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GCF of 297/480, 353/567

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 297/480, 353/567 i.e 1/90720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 297/480, 353/567.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 297/480,353/567?

Given fractions are 297/480,353/567

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 297/480,353/567, numerators are 297,353

Denominators are 480,567

The GCF of 297,353 is 1 .

LCM of 480,567 is 90720.

The greatest common factor of 297/480,353/567 = [GCF of 297,353]/[LCM of 480,567]= 1/90720

Therefore, the GCF of 297/480,353/567 is 1/90720.

Greatest Common Factor of 297,353

To find the highest common factor of 297,353, we have to find the factors of both numbers and list the highest common factor.

The factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297

The factors of 353 are 1, 353

The HCF of 297,353 is 1.

Lets's calculate GCF of 297,353

Greatest Common Factor (GCF) of 297,353 By Common Division

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

Greatest Common Factor of 297,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,353 By Matching Biggest Common Factor Method

Now, list down the factors of 297

:

1,3,9,11,27,33,99,297

Now, list down the factors of 353

:

1,353

Greatest Common Factor

We found the factors 297,353 . The biggest common factor number is the GCF number.
So the greatest common factor 297,353 is 1.

Lets's calculate LCM of 480,567

Lowest Common Multiple of 480,567 using Common Division

3 480, 567
160, 189

∴ So the LCM of the given numbers is 3 x 160 x 189 = 90720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90720

Therefore, the GCF of Fractions 297/480,353/567 is 1/90720

Least Common Multiple of 480,567 with GCF Formula

Least Common Multiple of 480,567 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 480,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,567) = 3

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

GCF(480,567) x common factors =3 x 1 = 3

LCM(480,567) = ( 480 × 567 ) / 3

LCM(480,567) = 272160 / 3

LCM(480,567) = 90720


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FAQs on GCF of Fractions of 297/480, 353/567

1. What is the HCF of 297,353?

The HCF of 297,353 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 297/480, 353/567?

Answer: GCF of Numerators as per given numbers 297/480, 353/567 is

GCF of Numerators i.e. for 297,353 is 1

LCM of denominators i.e. for 480,567 is 90720.

Thus, GCF of Fractions is 1/90720.Finally, GCF of Fractions for 297/480, 353/567 is 1/90720.