How to Find GCF of 5081/520, 9824/848?

GCF of 5081/520, 9824/848

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 5081/520, 9824/848 i.e 1/55120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5081/520, 9824/848.

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 5081/520,9824/848?

Given fractions are 5081/520,9824/848

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 5081/520,9824/848, numerators are 5081,9824

Denominators are 520,848

The GCF of 5081,9824 is 1 .

LCM of 520,848 is 55120.

The greatest common factor of 5081/520,9824/848 = [GCF of 5081,9824]/[LCM of 520,848]= 1/55120

Therefore, the GCF of 5081/520,9824/848 is 1/55120.

Greatest Common Factor of 5081,9824

To find the highest common factor of 5081,9824, we have to find the factors of both numbers and list the highest common factor.

The factors of 5081 are 1, 5081

The factors of 9824 are 1, 2, 4, 8, 16, 32, 307, 614, 1228, 2456, 4912, 9824

The HCF of 5081,9824 is 1.

Lets's calculate GCF of 5081,9824

Greatest Common Factor (GCF) of 5081,9824 By Common Division

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

Greatest Common Factor of 5081,9824 By Matching Biggest Common Factor Method

Now, list down the factors of 5081

1,5081

Now, list down the factors of 9824

1,2,4,8,16,32,307,614,1228,2456,4912,9824

Greatest Common Factor

We found the factors 5081,9824 . The biggest common factor number is the GCF number.
So the greatest common factor 5081,9824 is 1.

Lets's calculate LCM of 520,848

Lowest Common Multiple of 520,848 using Common Division

2	520, 848
2	260, 424
2	130, 212
	65, 106

∴ So the LCM of the given numbers is 2 x 2 x 2 x 65 x 106 = 55120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55120

Therefore, the GCF of Fractions 5081/520,9824/848 is 1/55120

Least Common Multiple of 520,848 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 520,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,848) = 8

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

GCF(520,848) x common factors =8 x 1 = 8

LCM(520,848) = ( 520 × 848 ) / 8

LCM(520,848) = 440960 / 8

LCM(520,848) = 55120

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FAQs on GCF of Fractions of 5081/520, 9824/848

1. What is the HCF of 5081,9824?

The HCF of 5081,9824 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 5081/520, 9824/848?

Answer: GCF of Numerators as per given numbers 5081/520, 9824/848 is

GCF of Numerators i.e. for 5081,9824 is 1

LCM of denominators i.e. for 520,848 is 55120.

Thus, GCF of Fractions is 1/55120.Finally, GCF of Fractions for 5081/520, 9824/848 is 1/55120.