How to Find GCF of 9741/236, 2005/5309?

GCF of 9741/236, 2005/5309

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 9741/236, 2005/5309 i.e 1/1252924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9741/236, 2005/5309.

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 9741/236,2005/5309?

Given fractions are 9741/236,2005/5309

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 9741/236,2005/5309, numerators are 9741,2005

Denominators are 236,5309

The GCF of 9741,2005 is 1 .

LCM of 236,5309 is 1252924.

The greatest common factor of 9741/236,2005/5309 = [GCF of 9741,2005]/[LCM of 236,5309]= 1/1252924

Therefore, the GCF of 9741/236,2005/5309 is 1/1252924.

Greatest Common Factor of 9741,2005

To find the highest common factor of 9741,2005, we have to find the factors of both numbers and list the highest common factor.

The factors of 9741 are 1, 3, 17, 51, 191, 573, 3247, 9741

The factors of 2005 are 1, 5, 401, 2005

The HCF of 9741,2005 is 1.

Lets's calculate GCF of 9741,2005

Greatest Common Factor (GCF) of 9741,2005 By Common Division

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

Greatest Common Factor of 9741,2005 By Matching Biggest Common Factor Method

Now, list down the factors of 9741

1,3,17,51,191,573,3247,9741

Now, list down the factors of 2005

1,5,401,2005

Greatest Common Factor

We found the factors 9741,2005 . The biggest common factor number is the GCF number.
So the greatest common factor 9741,2005 is 1.

Lets's calculate LCM of 236,5309

Lowest Common Multiple of 236,5309 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1252924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1252924

Therefore, the GCF of Fractions 9741/236,2005/5309 is 1/1252924

Least Common Multiple of 236,5309 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 236,5309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,5309) = 1

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

GCF(236,5309) x common factors =1 x 1 = 1

LCM(236,5309) = ( 236 × 5309 ) / 1

LCM(236,5309) = 1252924 / 1

LCM(236,5309) = 1252924

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FAQs on GCF of Fractions of 9741/236, 2005/5309

1. What is the HCF of 9741,2005?

The HCF of 9741,2005 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 9741/236, 2005/5309?

Answer: GCF of Numerators as per given numbers 9741/236, 2005/5309 is

GCF of Numerators i.e. for 9741,2005 is 1

LCM of denominators i.e. for 236,5309 is 1252924.

Thus, GCF of Fractions is 1/1252924.Finally, GCF of Fractions for 9741/236, 2005/5309 is 1/1252924.