How to Find GCF of 9039/404, 2596/377?

GCF of 9039/404, 2596/377

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 9039/404, 2596/377 i.e 1/152308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9039/404, 2596/377.

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 9039/404,2596/377?

Given fractions are 9039/404,2596/377

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 9039/404,2596/377, numerators are 9039,2596

Denominators are 404,377

The GCF of 9039,2596 is 1 .

LCM of 404,377 is 152308.

The greatest common factor of 9039/404,2596/377 = [GCF of 9039,2596]/[LCM of 404,377]= 1/152308

Therefore, the GCF of 9039/404,2596/377 is 1/152308.

Greatest Common Factor of 9039,2596

To find the highest common factor of 9039,2596, we have to find the factors of both numbers and list the highest common factor.

The factors of 9039 are 1, 3, 23, 69, 131, 393, 3013, 9039

The factors of 2596 are 1, 2, 4, 11, 22, 44, 59, 118, 236, 649, 1298, 2596

The HCF of 9039,2596 is 1.

Lets's calculate GCF of 9039,2596

Greatest Common Factor (GCF) of 9039,2596 By Common Division

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

Greatest Common Factor of 9039,2596 By Matching Biggest Common Factor Method

Now, list down the factors of 9039

1,3,23,69,131,393,3013,9039

Now, list down the factors of 2596

1,2,4,11,22,44,59,118,236,649,1298,2596

Greatest Common Factor

We found the factors 9039,2596 . The biggest common factor number is the GCF number.
So the greatest common factor 9039,2596 is 1.

Lets's calculate LCM of 404,377

Lowest Common Multiple of 404,377 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 152308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152308

Therefore, the GCF of Fractions 9039/404,2596/377 is 1/152308

Least Common Multiple of 404,377 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 404,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,377) = 1

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

GCF(404,377) x common factors =1 x 1 = 1

LCM(404,377) = ( 404 × 377 ) / 1

LCM(404,377) = 152308 / 1

LCM(404,377) = 152308

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FAQs on GCF of Fractions of 9039/404, 2596/377

1. What is the HCF of 9039,2596?

The HCF of 9039,2596 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 9039/404, 2596/377?

Answer: GCF of Numerators as per given numbers 9039/404, 2596/377 is

GCF of Numerators i.e. for 9039,2596 is 1

LCM of denominators i.e. for 404,377 is 152308.

Thus, GCF of Fractions is 1/152308.Finally, GCF of Fractions for 9039/404, 2596/377 is 1/152308.