How to Find GCF of 303/464, 7088/9048?

GCF of 303/464, 7088/9048

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 303/464, 7088/9048 i.e 1/18096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 303/464, 7088/9048.

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 303/464,7088/9048?

Given fractions are 303/464,7088/9048

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 303/464,7088/9048, numerators are 303,7088

Denominators are 464,9048

The GCF of 303,7088 is 1 .

LCM of 464,9048 is 18096.

The greatest common factor of 303/464,7088/9048 = [GCF of 303,7088]/[LCM of 464,9048]= 1/18096

Therefore, the GCF of 303/464,7088/9048 is 1/18096.

Greatest Common Factor of 303,7088

To find the highest common factor of 303,7088, we have to find the factors of both numbers and list the highest common factor.

The factors of 303 are 1, 3, 101, 303

The factors of 7088 are 1, 2, 4, 8, 16, 443, 886, 1772, 3544, 7088

The HCF of 303,7088 is 1.

Lets's calculate GCF of 303,7088

Greatest Common Factor (GCF) of 303,7088 By Common Division

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

Greatest Common Factor of 303,7088 By Matching Biggest Common Factor Method

Now, list down the factors of 303

1,3,101,303

Now, list down the factors of 7088

1,2,4,8,16,443,886,1772,3544,7088

Greatest Common Factor

We found the factors 303,7088 . The biggest common factor number is the GCF number.
So the greatest common factor 303,7088 is 1.

Lets's calculate LCM of 464,9048

Lowest Common Multiple of 464,9048 using Common Division

2	464, 9048
2	232, 4524
2	116, 2262
29	58, 1131
	2, 39

∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 2 x 39 = 18096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18096

Therefore, the GCF of Fractions 303/464,7088/9048 is 1/18096

Least Common Multiple of 464,9048 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 464,9048 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,9048) = 232

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

GCF(464,9048) x common factors =232 x 1 = 232

LCM(464,9048) = ( 464 × 9048 ) / 232

LCM(464,9048) = 4198272 / 232

LCM(464,9048) = 18096

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FAQs on GCF of Fractions of 303/464, 7088/9048

1. What is the HCF of 303,7088?

The HCF of 303,7088 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 303/464, 7088/9048?

Answer: GCF of Numerators as per given numbers 303/464, 7088/9048 is

GCF of Numerators i.e. for 303,7088 is 1

LCM of denominators i.e. for 464,9048 is 18096.

Thus, GCF of Fractions is 1/18096.Finally, GCF of Fractions for 303/464, 7088/9048 is 1/18096.