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GCF of 717/320, 6233/336

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 717/320, 6233/336 i.e 1/6720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 717/320, 6233/336.

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 717/320,6233/336?

Given fractions are 717/320,6233/336

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 717/320,6233/336, numerators are 717,6233

Denominators are 320,336

The GCF of 717,6233 is 1 .

LCM of 320,336 is 6720.

The greatest common factor of 717/320,6233/336 = [GCF of 717,6233]/[LCM of 320,336]= 1/6720

Therefore, the GCF of 717/320,6233/336 is 1/6720.

Greatest Common Factor of 717,6233

To find the highest common factor of 717,6233, we have to find the factors of both numbers and list the highest common factor.

The factors of 717 are 1, 3, 239, 717

The factors of 6233 are 1, 23, 271, 6233

The HCF of 717,6233 is 1.

Lets's calculate GCF of 717,6233

Greatest Common Factor (GCF) of 717,6233 By Common Division

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

Greatest Common Factor of 717,6233 By Matching Biggest Common Factor Method

Greatest Common Factor of 717,6233 By Matching Biggest Common Factor Method

Now, list down the factors of 717

:

1,3,239,717

Now, list down the factors of 6233

:

1,23,271,6233

Greatest Common Factor

We found the factors 717,6233 . The biggest common factor number is the GCF number.
So the greatest common factor 717,6233 is 1.

Lets's calculate LCM of 320,336

Lowest Common Multiple of 320,336 using Common Division

2 320, 336
2 160, 168
2 80, 84
2 40, 42
20, 21

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 20 x 21 = 6720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6720

Therefore, the GCF of Fractions 717/320,6233/336 is 1/6720

Least Common Multiple of 320,336 with GCF Formula

Least Common Multiple of 320,336 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 320,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,336) = 16

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

GCF(320,336) x common factors =16 x 1 = 16

LCM(320,336) = ( 320 × 336 ) / 16

LCM(320,336) = 107520 / 16

LCM(320,336) = 6720


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FAQs on GCF of Fractions of 717/320, 6233/336

1. What is the HCF of 717,6233?

The HCF of 717,6233 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 717/320, 6233/336?

Answer: GCF of Numerators as per given numbers 717/320, 6233/336 is

GCF of Numerators i.e. for 717,6233 is 1

LCM of denominators i.e. for 320,336 is 6720.

Thus, GCF of Fractions is 1/6720.Finally, GCF of Fractions for 717/320, 6233/336 is 1/6720.