How to Find GCF of 54/353, 11/832, 618/915?

GCF of 54/353, 11/832, 618/915

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 54/353, 11/832, 618/915 i.e 1/268731840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 54/353, 11/832, 618/915.

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 54/353,11/832,618/915?

Given fractions are 54/353,11/832,618/915

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 54/353,11/832,618/915, numerators are 54,11,618

Denominators are 353,832,915

The GCF of 54,11,618 is 1 .

LCM of 353,832,915 is 268731840.

The greatest common factor of 54/353,11/832,618/915 = [GCF of 54,11,618]/[LCM of 353,832,915]= 1/268731840

Therefore, the GCF of 54/353,11/832,618/915 is 1/268731840.

Greatest Common Factor of 54,11,618

To find the highest common factor of 54,11,618, we have to find the factors of both numbers and list the highest common factor.

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54

The factors of 11 are 1, 11

The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618

The HCF of 54,11,618 is 1.

Lets's calculate GCF of 54,11,618

Greatest Common Factor (GCF) of 54,11,618 By Common Division

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

Greatest Common Factor of 54,11,618 By Matching Biggest Common Factor Method

Now, list down the factors of 54

1,2,3,6,9,18,27,54

Now, list down the factors of 11

1,11

Now, list down the factors of 618

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 54,11,618 . The biggest common factor number is the GCF number.
So the greatest common factor 54,11,618 is 1.

Lets's calculate LCM of 353,832,915

Lowest Common Multiple of 353,832,915 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 268731840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/268731840

Therefore, the GCF of Fractions 54/353,11/832,618/915 is 1/268731840

Least Common Multiple of 353,832,915 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 353,832,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,832,915) = 1

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

GCF(353,832,915) x common factors =1 x 1 = 1

LCM(353,832,915) = ( 353 × 832 × 915 ) / 1

LCM(353,832,915) = 268731840 / 1

LCM(353,832,915) = 268731840

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FAQs on GCF of Fractions of 54/353, 11/832, 618/915

1. What is the HCF of 54,11,618?

The HCF of 54,11,618 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 54/353, 11/832, 618/915?

Answer: GCF of Numerators as per given numbers 54/353, 11/832, 618/915 is

GCF of Numerators i.e. for 54,11,618 is 1

LCM of denominators i.e. for 353,832,915 is 268731840.

Thus, GCF of Fractions is 1/268731840.Finally, GCF of Fractions for 54/353, 11/832, 618/915 is 1/268731840.