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GCF of 385/54, 286/668

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 385/54, 286/668 i.e 11/18036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 385/54, 286/668.

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 385/54,286/668?

Given fractions are 385/54,286/668

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 385/54,286/668, numerators are 385,286

Denominators are 54,668

The GCF of 385,286 is 11 .

LCM of 54,668 is 18036.

The greatest common factor of 385/54,286/668 = [GCF of 385,286]/[LCM of 54,668]= 11/18036

Therefore, the GCF of 385/54,286/668 is 11/18036.

Greatest Common Factor of 385,286

To find the highest common factor of 385,286, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286

The HCF of 385,286 is 11.

Lets's calculate GCF of 385,286

Greatest Common Factor (GCF) of 385,286 By Common Division

11 385, 286
35, 26

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 385,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,286 By Matching Biggest Common Factor Method

Now, list down the factors of 385

:

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

Now, list down the factors of 286

:

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 385,286 . The biggest common factor number is the GCF number.
So the greatest common factor 385,286 is 11.

Lets's calculate LCM of 54,668

Lowest Common Multiple of 54,668 using Common Division

2 54, 668
27, 334

∴ So the LCM of the given numbers is 2 x 27 x 334 = 18036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/18036

Therefore, the GCF of Fractions 385/54,286/668 is 11/18036

Least Common Multiple of 54,668 with GCF Formula

Least Common Multiple of 54,668 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 54,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,668) = 2

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

GCF(54,668) x common factors =2 x 1 = 2

LCM(54,668) = ( 54 × 668 ) / 2

LCM(54,668) = 36072 / 2

LCM(54,668) = 18036


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FAQs on GCF of Fractions of 385/54, 286/668

1. What is the HCF of 385,286?

The HCF of 385,286 is 11

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 385/54, 286/668?

Answer: GCF of Numerators as per given numbers 385/54, 286/668 is

GCF of Numerators i.e. for 385,286 is 11

LCM of denominators i.e. for 54,668 is 18036.

Thus, GCF of Fractions is 11/18036.Finally, GCF of Fractions for 385/54, 286/668 is 11/18036.