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GCF of 99/64, 103/63, 329/372

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 99/64, 103/63, 329/372 i.e 1/124992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/64, 103/63, 329/372.

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 99/64,103/63,329/372?

Given fractions are 99/64,103/63,329/372

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 99/64,103/63,329/372, numerators are 99,103,329

Denominators are 64,63,372

The GCF of 99,103,329 is 1 .

LCM of 64,63,372 is 124992.

The greatest common factor of 99/64,103/63,329/372 = [GCF of 99,103,329]/[LCM of 64,63,372]= 1/124992

Therefore, the GCF of 99/64,103/63,329/372 is 1/124992.

Greatest Common Factor of 99,103,329

To find the highest common factor of 99,103,329, we have to find the factors of both numbers and list the highest common factor.

The factors of 99 are 1, 3, 9, 11, 33, 99

The factors of 103 are 1, 103

The factors of 329 are 1, 7, 47, 329

The HCF of 99,103,329 is 1.

Lets's calculate GCF of 99,103,329

Greatest Common Factor (GCF) of 99,103,329 By Common Division

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

Greatest Common Factor of 99,103,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,103,329 By Matching Biggest Common Factor Method

Now, list down the factors of 99

:

1,3,9,11,33,99

Now, list down the factors of 103

:

1,103

Now, list down the factors of 329

:

1,7,47,329

Greatest Common Factor

We found the factors 99,103,329 . The biggest common factor number is the GCF number.
So the greatest common factor 99,103,329 is 1.


Lets's calculate LCM of 64,63,372

Lowest Common Multiple of 64,63,372 using Common Division

2 64, 63, 372
2 32, 63, 186
3 16, 63, 93
16, 21, 31

∴ So the LCM of the given numbers is 2 x 2 x 3 x 16 x 21 x 31 = 124992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124992

Therefore, the GCF of Fractions 99/64,103/63,329/372 is 1/124992

Least Common Multiple of 64,63,372 with GCF Formula

Least Common Multiple of 64,63,372 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 64,63,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,63,372) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(64,63,372) x common factors =1 x 12 = 12

LCM(64,63,372) = ( 64 × 63 × 372 ) / 12

LCM(64,63,372) = 1499904 / 12

LCM(64,63,372) = 124992


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 99/64, 103/63, 329/372

1. What is the HCF of 99,103,329?

The HCF of 99,103,329 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 99/64, 103/63, 329/372?

Answer: GCF of Numerators as per given numbers 99/64, 103/63, 329/372 is

GCF of Numerators i.e. for 99,103,329 is 1

LCM of denominators i.e. for 64,63,372 is 124992.

Thus, GCF of Fractions is 1/124992.Finally, GCF of Fractions for 99/64, 103/63, 329/372 is 1/124992.