,130/274, numerators are 247,130

Denominators are 467,274

The GCF of 247,130 is 13 .

LCM of 467,274 is 127958.

The greatest common factor of 247/467,130/274 = [GCF of 247,130]/[LCM of 467,274]= 13/127958

Therefore, the GCF of 247/467,130/274 is 13/127958.

Greatest Common Factor of 247,130

To find the highest common factor of 247,130, we have to find the factors of both numbers and list the highest common factor.

The factors of 247 are 1, 13, 19, 247

The factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130

The HCF of 247,130 is 13.

Lets's calculate GCF of 247,130

Greatest Common Factor (GCF) of 247,130 By Common Division

13	247, 130
	19, 10

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 247,130 By Matching Biggest Common Factor Method

Now, list down the factors of 247

1,13,19,247

Now, list down the factors of 130

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 247,130 . The biggest common factor number is the GCF number.
So the greatest common factor 247,130 is 13.

Lets's calculate LCM of 467,274

Lowest Common Multiple of 467,274 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 127958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/127958

Therefore, the GCF of Fractions 247/467,130/274 is 13/127958

Least Common Multiple of 467,274 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 467,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,274) = 1

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

GCF(467,274) x common factors =1 x 1 = 1

LCM(467,274) = ( 467 × 274 ) / 1

LCM(467,274) = 127958 / 1

LCM(467,274) = 127958

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FAQs on GCF of Fractions of 247/467, 130/274

1. What is the HCF of 247,130?

The HCF of 247,130 is 13

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 247/467, 130/274?

Answer: GCF of Numerators as per given numbers 247/467, 130/274 is

GCF of Numerators i.e. for 247,130 is 13

LCM of denominators i.e. for 467,274 is 127958.

Thus, GCF of Fractions is 13/127958.Finally, GCF of Fractions for 247/467, 130/274 is 13/127958.