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GCF of 291/512, 3459/848

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 291/512, 3459/848 i.e 3/27136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 291/512, 3459/848.

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 291/512,3459/848?

Given fractions are 291/512,3459/848

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 291/512,3459/848, numerators are 291,3459

Denominators are 512,848

The GCF of 291,3459 is 3 .

LCM of 512,848 is 27136.

The greatest common factor of 291/512,3459/848 = [GCF of 291,3459]/[LCM of 512,848]= 3/27136

Therefore, the GCF of 291/512,3459/848 is 3/27136.

Greatest Common Factor of 291,3459

To find the highest common factor of 291,3459, we have to find the factors of both numbers and list the highest common factor.

The factors of 291 are 1, 3, 97, 291

The factors of 3459 are 1, 3, 1153, 3459

The HCF of 291,3459 is 3.

Lets's calculate GCF of 291,3459

Greatest Common Factor (GCF) of 291,3459 By Common Division

3 291, 3459
97, 1153

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 291,3459 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,3459 By Matching Biggest Common Factor Method

Now, list down the factors of 291

:

1,3,97,291

Now, list down the factors of 3459

:

1,3,1153,3459

Greatest Common Factor

We found the factors 291,3459 . The biggest common factor number is the GCF number.
So the greatest common factor 291,3459 is 3.

Lets's calculate LCM of 512,848

Lowest Common Multiple of 512,848 using Common Division

2 512, 848
2 256, 424
2 128, 212
2 64, 106
32, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 32 x 53 = 27136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/27136

Therefore, the GCF of Fractions 291/512,3459/848 is 3/27136

Least Common Multiple of 512,848 with GCF Formula

Least Common Multiple of 512,848 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 512,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,848) = 16

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

GCF(512,848) x common factors =16 x 1 = 16

LCM(512,848) = ( 512 × 848 ) / 16

LCM(512,848) = 434176 / 16

LCM(512,848) = 27136


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FAQs on GCF of Fractions of 291/512, 3459/848

1. What is the HCF of 291,3459?

The HCF of 291,3459 is 3

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 291/512, 3459/848?

Answer: GCF of Numerators as per given numbers 291/512, 3459/848 is

GCF of Numerators i.e. for 291,3459 is 3

LCM of denominators i.e. for 512,848 is 27136.

Thus, GCF of Fractions is 3/27136.Finally, GCF of Fractions for 291/512, 3459/848 is 3/27136.