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GCF of 518/320, 5779/5074

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 518/320, 5779/5074 i.e 1/811840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 518/320, 5779/5074.

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 518/320,5779/5074?

Given fractions are 518/320,5779/5074

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 518/320,5779/5074, numerators are 518,5779

Denominators are 320,5074

The GCF of 518,5779 is 1 .

LCM of 320,5074 is 811840.

The greatest common factor of 518/320,5779/5074 = [GCF of 518,5779]/[LCM of 320,5074]= 1/811840

Therefore, the GCF of 518/320,5779/5074 is 1/811840.

Greatest Common Factor of 518,5779

To find the highest common factor of 518,5779, we have to find the factors of both numbers and list the highest common factor.

The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518

The factors of 5779 are 1, 5779

The HCF of 518,5779 is 1.

Lets's calculate GCF of 518,5779

Greatest Common Factor (GCF) of 518,5779 By Common Division

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

Greatest Common Factor of 518,5779 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,5779 By Matching Biggest Common Factor Method

Now, list down the factors of 518

:

1,2,7,14,37,74,259,518

Now, list down the factors of 5779

:

1,5779

Greatest Common Factor

We found the factors 518,5779 . The biggest common factor number is the GCF number.
So the greatest common factor 518,5779 is 1.

Lets's calculate LCM of 320,5074

Lowest Common Multiple of 320,5074 using Common Division

2 320, 5074
160, 2537

∴ So the LCM of the given numbers is 2 x 160 x 2537 = 811840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/811840

Therefore, the GCF of Fractions 518/320,5779/5074 is 1/811840

Least Common Multiple of 320,5074 with GCF Formula

Least Common Multiple of 320,5074 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 320,5074 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,5074) = 2

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

GCF(320,5074) x common factors =2 x 1 = 2

LCM(320,5074) = ( 320 × 5074 ) / 2

LCM(320,5074) = 1623680 / 2

LCM(320,5074) = 811840


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FAQs on GCF of Fractions of 518/320, 5779/5074

1. What is the HCF of 518,5779?

The HCF of 518,5779 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 518/320, 5779/5074?

Answer: GCF of Numerators as per given numbers 518/320, 5779/5074 is

GCF of Numerators i.e. for 518,5779 is 1

LCM of denominators i.e. for 320,5074 is 811840.

Thus, GCF of Fractions is 1/811840.Finally, GCF of Fractions for 518/320, 5779/5074 is 1/811840.