How to Find GCF of 8364/384, 3065/8936?

GCF of 8364/384, 3065/8936

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 8364/384, 3065/8936 i.e 1/428928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8364/384, 3065/8936.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 8364/384,3065/8936?

Given fractions are 8364/384,3065/8936

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 8364/384,3065/8936, numerators are 8364,3065

Denominators are 384,8936

The GCF of 8364,3065 is 1 .

LCM of 384,8936 is 428928.

The greatest common factor of 8364/384,3065/8936 = [GCF of 8364,3065]/[LCM of 384,8936]= 1/428928

Therefore, the GCF of 8364/384,3065/8936 is 1/428928.

Greatest Common Factor of 8364,3065

To find the highest common factor of 8364,3065, we have to find the factors of both numbers and list the highest common factor.

The factors of 8364 are 1, 2, 3, 4, 6, 12, 17, 34, 41, 51, 68, 82, 102, 123, 164, 204, 246, 492, 697, 1394, 2091, 2788, 4182, 8364

The factors of 3065 are 1, 5, 613, 3065

The HCF of 8364,3065 is 1.

Lets's calculate GCF of 8364,3065

Greatest Common Factor (GCF) of 8364,3065 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8364,3065 By Matching Biggest Common Factor Method

Now, list down the factors of 8364

1,2,3,4,6,12,17,34,41,51,68,82,102,123,164,204,246,492,697,1394,2091,2788,4182,8364

Now, list down the factors of 3065

1,5,613,3065

Greatest Common Factor

We found the factors 8364,3065 . The biggest common factor number is the GCF number.
So the greatest common factor 8364,3065 is 1.

Lets's calculate LCM of 384,8936

Lowest Common Multiple of 384,8936 using Common Division

2	384, 8936
2	192, 4468
2	96, 2234
	48, 1117

∴ So the LCM of the given numbers is 2 x 2 x 2 x 48 x 1117 = 428928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/428928

Therefore, the GCF of Fractions 8364/384,3065/8936 is 1/428928

Least Common Multiple of 384,8936 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 384,8936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,8936) = 8

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

GCF(384,8936) x common factors =8 x 1 = 8

LCM(384,8936) = ( 384 × 8936 ) / 8

LCM(384,8936) = 3431424 / 8

LCM(384,8936) = 428928

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8364/384, 3065/8936

1. What is the HCF of 8364,3065?

The HCF of 8364,3065 is 1

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 8364/384, 3065/8936?

Answer: GCF of Numerators as per given numbers 8364/384, 3065/8936 is

GCF of Numerators i.e. for 8364,3065 is 1

LCM of denominators i.e. for 384,8936 is 428928.

Thus, GCF of Fractions is 1/428928.Finally, GCF of Fractions for 8364/384, 3065/8936 is 1/428928.