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GCF of 997/404, 241/752

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 997/404, 241/752 i.e 1/75952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 997/404, 241/752.

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 997/404,241/752?

Given fractions are 997/404,241/752

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 997/404,241/752, numerators are 997,241

Denominators are 404,752

The GCF of 997,241 is 1 .

LCM of 404,752 is 75952.

The greatest common factor of 997/404,241/752 = [GCF of 997,241]/[LCM of 404,752]= 1/75952

Therefore, the GCF of 997/404,241/752 is 1/75952.

Greatest Common Factor of 997,241

To find the highest common factor of 997,241, we have to find the factors of both numbers and list the highest common factor.

The factors of 997 are 1, 997

The factors of 241 are 1, 241

The HCF of 997,241 is 1.

Lets's calculate GCF of 997,241

Greatest Common Factor (GCF) of 997,241 By Common Division

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

Greatest Common Factor of 997,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 997,241 By Matching Biggest Common Factor Method

Now, list down the factors of 997

:

1,997

Now, list down the factors of 241

:

1,241

Greatest Common Factor

We found the factors 997,241 . The biggest common factor number is the GCF number.
So the greatest common factor 997,241 is 1.

Lets's calculate LCM of 404,752

Lowest Common Multiple of 404,752 using Common Division

2 404, 752
2 202, 376
101, 188

∴ So the LCM of the given numbers is 2 x 2 x 101 x 188 = 75952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75952

Therefore, the GCF of Fractions 997/404,241/752 is 1/75952

Least Common Multiple of 404,752 with GCF Formula

Least Common Multiple of 404,752 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 404,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,752) = 4

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

GCF(404,752) x common factors =4 x 1 = 4

LCM(404,752) = ( 404 × 752 ) / 4

LCM(404,752) = 303808 / 4

LCM(404,752) = 75952


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FAQs on GCF of Fractions of 997/404, 241/752

1. What is the HCF of 997,241?

The HCF of 997,241 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 997/404, 241/752?

Answer: GCF of Numerators as per given numbers 997/404, 241/752 is

GCF of Numerators i.e. for 997,241 is 1

LCM of denominators i.e. for 404,752 is 75952.

Thus, GCF of Fractions is 1/75952.Finally, GCF of Fractions for 997/404, 241/752 is 1/75952.