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GCF of 335/31, 385/299

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 335/31, 385/299 i.e 5/9269 easily. The following is the detailed procedure to determine the greatest common factor of fractions 335/31, 385/299.

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 335/31,385/299?

Given fractions are 335/31,385/299

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 335/31,385/299, numerators are 335,385

Denominators are 31,299

The GCF of 335,385 is 5 .

LCM of 31,299 is 9269.

The greatest common factor of 335/31,385/299 = [GCF of 335,385]/[LCM of 31,299]= 5/9269

Therefore, the GCF of 335/31,385/299 is 5/9269.

Greatest Common Factor of 335,385

To find the highest common factor of 335,385, we have to find the factors of both numbers and list the highest common factor.

The factors of 335 are 1, 5, 67, 335

The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385

The HCF of 335,385 is 5.

Lets's calculate GCF of 335,385

Greatest Common Factor (GCF) of 335,385 By Common Division

5 335, 385
67, 77

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 335,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 335,385 By Matching Biggest Common Factor Method

Now, list down the factors of 335

:

1,5,67,335

Now, list down the factors of 385

:

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 335,385 . The biggest common factor number is the GCF number.
So the greatest common factor 335,385 is 5.

Lets's calculate LCM of 31,299

Lowest Common Multiple of 31,299 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9269

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/9269

Therefore, the GCF of Fractions 335/31,385/299 is 5/9269

Least Common Multiple of 31,299 with GCF Formula

Least Common Multiple of 31,299 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 31,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,299) = 1

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

GCF(31,299) x common factors =1 x 1 = 1

LCM(31,299) = ( 31 × 299 ) / 1

LCM(31,299) = 9269 / 1

LCM(31,299) = 9269


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FAQs on GCF of Fractions of 335/31, 385/299

1. What is the HCF of 335,385?

The HCF of 335,385 is 5

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 335/31, 385/299?

Answer: GCF of Numerators as per given numbers 335/31, 385/299 is

GCF of Numerators i.e. for 335,385 is 5

LCM of denominators i.e. for 31,299 is 9269.

Thus, GCF of Fractions is 5/9269.Finally, GCF of Fractions for 335/31, 385/299 is 5/9269.