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GCF of 5519/768, 5498/437

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 5519/768, 5498/437 i.e 1/335616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5519/768, 5498/437.

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 5519/768,5498/437?

Given fractions are 5519/768,5498/437

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 5519/768,5498/437, numerators are 5519,5498

Denominators are 768,437

The GCF of 5519,5498 is 1 .

LCM of 768,437 is 335616.

The greatest common factor of 5519/768,5498/437 = [GCF of 5519,5498]/[LCM of 768,437]= 1/335616

Therefore, the GCF of 5519/768,5498/437 is 1/335616.

Greatest Common Factor of 5519,5498

To find the highest common factor of 5519,5498, we have to find the factors of both numbers and list the highest common factor.

The factors of 5519 are 1, 5519

The factors of 5498 are 1, 2, 2749, 5498

The HCF of 5519,5498 is 1.

Lets's calculate GCF of 5519,5498

Greatest Common Factor (GCF) of 5519,5498 By Common Division

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

Greatest Common Factor of 5519,5498 By Matching Biggest Common Factor Method

Greatest Common Factor of 5519,5498 By Matching Biggest Common Factor Method

Now, list down the factors of 5519

:

1,5519

Now, list down the factors of 5498

:

1,2,2749,5498

Greatest Common Factor

We found the factors 5519,5498 . The biggest common factor number is the GCF number.
So the greatest common factor 5519,5498 is 1.

Lets's calculate LCM of 768,437

Lowest Common Multiple of 768,437 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 335616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/335616

Therefore, the GCF of Fractions 5519/768,5498/437 is 1/335616

Least Common Multiple of 768,437 with GCF Formula

Least Common Multiple of 768,437 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 768,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,437) = 1

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

GCF(768,437) x common factors =1 x 1 = 1

LCM(768,437) = ( 768 × 437 ) / 1

LCM(768,437) = 335616 / 1

LCM(768,437) = 335616


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FAQs on GCF of Fractions of 5519/768, 5498/437

1. What is the HCF of 5519,5498?

The HCF of 5519,5498 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 5519/768, 5498/437?

Answer: GCF of Numerators as per given numbers 5519/768, 5498/437 is

GCF of Numerators i.e. for 5519,5498 is 1

LCM of denominators i.e. for 768,437 is 335616.

Thus, GCF of Fractions is 1/335616.Finally, GCF of Fractions for 5519/768, 5498/437 is 1/335616.