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GCF of 73/384, 66/9088

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 73/384, 66/9088 i.e 1/27264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 73/384, 66/9088.

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 73/384,66/9088?

Given fractions are 73/384,66/9088

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 73/384,66/9088, numerators are 73,66

Denominators are 384,9088

The GCF of 73,66 is 1 .

LCM of 384,9088 is 27264.

The greatest common factor of 73/384,66/9088 = [GCF of 73,66]/[LCM of 384,9088]= 1/27264

Therefore, the GCF of 73/384,66/9088 is 1/27264.

Greatest Common Factor of 73,66

To find the highest common factor of 73,66, we have to find the factors of both numbers and list the highest common factor.

The factors of 73 are 1, 73

The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66

The HCF of 73,66 is 1.

Lets's calculate GCF of 73,66

Greatest Common Factor (GCF) of 73,66 By Common Division

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

Greatest Common Factor of 73,66 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,66 By Matching Biggest Common Factor Method

Now, list down the factors of 73

:

1,73

Now, list down the factors of 66

:

1,2,3,6,11,22,33,66

Greatest Common Factor

We found the factors 73,66 . The biggest common factor number is the GCF number.
So the greatest common factor 73,66 is 1.

Lets's calculate LCM of 384,9088

Lowest Common Multiple of 384,9088 using Common Division

2 384, 9088
2 192, 4544
2 96, 2272
2 48, 1136
2 24, 568
2 12, 284
2 6, 142
3, 71

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 71 = 27264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27264

Therefore, the GCF of Fractions 73/384,66/9088 is 1/27264

Least Common Multiple of 384,9088 with GCF Formula

Least Common Multiple of 384,9088 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 384,9088 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,9088) = 128

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

GCF(384,9088) x common factors =128 x 1 = 128

LCM(384,9088) = ( 384 × 9088 ) / 128

LCM(384,9088) = 3489792 / 128

LCM(384,9088) = 27264


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FAQs on GCF of Fractions of 73/384, 66/9088

1. What is the HCF of 73,66?

The HCF of 73,66 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 73/384, 66/9088?

Answer: GCF of Numerators as per given numbers 73/384, 66/9088 is

GCF of Numerators i.e. for 73,66 is 1

LCM of denominators i.e. for 384,9088 is 27264.

Thus, GCF of Fractions is 1/27264.Finally, GCF of Fractions for 73/384, 66/9088 is 1/27264.