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GCF of 308/17, 9383/904

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 308/17, 9383/904 i.e 11/15368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 308/17, 9383/904.

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 308/17,9383/904?

Given fractions are 308/17,9383/904

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 308/17,9383/904, numerators are 308,9383

Denominators are 17,904

The GCF of 308,9383 is 11 .

LCM of 17,904 is 15368.

The greatest common factor of 308/17,9383/904 = [GCF of 308,9383]/[LCM of 17,904]= 11/15368

Therefore, the GCF of 308/17,9383/904 is 11/15368.

Greatest Common Factor of 308,9383

To find the highest common factor of 308,9383, we have to find the factors of both numbers and list the highest common factor.

The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

The factors of 9383 are 1, 11, 853, 9383

The HCF of 308,9383 is 11.

Lets's calculate GCF of 308,9383

Greatest Common Factor (GCF) of 308,9383 By Common Division

11 308, 9383
28, 853

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

Greatest Common Factor of 308,9383 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,9383 By Matching Biggest Common Factor Method

Now, list down the factors of 308

:

1,2,4,7,11,14,22,28,44,77,154,308

Now, list down the factors of 9383

:

1,11,853,9383

Greatest Common Factor

We found the factors 308,9383 . The biggest common factor number is the GCF number.
So the greatest common factor 308,9383 is 11.

Lets's calculate LCM of 17,904

Lowest Common Multiple of 17,904 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 15368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/15368

Therefore, the GCF of Fractions 308/17,9383/904 is 11/15368

Least Common Multiple of 17,904 with GCF Formula

Least Common Multiple of 17,904 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 17,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,904) = 1

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

GCF(17,904) x common factors =1 x 1 = 1

LCM(17,904) = ( 17 × 904 ) / 1

LCM(17,904) = 15368 / 1

LCM(17,904) = 15368


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FAQs on GCF of Fractions of 308/17, 9383/904

1. What is the HCF of 308,9383?

The HCF of 308,9383 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 308/17, 9383/904?

Answer: GCF of Numerators as per given numbers 308/17, 9383/904 is

GCF of Numerators i.e. for 308,9383 is 11

LCM of denominators i.e. for 17,904 is 15368.

Thus, GCF of Fractions is 11/15368.Finally, GCF of Fractions for 308/17, 9383/904 is 11/15368.