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GCF of 4673/147, 6334/1479

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 4673/147, 6334/1479 i.e 1/72471 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4673/147, 6334/1479.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 4673/147,6334/1479?

Given fractions are 4673/147,6334/1479

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 4673/147,6334/1479, numerators are 4673,6334

Denominators are 147,1479

The GCF of 4673,6334 is 1 .

LCM of 147,1479 is 72471.

The greatest common factor of 4673/147,6334/1479 = [GCF of 4673,6334]/[LCM of 147,1479]= 1/72471

Therefore, the GCF of 4673/147,6334/1479 is 1/72471.

Greatest Common Factor of 4673,6334

To find the highest common factor of 4673,6334, we have to find the factors of both numbers and list the highest common factor.

The factors of 4673 are 1, 4673

The factors of 6334 are 1, 2, 3167, 6334

The HCF of 4673,6334 is 1.

Lets's calculate GCF of 4673,6334

Greatest Common Factor (GCF) of 4673,6334 By Common Division

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

Greatest Common Factor of 4673,6334 By Matching Biggest Common Factor Method

Greatest Common Factor of 4673,6334 By Matching Biggest Common Factor Method

Now, list down the factors of 4673

:

1,4673

Now, list down the factors of 6334

:

1,2,3167,6334

Greatest Common Factor

We found the factors 4673,6334 . The biggest common factor number is the GCF number.
So the greatest common factor 4673,6334 is 1.

Lets's calculate LCM of 147,1479

Lowest Common Multiple of 147,1479 using Common Division

3 147, 1479
49, 493

∴ So the LCM of the given numbers is 3 x 49 x 493 = 72471

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72471

Therefore, the GCF of Fractions 4673/147,6334/1479 is 1/72471

Least Common Multiple of 147,1479 with GCF Formula

Least Common Multiple of 147,1479 with GCF Formula

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

We need to calculate greatest common factor of 147,1479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(147,1479) = 3

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

GCF(147,1479) x common factors =3 x 1 = 3

LCM(147,1479) = ( 147 × 1479 ) / 3

LCM(147,1479) = 217413 / 3

LCM(147,1479) = 72471


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4673/147, 6334/1479

1. What is the HCF of 4673,6334?

The HCF of 4673,6334 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 4673/147, 6334/1479?

Answer: GCF of Numerators as per given numbers 4673/147, 6334/1479 is

GCF of Numerators i.e. for 4673,6334 is 1

LCM of denominators i.e. for 147,1479 is 72471.

Thus, GCF of Fractions is 1/72471.Finally, GCF of Fractions for 4673/147, 6334/1479 is 1/72471.