How to Find GCF of 4035/585, 2941/307?

GCF of 4035/585, 2941/307

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 4035/585, 2941/307 i.e 1/179595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4035/585, 2941/307.

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 4035/585,2941/307?

Given fractions are 4035/585,2941/307

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 4035/585,2941/307, numerators are 4035,2941

Denominators are 585,307

The GCF of 4035,2941 is 1 .

LCM of 585,307 is 179595.

The greatest common factor of 4035/585,2941/307 = [GCF of 4035,2941]/[LCM of 585,307]= 1/179595

Therefore, the GCF of 4035/585,2941/307 is 1/179595.

Greatest Common Factor of 4035,2941

To find the highest common factor of 4035,2941, we have to find the factors of both numbers and list the highest common factor.

The factors of 4035 are 1, 3, 5, 15, 269, 807, 1345, 4035

The factors of 2941 are 1, 17, 173, 2941

The HCF of 4035,2941 is 1.

Lets's calculate GCF of 4035,2941

Greatest Common Factor (GCF) of 4035,2941 By Common Division

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

Greatest Common Factor of 4035,2941 By Matching Biggest Common Factor Method

Now, list down the factors of 4035

1,3,5,15,269,807,1345,4035

Now, list down the factors of 2941

1,17,173,2941

Greatest Common Factor

We found the factors 4035,2941 . The biggest common factor number is the GCF number.
So the greatest common factor 4035,2941 is 1.

Lets's calculate LCM of 585,307

Lowest Common Multiple of 585,307 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 179595

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/179595

Therefore, the GCF of Fractions 4035/585,2941/307 is 1/179595

Least Common Multiple of 585,307 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 585,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,307) = 1

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

GCF(585,307) x common factors =1 x 1 = 1

LCM(585,307) = ( 585 × 307 ) / 1

LCM(585,307) = 179595 / 1

LCM(585,307) = 179595

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FAQs on GCF of Fractions of 4035/585, 2941/307

1. What is the HCF of 4035,2941?

The HCF of 4035,2941 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 4035/585, 2941/307?

Answer: GCF of Numerators as per given numbers 4035/585, 2941/307 is

GCF of Numerators i.e. for 4035,2941 is 1

LCM of denominators i.e. for 585,307 is 179595.

Thus, GCF of Fractions is 1/179595.Finally, GCF of Fractions for 4035/585, 2941/307 is 1/179595.