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GCF of 384/10, 884/348

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 384/10, 884/348 i.e 4/1740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 384/10, 884/348.

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 384/10,884/348?

Given fractions are 384/10,884/348

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 384/10,884/348, numerators are 384,884

Denominators are 10,348

The GCF of 384,884 is 4 .

LCM of 10,348 is 1740.

The greatest common factor of 384/10,884/348 = [GCF of 384,884]/[LCM of 10,348]= 4/1740

Therefore, the GCF of 384/10,884/348 is 4/1740.

Greatest Common Factor of 384,884

To find the highest common factor of 384,884, we have to find the factors of both numbers and list the highest common factor.

The factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

The HCF of 384,884 is 4.

Lets's calculate GCF of 384,884

Greatest Common Factor (GCF) of 384,884 By Common Division

2 384, 884
2 192, 442
96, 221

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 384,884 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,884 By Matching Biggest Common Factor Method

Now, list down the factors of 384

:

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Now, list down the factors of 884

:

1,2,4,13,17,26,34,52,68,221,442,884

Greatest Common Factor

We found the factors 384,884 . The biggest common factor number is the GCF number.
So the greatest common factor 384,884 is 4.

Lets's calculate LCM of 10,348

Lowest Common Multiple of 10,348 using Common Division

2 10, 348
5, 174

∴ So the LCM of the given numbers is 2 x 5 x 174 = 1740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1740

Therefore, the GCF of Fractions 384/10,884/348 is 4/1740

Least Common Multiple of 10,348 with GCF Formula

Least Common Multiple of 10,348 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 10,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,348) = 2

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

GCF(10,348) x common factors =2 x 1 = 2

LCM(10,348) = ( 10 × 348 ) / 2

LCM(10,348) = 3480 / 2

LCM(10,348) = 1740


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FAQs on GCF of Fractions of 384/10, 884/348

1. What is the HCF of 384,884?

The HCF of 384,884 is 4

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 384/10, 884/348?

Answer: GCF of Numerators as per given numbers 384/10, 884/348 is

GCF of Numerators i.e. for 384,884 is 4

LCM of denominators i.e. for 10,348 is 1740.

Thus, GCF of Fractions is 4/1740.Finally, GCF of Fractions for 384/10, 884/348 is 4/1740.