How to Find GCF of 4479/404, 4677/8140?

GCF of 4479/404, 4677/8140

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 4479/404, 4677/8140 i.e 3/822140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4479/404, 4677/8140.

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 4479/404,4677/8140?

Given fractions are 4479/404,4677/8140

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 4479/404,4677/8140, numerators are 4479,4677

Denominators are 404,8140

The GCF of 4479,4677 is 3 .

LCM of 404,8140 is 822140.

The greatest common factor of 4479/404,4677/8140 = [GCF of 4479,4677]/[LCM of 404,8140]= 3/822140

Therefore, the GCF of 4479/404,4677/8140 is 3/822140.

Greatest Common Factor of 4479,4677

To find the highest common factor of 4479,4677, we have to find the factors of both numbers and list the highest common factor.

The factors of 4479 are 1, 3, 1493, 4479

The factors of 4677 are 1, 3, 1559, 4677

The HCF of 4479,4677 is 3.

Lets's calculate GCF of 4479,4677

Greatest Common Factor (GCF) of 4479,4677 By Common Division

3	4479, 4677
	1493, 1559

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4479,4677 By Matching Biggest Common Factor Method

Now, list down the factors of 4479

1,3,1493,4479

Now, list down the factors of 4677

1,3,1559,4677

Greatest Common Factor

We found the factors 4479,4677 . The biggest common factor number is the GCF number.
So the greatest common factor 4479,4677 is 3.

Lets's calculate LCM of 404,8140

Lowest Common Multiple of 404,8140 using Common Division

2	404, 8140
2	202, 4070
	101, 2035

∴ So the LCM of the given numbers is 2 x 2 x 101 x 2035 = 822140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/822140

Therefore, the GCF of Fractions 4479/404,4677/8140 is 3/822140

Least Common Multiple of 404,8140 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 404,8140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,8140) = 4

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

GCF(404,8140) x common factors =4 x 1 = 4

LCM(404,8140) = ( 404 × 8140 ) / 4

LCM(404,8140) = 3288560 / 4

LCM(404,8140) = 822140

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FAQs on GCF of Fractions of 4479/404, 4677/8140

1. What is the HCF of 4479,4677?

The HCF of 4479,4677 is 3

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 4479/404, 4677/8140?

Answer: GCF of Numerators as per given numbers 4479/404, 4677/8140 is

GCF of Numerators i.e. for 4479,4677 is 3

LCM of denominators i.e. for 404,8140 is 822140.

Thus, GCF of Fractions is 3/822140.Finally, GCF of Fractions for 4479/404, 4677/8140 is 3/822140.