How to Find GCF of 5458/404, 5554/2809?

GCF of 5458/404, 5554/2809

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 5458/404, 5554/2809 i.e 2/1134836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5458/404, 5554/2809.

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 5458/404,5554/2809?

Given fractions are 5458/404,5554/2809

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 5458/404,5554/2809, numerators are 5458,5554

Denominators are 404,2809

The GCF of 5458,5554 is 2 .

LCM of 404,2809 is 1134836.

The greatest common factor of 5458/404,5554/2809 = [GCF of 5458,5554]/[LCM of 404,2809]= 2/1134836

Therefore, the GCF of 5458/404,5554/2809 is 2/1134836.

Greatest Common Factor of 5458,5554

To find the highest common factor of 5458,5554, we have to find the factors of both numbers and list the highest common factor.

The factors of 5458 are 1, 2, 2729, 5458

The factors of 5554 are 1, 2, 2777, 5554

The HCF of 5458,5554 is 2.

Lets's calculate GCF of 5458,5554

Greatest Common Factor (GCF) of 5458,5554 By Common Division

2	5458, 5554
	2729, 2777

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5458,5554 By Matching Biggest Common Factor Method

Now, list down the factors of 5458

1,2,2729,5458

Now, list down the factors of 5554

1,2,2777,5554

Greatest Common Factor

We found the factors 5458,5554 . The biggest common factor number is the GCF number.
So the greatest common factor 5458,5554 is 2.

Lets's calculate LCM of 404,2809

Lowest Common Multiple of 404,2809 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1134836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1134836

Therefore, the GCF of Fractions 5458/404,5554/2809 is 2/1134836

Least Common Multiple of 404,2809 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 404,2809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,2809) = 1

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

GCF(404,2809) x common factors =1 x 1 = 1

LCM(404,2809) = ( 404 × 2809 ) / 1

LCM(404,2809) = 1134836 / 1

LCM(404,2809) = 1134836

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FAQs on GCF of Fractions of 5458/404, 5554/2809

1. What is the HCF of 5458,5554?

The HCF of 5458,5554 is 2

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 5458/404, 5554/2809?

Answer: GCF of Numerators as per given numbers 5458/404, 5554/2809 is

GCF of Numerators i.e. for 5458,5554 is 2

LCM of denominators i.e. for 404,2809 is 1134836.

Thus, GCF of Fractions is 2/1134836.Finally, GCF of Fractions for 5458/404, 5554/2809 is 2/1134836.