How to Find GCF of 48/472, 53/309, 983/389?

GCF of 48/472, 53/309, 983/389

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 48/472, 53/309, 983/389 i.e 1/56734872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/472, 53/309, 983/389.

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 48/472,53/309,983/389?

Given fractions are 48/472,53/309,983/389

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 48/472,53/309,983/389, numerators are 48,53,983

Denominators are 472,309,389

The GCF of 48,53,983 is 1 .

LCM of 472,309,389 is 56734872.

The greatest common factor of 48/472,53/309,983/389 = [GCF of 48,53,983]/[LCM of 472,309,389]= 1/56734872

Therefore, the GCF of 48/472,53/309,983/389 is 1/56734872.

Greatest Common Factor of 48,53,983

To find the highest common factor of 48,53,983, we have to find the factors of both numbers and list the highest common factor.

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 53 are 1, 53

The factors of 983 are 1, 983

The HCF of 48,53,983 is 1.

Lets's calculate GCF of 48,53,983

Greatest Common Factor (GCF) of 48,53,983 By Common Division

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

Greatest Common Factor of 48,53,983 By Matching Biggest Common Factor Method

Now, list down the factors of 48

1,2,3,4,6,8,12,16,24,48

Now, list down the factors of 53

1,53

Now, list down the factors of 983

1,983

Greatest Common Factor

We found the factors 48,53,983 . The biggest common factor number is the GCF number.
So the greatest common factor 48,53,983 is 1.

Lets's calculate LCM of 472,309,389

Lowest Common Multiple of 472,309,389 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 56734872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56734872

Therefore, the GCF of Fractions 48/472,53/309,983/389 is 1/56734872

Least Common Multiple of 472,309,389 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 472,309,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,309,389) = 1

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

GCF(472,309,389) x common factors =1 x 1 = 1

LCM(472,309,389) = ( 472 × 309 × 389 ) / 1

LCM(472,309,389) = 56734872 / 1

LCM(472,309,389) = 56734872

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FAQs on GCF of Fractions of 48/472, 53/309, 983/389

1. What is the HCF of 48,53,983?

The HCF of 48,53,983 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 48/472, 53/309, 983/389?

Answer: GCF of Numerators as per given numbers 48/472, 53/309, 983/389 is

GCF of Numerators i.e. for 48,53,983 is 1

LCM of denominators i.e. for 472,309,389 is 56734872.

Thus, GCF of Fractions is 1/56734872.Finally, GCF of Fractions for 48/472, 53/309, 983/389 is 1/56734872.