How to Find GCF of 26/76, 39/68, 559/48?

GCF of 26/76, 39/68, 559/48

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 26/76, 39/68, 559/48 i.e 13/15504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 26/76, 39/68, 559/48.

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 26/76,39/68,559/48?

Given fractions are 26/76,39/68,559/48

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 26/76,39/68,559/48, numerators are 26,39,559

Denominators are 76,68,48

The GCF of 26,39,559 is 13 .

LCM of 76,68,48 is 15504.

The greatest common factor of 26/76,39/68,559/48 = [GCF of 26,39,559]/[LCM of 76,68,48]= 13/15504

Therefore, the GCF of 26/76,39/68,559/48 is 13/15504.

Greatest Common Factor of 26,39,559

To find the highest common factor of 26,39,559, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 39 are 1, 3, 13, 39

The factors of 559 are 1, 13, 43, 559

The HCF of 26,39,559 is 13.

Lets's calculate GCF of 26,39,559

Greatest Common Factor (GCF) of 26,39,559 By Common Division

13	26, 39, 559
	2, 3, 43

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 26,39,559 By Matching Biggest Common Factor Method

Now, list down the factors of 26

1,2,13,26

Now, list down the factors of 39

1,3,13,39

Now, list down the factors of 559

1,13,43,559

Greatest Common Factor

We found the factors 26,39,559 . The biggest common factor number is the GCF number.
So the greatest common factor 26,39,559 is 13.

Lets's calculate LCM of 76,68,48

Lowest Common Multiple of 76,68,48 using Common Division

2	76, 68, 48
2	38, 34, 24
	19, 17, 12

∴ So the LCM of the given numbers is 2 x 2 x 19 x 17 x 12 = 15504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/15504

Therefore, the GCF of Fractions 26/76,39/68,559/48 is 13/15504

Least Common Multiple of 76,68,48 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 76,68,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,68,48) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(76,68,48) x common factors =4 x 4 = 16

LCM(76,68,48) = ( 76 × 68 × 48 ) / 16

LCM(76,68,48) = 248064 / 16

LCM(76,68,48) = 15504

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FAQs on GCF of Fractions of 26/76, 39/68, 559/48

1. What is the HCF of 26,39,559?

The HCF of 26,39,559 is 13

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 26/76, 39/68, 559/48?

Answer: GCF of Numerators as per given numbers 26/76, 39/68, 559/48 is

GCF of Numerators i.e. for 26,39,559 is 13

LCM of denominators i.e. for 76,68,48 is 15504.

Thus, GCF of Fractions is 13/15504.Finally, GCF of Fractions for 26/76, 39/68, 559/48 is 13/15504.