How to Find GCF of 471/404, 5872/308?

GCF of 471/404, 5872/308

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 471/404, 5872/308 i.e 1/31108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 471/404, 5872/308.

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 471/404,5872/308?

Given fractions are 471/404,5872/308

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 471/404,5872/308, numerators are 471,5872

Denominators are 404,308

The GCF of 471,5872 is 1 .

LCM of 404,308 is 31108.

The greatest common factor of 471/404,5872/308 = [GCF of 471,5872]/[LCM of 404,308]= 1/31108

Therefore, the GCF of 471/404,5872/308 is 1/31108.

Greatest Common Factor of 471,5872

To find the highest common factor of 471,5872, we have to find the factors of both numbers and list the highest common factor.

The factors of 471 are 1, 3, 157, 471

The factors of 5872 are 1, 2, 4, 8, 16, 367, 734, 1468, 2936, 5872

The HCF of 471,5872 is 1.

Lets's calculate GCF of 471,5872

Greatest Common Factor (GCF) of 471,5872 By Common Division

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

Greatest Common Factor of 471,5872 By Matching Biggest Common Factor Method

Now, list down the factors of 471

1,3,157,471

Now, list down the factors of 5872

1,2,4,8,16,367,734,1468,2936,5872

Greatest Common Factor

We found the factors 471,5872 . The biggest common factor number is the GCF number.
So the greatest common factor 471,5872 is 1.

Lets's calculate LCM of 404,308

Lowest Common Multiple of 404,308 using Common Division

2	404, 308
2	202, 154
	101, 77

∴ So the LCM of the given numbers is 2 x 2 x 101 x 77 = 31108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31108

Therefore, the GCF of Fractions 471/404,5872/308 is 1/31108

Least Common Multiple of 404,308 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 404,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,308) = 4

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

GCF(404,308) x common factors =4 x 1 = 4

LCM(404,308) = ( 404 × 308 ) / 4

LCM(404,308) = 124432 / 4

LCM(404,308) = 31108

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FAQs on GCF of Fractions of 471/404, 5872/308

1. What is the HCF of 471,5872?

The HCF of 471,5872 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 471/404, 5872/308?

Answer: GCF of Numerators as per given numbers 471/404, 5872/308 is

GCF of Numerators i.e. for 471,5872 is 1

LCM of denominators i.e. for 404,308 is 31108.

Thus, GCF of Fractions is 1/31108.Finally, GCF of Fractions for 471/404, 5872/308 is 1/31108.