How to Find GCF of 247/290, 4277/4460?

GCF of 247/290, 4277/4460

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 247/290, 4277/4460 i.e 13/129340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 247/290, 4277/4460.

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 247/290,4277/4460?

Given fractions are 247/290,4277/4460

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 247/290,4277/4460, numerators are 247,4277

Denominators are 290,4460

The GCF of 247,4277 is 13 .

LCM of 290,4460 is 129340.

The greatest common factor of 247/290,4277/4460 = [GCF of 247,4277]/[LCM of 290,4460]= 13/129340

Therefore, the GCF of 247/290,4277/4460 is 13/129340.

Greatest Common Factor of 247,4277

To find the highest common factor of 247,4277, 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 4277 are 1, 7, 13, 47, 91, 329, 611, 4277

The HCF of 247,4277 is 13.

Lets's calculate GCF of 247,4277

Greatest Common Factor (GCF) of 247,4277 By Common Division

13	247, 4277
	19, 329

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

Greatest Common Factor of 247,4277 By Matching Biggest Common Factor Method

Now, list down the factors of 247

1,13,19,247

Now, list down the factors of 4277

1,7,13,47,91,329,611,4277

Greatest Common Factor

We found the factors 247,4277 . The biggest common factor number is the GCF number.
So the greatest common factor 247,4277 is 13.

Lets's calculate LCM of 290,4460

Lowest Common Multiple of 290,4460 using Common Division

2	290, 4460
5	145, 2230
	29, 446

∴ So the LCM of the given numbers is 2 x 5 x 29 x 446 = 129340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/129340

Therefore, the GCF of Fractions 247/290,4277/4460 is 13/129340

Least Common Multiple of 290,4460 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 290,4460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,4460) = 10

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

GCF(290,4460) x common factors =10 x 1 = 10

LCM(290,4460) = ( 290 × 4460 ) / 10

LCM(290,4460) = 1293400 / 10

LCM(290,4460) = 129340

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FAQs on GCF of Fractions of 247/290, 4277/4460

1. What is the HCF of 247,4277?

The HCF of 247,4277 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 247/290, 4277/4460?

Answer: GCF of Numerators as per given numbers 247/290, 4277/4460 is

GCF of Numerators i.e. for 247,4277 is 13

LCM of denominators i.e. for 290,4460 is 129340.

Thus, GCF of Fractions is 13/129340.Finally, GCF of Fractions for 247/290, 4277/4460 is 13/129340.