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GCF of 297/92, 663/376

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 297/92, 663/376 i.e 3/8648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 297/92, 663/376.

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 297/92,663/376?

Given fractions are 297/92,663/376

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 297/92,663/376, numerators are 297,663

Denominators are 92,376

The GCF of 297,663 is 3 .

LCM of 92,376 is 8648.

The greatest common factor of 297/92,663/376 = [GCF of 297,663]/[LCM of 92,376]= 3/8648

Therefore, the GCF of 297/92,663/376 is 3/8648.

Greatest Common Factor of 297,663

To find the highest common factor of 297,663, 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 663 are 1, 3, 13, 17, 39, 51, 221, 663

The HCF of 297,663 is 3.

Lets's calculate GCF of 297,663

Greatest Common Factor (GCF) of 297,663 By Common Division

3 297, 663
99, 221

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 297,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,663 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 663

:

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 297,663 . The biggest common factor number is the GCF number.
So the greatest common factor 297,663 is 3.

Lets's calculate LCM of 92,376

Lowest Common Multiple of 92,376 using Common Division

2 92, 376
2 46, 188
23, 94

∴ So the LCM of the given numbers is 2 x 2 x 23 x 94 = 8648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8648

Therefore, the GCF of Fractions 297/92,663/376 is 3/8648

Least Common Multiple of 92,376 with GCF Formula

Least Common Multiple of 92,376 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 92,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,376) = 4

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

GCF(92,376) x common factors =4 x 1 = 4

LCM(92,376) = ( 92 × 376 ) / 4

LCM(92,376) = 34592 / 4

LCM(92,376) = 8648


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FAQs on GCF of Fractions of 297/92, 663/376

1. What is the HCF of 297,663?

The HCF of 297,663 is 3

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 297/92, 663/376?

Answer: GCF of Numerators as per given numbers 297/92, 663/376 is

GCF of Numerators i.e. for 297,663 is 3

LCM of denominators i.e. for 92,376 is 8648.

Thus, GCF of Fractions is 3/8648.Finally, GCF of Fractions for 297/92, 663/376 is 3/8648.