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GCF of 9995/663, 4721/1137

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 9995/663, 4721/1137 i.e 1/251277 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9995/663, 4721/1137.

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 9995/663,4721/1137?

Given fractions are 9995/663,4721/1137

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 9995/663,4721/1137, numerators are 9995,4721

Denominators are 663,1137

The GCF of 9995,4721 is 1 .

LCM of 663,1137 is 251277.

The greatest common factor of 9995/663,4721/1137 = [GCF of 9995,4721]/[LCM of 663,1137]= 1/251277

Therefore, the GCF of 9995/663,4721/1137 is 1/251277.

Greatest Common Factor of 9995,4721

To find the highest common factor of 9995,4721, we have to find the factors of both numbers and list the highest common factor.

The factors of 9995 are 1, 5, 1999, 9995

The factors of 4721 are 1, 4721

The HCF of 9995,4721 is 1.

Lets's calculate GCF of 9995,4721

Greatest Common Factor (GCF) of 9995,4721 By Common Division

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

Greatest Common Factor of 9995,4721 By Matching Biggest Common Factor Method

Greatest Common Factor of 9995,4721 By Matching Biggest Common Factor Method

Now, list down the factors of 9995

:

1,5,1999,9995

Now, list down the factors of 4721

:

1,4721

Greatest Common Factor

We found the factors 9995,4721 . The biggest common factor number is the GCF number.
So the greatest common factor 9995,4721 is 1.

Lets's calculate LCM of 663,1137

Lowest Common Multiple of 663,1137 using Common Division

3 663, 1137
221, 379

∴ So the LCM of the given numbers is 3 x 221 x 379 = 251277

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/251277

Therefore, the GCF of Fractions 9995/663,4721/1137 is 1/251277

Least Common Multiple of 663,1137 with GCF Formula

Least Common Multiple of 663,1137 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 663,1137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,1137) = 3

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

GCF(663,1137) x common factors =3 x 1 = 3

LCM(663,1137) = ( 663 × 1137 ) / 3

LCM(663,1137) = 753831 / 3

LCM(663,1137) = 251277


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FAQs on GCF of Fractions of 9995/663, 4721/1137

1. What is the HCF of 9995,4721?

The HCF of 9995,4721 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 9995/663, 4721/1137?

Answer: GCF of Numerators as per given numbers 9995/663, 4721/1137 is

GCF of Numerators i.e. for 9995,4721 is 1

LCM of denominators i.e. for 663,1137 is 251277.

Thus, GCF of Fractions is 1/251277.Finally, GCF of Fractions for 9995/663, 4721/1137 is 1/251277.