How to Find GCF of 78/13, 26/864, 916/302?

GCF of 78/13, 26/864, 916/302

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 78/13, 26/864, 916/302 i.e 2/1696032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 78/13, 26/864, 916/302.

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 78/13,26/864,916/302?

Given fractions are 78/13,26/864,916/302

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 78/13,26/864,916/302, numerators are 78,26,916

Denominators are 13,864,302

The GCF of 78,26,916 is 2 .

LCM of 13,864,302 is 1696032.

The greatest common factor of 78/13,26/864,916/302 = [GCF of 78,26,916]/[LCM of 13,864,302]= 2/1696032

Therefore, the GCF of 78/13,26/864,916/302 is 2/1696032.

Greatest Common Factor of 78,26,916

To find the highest common factor of 78,26,916, we have to find the factors of both numbers and list the highest common factor.

The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78

The factors of 26 are 1, 2, 13, 26

The factors of 916 are 1, 2, 4, 229, 458, 916

The HCF of 78,26,916 is 2.

Lets's calculate GCF of 78,26,916

Greatest Common Factor (GCF) of 78,26,916 By Common Division

2	78, 26, 916
	39, 13, 458

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

Greatest Common Factor of 78,26,916 By Matching Biggest Common Factor Method

Now, list down the factors of 78

1,2,3,6,13,26,39,78

Now, list down the factors of 26

1,2,13,26

Now, list down the factors of 916

1,2,4,229,458,916

Greatest Common Factor

We found the factors 78,26,916 . The biggest common factor number is the GCF number.
So the greatest common factor 78,26,916 is 2.

Lets's calculate LCM of 13,864,302

Lowest Common Multiple of 13,864,302 using Common Division

2	13, 864, 302
	13, 432, 151

∴ So the LCM of the given numbers is 2 x 13 x 432 x 151 = 1696032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1696032

Therefore, the GCF of Fractions 78/13,26/864,916/302 is 2/1696032

Least Common Multiple of 13,864,302 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 13,864,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,864,302) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(13,864,302) x common factors =1 x 2 = 2

LCM(13,864,302) = ( 13 × 864 × 302 ) / 2

LCM(13,864,302) = 3392064 / 2

LCM(13,864,302) = 1696032

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 78/13, 26/864, 916/302

1. What is the HCF of 78,26,916?

The HCF of 78,26,916 is 2

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 78/13, 26/864, 916/302?

Answer: GCF of Numerators as per given numbers 78/13, 26/864, 916/302 is

GCF of Numerators i.e. for 78,26,916 is 2

LCM of denominators i.e. for 13,864,302 is 1696032.

Thus, GCF of Fractions is 2/1696032.Finally, GCF of Fractions for 78/13, 26/864, 916/302 is 2/1696032.