How to Find GCF of 9431/587, 4038/5301?

GCF of 9431/587, 4038/5301

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 9431/587, 4038/5301 i.e 1/3111687 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9431/587, 4038/5301.

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 9431/587,4038/5301?

Given fractions are 9431/587,4038/5301

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 9431/587,4038/5301, numerators are 9431,4038

Denominators are 587,5301

The GCF of 9431,4038 is 1 .

LCM of 587,5301 is 3111687.

The greatest common factor of 9431/587,4038/5301 = [GCF of 9431,4038]/[LCM of 587,5301]= 1/3111687

Therefore, the GCF of 9431/587,4038/5301 is 1/3111687.

Greatest Common Factor of 9431,4038

To find the highest common factor of 9431,4038, we have to find the factors of both numbers and list the highest common factor.

The factors of 9431 are 1, 9431

The factors of 4038 are 1, 2, 3, 6, 673, 1346, 2019, 4038

The HCF of 9431,4038 is 1.

Lets's calculate GCF of 9431,4038

Greatest Common Factor (GCF) of 9431,4038 By Common Division

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

Greatest Common Factor of 9431,4038 By Matching Biggest Common Factor Method

Now, list down the factors of 9431

1,9431

Now, list down the factors of 4038

1,2,3,6,673,1346,2019,4038

Greatest Common Factor

We found the factors 9431,4038 . The biggest common factor number is the GCF number.
So the greatest common factor 9431,4038 is 1.

Lets's calculate LCM of 587,5301

Lowest Common Multiple of 587,5301 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3111687

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3111687

Therefore, the GCF of Fractions 9431/587,4038/5301 is 1/3111687

Least Common Multiple of 587,5301 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 587,5301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,5301) = 1

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

GCF(587,5301) x common factors =1 x 1 = 1

LCM(587,5301) = ( 587 × 5301 ) / 1

LCM(587,5301) = 3111687 / 1

LCM(587,5301) = 3111687

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FAQs on GCF of Fractions of 9431/587, 4038/5301

1. What is the HCF of 9431,4038?

The HCF of 9431,4038 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 9431/587, 4038/5301?

Answer: GCF of Numerators as per given numbers 9431/587, 4038/5301 is

GCF of Numerators i.e. for 9431,4038 is 1

LCM of denominators i.e. for 587,5301 is 3111687.

Thus, GCF of Fractions is 1/3111687.Finally, GCF of Fractions for 9431/587, 4038/5301 is 1/3111687.