How to Find GCF of 15/11, 58/56, 499/30?

GCF of 15/11, 58/56, 499/30

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 15/11, 58/56, 499/30 i.e 1/9240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/11, 58/56, 499/30.

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 15/11,58/56,499/30?

Given fractions are 15/11,58/56,499/30

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 15/11,58/56,499/30, numerators are 15,58,499

Denominators are 11,56,30

The GCF of 15,58,499 is 1 .

LCM of 11,56,30 is 9240.

The greatest common factor of 15/11,58/56,499/30 = [GCF of 15,58,499]/[LCM of 11,56,30]= 1/9240

Therefore, the GCF of 15/11,58/56,499/30 is 1/9240.

Greatest Common Factor of 15,58,499

To find the highest common factor of 15,58,499, we have to find the factors of both numbers and list the highest common factor.

The factors of 15 are 1, 3, 5, 15

The factors of 58 are 1, 2, 29, 58

The factors of 499 are 1, 499

The HCF of 15,58,499 is 1.

Lets's calculate GCF of 15,58,499

Greatest Common Factor (GCF) of 15,58,499 By Common Division

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

Greatest Common Factor of 15,58,499 By Matching Biggest Common Factor Method

Now, list down the factors of 15

1,3,5,15

Now, list down the factors of 58

1,2,29,58

Now, list down the factors of 499

1,499

Greatest Common Factor

We found the factors 15,58,499 . The biggest common factor number is the GCF number.
So the greatest common factor 15,58,499 is 1.

Lets's calculate LCM of 11,56,30

Lowest Common Multiple of 11,56,30 using Common Division

2	11, 56, 30
	11, 28, 15

∴ So the LCM of the given numbers is 2 x 11 x 28 x 15 = 9240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9240

Therefore, the GCF of Fractions 15/11,58/56,499/30 is 1/9240

Least Common Multiple of 11,56,30 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 11,56,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,56,30) = 1

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

GCF(11,56,30) x common factors =1 x 2 = 2

LCM(11,56,30) = ( 11 × 56 × 30 ) / 2

LCM(11,56,30) = 18480 / 2

LCM(11,56,30) = 9240

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 15/11, 58/56, 499/30

1. What is the HCF of 15,58,499?

The HCF of 15,58,499 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 15/11, 58/56, 499/30?

Answer: GCF of Numerators as per given numbers 15/11, 58/56, 499/30 is

GCF of Numerators i.e. for 15,58,499 is 1

LCM of denominators i.e. for 11,56,30 is 9240.

Thus, GCF of Fractions is 1/9240.Finally, GCF of Fractions for 15/11, 58/56, 499/30 is 1/9240.