How to Find GCF of 11/673, 13/944, 886/860?

GCF of 11/673, 13/944, 886/860

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 11/673, 13/944, 886/860 i.e 1/136592080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/673, 13/944, 886/860.

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 11/673,13/944,886/860?

Given fractions are 11/673,13/944,886/860

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 11/673,13/944,886/860, numerators are 11,13,886

Denominators are 673,944,860

The GCF of 11,13,886 is 1 .

LCM of 673,944,860 is 136592080.

The greatest common factor of 11/673,13/944,886/860 = [GCF of 11,13,886]/[LCM of 673,944,860]= 1/136592080

Therefore, the GCF of 11/673,13/944,886/860 is 1/136592080.

Greatest Common Factor of 11,13,886

To find the highest common factor of 11,13,886, we have to find the factors of both numbers and list the highest common factor.

The factors of 11 are 1, 11

The factors of 13 are 1, 13

The factors of 886 are 1, 2, 443, 886

The HCF of 11,13,886 is 1.

Lets's calculate GCF of 11,13,886

Greatest Common Factor (GCF) of 11,13,886 By Common Division

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

Greatest Common Factor of 11,13,886 By Matching Biggest Common Factor Method

Now, list down the factors of 11

1,11

Now, list down the factors of 13

1,13

Now, list down the factors of 886

1,2,443,886

Greatest Common Factor

We found the factors 11,13,886 . The biggest common factor number is the GCF number.
So the greatest common factor 11,13,886 is 1.

Lets's calculate LCM of 673,944,860

Lowest Common Multiple of 673,944,860 using Common Division

2	673, 944, 860
2	673, 472, 430
	673, 236, 215

∴ So the LCM of the given numbers is 2 x 2 x 673 x 236 x 215 = 136592080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136592080

Therefore, the GCF of Fractions 11/673,13/944,886/860 is 1/136592080

Least Common Multiple of 673,944,860 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 673,944,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(673,944,860) = 1

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

GCF(673,944,860) x common factors =1 x 4 = 4

LCM(673,944,860) = ( 673 × 944 × 860 ) / 4

LCM(673,944,860) = 546368320 / 4

LCM(673,944,860) = 136592080

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 11/673, 13/944, 886/860

1. What is the HCF of 11,13,886?

The HCF of 11,13,886 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 11/673, 13/944, 886/860?

Answer: GCF of Numerators as per given numbers 11/673, 13/944, 886/860 is

GCF of Numerators i.e. for 11,13,886 is 1

LCM of denominators i.e. for 673,944,860 is 136592080.

Thus, GCF of Fractions is 1/136592080.Finally, GCF of Fractions for 11/673, 13/944, 886/860 is 1/136592080.