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GCF of 4335/295, 8247/7320

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 4335/295, 8247/7320 i.e 3/431880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4335/295, 8247/7320.

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 4335/295,8247/7320?

Given fractions are 4335/295,8247/7320

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 4335/295,8247/7320, numerators are 4335,8247

Denominators are 295,7320

The GCF of 4335,8247 is 3 .

LCM of 295,7320 is 431880.

The greatest common factor of 4335/295,8247/7320 = [GCF of 4335,8247]/[LCM of 295,7320]= 3/431880

Therefore, the GCF of 4335/295,8247/7320 is 3/431880.

Greatest Common Factor of 4335,8247

To find the highest common factor of 4335,8247, we have to find the factors of both numbers and list the highest common factor.

The factors of 4335 are 1, 3, 5, 15, 17, 51, 85, 255, 289, 867, 1445, 4335

The factors of 8247 are 1, 3, 2749, 8247

The HCF of 4335,8247 is 3.

Lets's calculate GCF of 4335,8247

Greatest Common Factor (GCF) of 4335,8247 By Common Division

3 4335, 8247
1445, 2749

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

Greatest Common Factor of 4335,8247 By Matching Biggest Common Factor Method

Greatest Common Factor of 4335,8247 By Matching Biggest Common Factor Method

Now, list down the factors of 4335

:

1,3,5,15,17,51,85,255,289,867,1445,4335

Now, list down the factors of 8247

:

1,3,2749,8247

Greatest Common Factor

We found the factors 4335,8247 . The biggest common factor number is the GCF number.
So the greatest common factor 4335,8247 is 3.


Lets's calculate LCM of 295,7320

Lowest Common Multiple of 295,7320 using Common Division

5 295, 7320
59, 1464

∴ So the LCM of the given numbers is 5 x 59 x 1464 = 431880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/431880

Therefore, the GCF of Fractions 4335/295,8247/7320 is 3/431880

Least Common Multiple of 295,7320 with GCF Formula

Least Common Multiple of 295,7320 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 295,7320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,7320) = 5

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

GCF(295,7320) x common factors =5 x 1 = 5

LCM(295,7320) = ( 295 × 7320 ) / 5

LCM(295,7320) = 2159400 / 5

LCM(295,7320) = 431880


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 4335/295, 8247/7320

1. What is the HCF of 4335,8247?

The HCF of 4335,8247 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 4335/295, 8247/7320?

Answer: GCF of Numerators as per given numbers 4335/295, 8247/7320 is

GCF of Numerators i.e. for 4335,8247 is 3

LCM of denominators i.e. for 295,7320 is 431880.

Thus, GCF of Fractions is 3/431880.Finally, GCF of Fractions for 4335/295, 8247/7320 is 3/431880.