How to Find GCF of 5281/512, 1333/7772?

GCF of 5281/512, 1333/7772

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 5281/512, 1333/7772 i.e 1/994816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5281/512, 1333/7772.

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 5281/512,1333/7772?

Given fractions are 5281/512,1333/7772

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 5281/512,1333/7772, numerators are 5281,1333

Denominators are 512,7772

The GCF of 5281,1333 is 1 .

LCM of 512,7772 is 994816.

The greatest common factor of 5281/512,1333/7772 = [GCF of 5281,1333]/[LCM of 512,7772]= 1/994816

Therefore, the GCF of 5281/512,1333/7772 is 1/994816.

Greatest Common Factor of 5281,1333

To find the highest common factor of 5281,1333, we have to find the factors of both numbers and list the highest common factor.

The factors of 5281 are 1, 5281

The factors of 1333 are 1, 31, 43, 1333

The HCF of 5281,1333 is 1.

Lets's calculate GCF of 5281,1333

Greatest Common Factor (GCF) of 5281,1333 By Common Division

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

Greatest Common Factor of 5281,1333 By Matching Biggest Common Factor Method

Now, list down the factors of 5281

1,5281

Now, list down the factors of 1333

1,31,43,1333

Greatest Common Factor

We found the factors 5281,1333 . The biggest common factor number is the GCF number.
So the greatest common factor 5281,1333 is 1.

Lets's calculate LCM of 512,7772

Lowest Common Multiple of 512,7772 using Common Division

2	512, 7772
2	256, 3886
	128, 1943

∴ So the LCM of the given numbers is 2 x 2 x 128 x 1943 = 994816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/994816

Therefore, the GCF of Fractions 5281/512,1333/7772 is 1/994816

Least Common Multiple of 512,7772 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 512,7772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,7772) = 4

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

GCF(512,7772) x common factors =4 x 1 = 4

LCM(512,7772) = ( 512 × 7772 ) / 4

LCM(512,7772) = 3979264 / 4

LCM(512,7772) = 994816

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FAQs on GCF of Fractions of 5281/512, 1333/7772

1. What is the HCF of 5281,1333?

The HCF of 5281,1333 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 5281/512, 1333/7772?

Answer: GCF of Numerators as per given numbers 5281/512, 1333/7772 is

GCF of Numerators i.e. for 5281,1333 is 1

LCM of denominators i.e. for 512,7772 is 994816.

Thus, GCF of Fractions is 1/994816.Finally, GCF of Fractions for 5281/512, 1333/7772 is 1/994816.