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GCF of 5367/332, 3291/896

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 5367/332, 3291/896 i.e 3/74368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5367/332, 3291/896.

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 5367/332,3291/896?

Given fractions are 5367/332,3291/896

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 5367/332,3291/896, numerators are 5367,3291

Denominators are 332,896

The GCF of 5367,3291 is 3 .

LCM of 332,896 is 74368.

The greatest common factor of 5367/332,3291/896 = [GCF of 5367,3291]/[LCM of 332,896]= 3/74368

Therefore, the GCF of 5367/332,3291/896 is 3/74368.

Greatest Common Factor of 5367,3291

To find the highest common factor of 5367,3291, we have to find the factors of both numbers and list the highest common factor.

The factors of 5367 are 1, 3, 1789, 5367

The factors of 3291 are 1, 3, 1097, 3291

The HCF of 5367,3291 is 3.

Lets's calculate GCF of 5367,3291

Greatest Common Factor (GCF) of 5367,3291 By Common Division

3 5367, 3291
1789, 1097

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

Greatest Common Factor of 5367,3291 By Matching Biggest Common Factor Method

Greatest Common Factor of 5367,3291 By Matching Biggest Common Factor Method

Now, list down the factors of 5367

:

1,3,1789,5367

Now, list down the factors of 3291

:

1,3,1097,3291

Greatest Common Factor

We found the factors 5367,3291 . The biggest common factor number is the GCF number.
So the greatest common factor 5367,3291 is 3.

Lets's calculate LCM of 332,896

Lowest Common Multiple of 332,896 using Common Division

2 332, 896
2 166, 448
83, 224

∴ So the LCM of the given numbers is 2 x 2 x 83 x 224 = 74368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/74368

Therefore, the GCF of Fractions 5367/332,3291/896 is 3/74368

Least Common Multiple of 332,896 with GCF Formula

Least Common Multiple of 332,896 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 332,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(332,896) = 4

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

GCF(332,896) x common factors =4 x 1 = 4

LCM(332,896) = ( 332 × 896 ) / 4

LCM(332,896) = 297472 / 4

LCM(332,896) = 74368


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FAQs on GCF of Fractions of 5367/332, 3291/896

1. What is the HCF of 5367,3291?

The HCF of 5367,3291 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 5367/332, 3291/896?

Answer: GCF of Numerators as per given numbers 5367/332, 3291/896 is

GCF of Numerators i.e. for 5367,3291 is 3

LCM of denominators i.e. for 332,896 is 74368.

Thus, GCF of Fractions is 3/74368.Finally, GCF of Fractions for 5367/332, 3291/896 is 3/74368.