How to Find GCF of 4018/235, 2791/9165?

GCF of 4018/235, 2791/9165

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 4018/235, 2791/9165 i.e 1/9165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4018/235, 2791/9165.

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 4018/235,2791/9165?

Given fractions are 4018/235,2791/9165

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 4018/235,2791/9165, numerators are 4018,2791

Denominators are 235,9165

The GCF of 4018,2791 is 1 .

LCM of 235,9165 is 9165.

The greatest common factor of 4018/235,2791/9165 = [GCF of 4018,2791]/[LCM of 235,9165]= 1/9165

Therefore, the GCF of 4018/235,2791/9165 is 1/9165.

Greatest Common Factor of 4018,2791

To find the highest common factor of 4018,2791, we have to find the factors of both numbers and list the highest common factor.

The factors of 4018 are 1, 2, 7, 14, 41, 49, 82, 98, 287, 574, 2009, 4018

The factors of 2791 are 1, 2791

The HCF of 4018,2791 is 1.

Lets's calculate GCF of 4018,2791

Greatest Common Factor (GCF) of 4018,2791 By Common Division

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

Greatest Common Factor of 4018,2791 By Matching Biggest Common Factor Method

Now, list down the factors of 4018

1,2,7,14,41,49,82,98,287,574,2009,4018

Now, list down the factors of 2791

1,2791

Greatest Common Factor

We found the factors 4018,2791 . The biggest common factor number is the GCF number.
So the greatest common factor 4018,2791 is 1.

Lets's calculate LCM of 235,9165

Lowest Common Multiple of 235,9165 using Common Division

5	235, 9165
47	47, 1833
	1, 39

∴ So the LCM of the given numbers is 5 x 47 x 1 x 39 = 9165

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9165

Therefore, the GCF of Fractions 4018/235,2791/9165 is 1/9165

Least Common Multiple of 235,9165 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 235,9165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(235,9165) = 235

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

GCF(235,9165) x common factors =235 x 1 = 235

LCM(235,9165) = ( 235 × 9165 ) / 235

LCM(235,9165) = 2153775 / 235

LCM(235,9165) = 9165

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FAQs on GCF of Fractions of 4018/235, 2791/9165

1. What is the HCF of 4018,2791?

The HCF of 4018,2791 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 4018/235, 2791/9165?

Answer: GCF of Numerators as per given numbers 4018/235, 2791/9165 is

GCF of Numerators i.e. for 4018,2791 is 1

LCM of denominators i.e. for 235,9165 is 9165.

Thus, GCF of Fractions is 1/9165.Finally, GCF of Fractions for 4018/235, 2791/9165 is 1/9165.