How to Find GCF of 2327/794, 8541/7302?

GCF of 2327/794, 8541/7302

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 2327/794, 8541/7302 i.e 13/2898894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2327/794, 8541/7302.

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 2327/794,8541/7302?

Given fractions are 2327/794,8541/7302

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 2327/794,8541/7302, numerators are 2327,8541

Denominators are 794,7302

The GCF of 2327,8541 is 13 .

LCM of 794,7302 is 2898894.

The greatest common factor of 2327/794,8541/7302 = [GCF of 2327,8541]/[LCM of 794,7302]= 13/2898894

Therefore, the GCF of 2327/794,8541/7302 is 13/2898894.

Greatest Common Factor of 2327,8541

To find the highest common factor of 2327,8541, we have to find the factors of both numbers and list the highest common factor.

The factors of 2327 are 1, 13, 179, 2327

The factors of 8541 are 1, 3, 9, 13, 39, 73, 117, 219, 657, 949, 2847, 8541

The HCF of 2327,8541 is 13.

Lets's calculate GCF of 2327,8541

Greatest Common Factor (GCF) of 2327,8541 By Common Division

13	2327, 8541
	179, 657

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 2327,8541 By Matching Biggest Common Factor Method

Now, list down the factors of 2327

1,13,179,2327

Now, list down the factors of 8541

1,3,9,13,39,73,117,219,657,949,2847,8541

Greatest Common Factor

We found the factors 2327,8541 . The biggest common factor number is the GCF number.
So the greatest common factor 2327,8541 is 13.

Lets's calculate LCM of 794,7302

Lowest Common Multiple of 794,7302 using Common Division

2	794, 7302
	397, 3651

∴ So the LCM of the given numbers is 2 x 397 x 3651 = 2898894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2898894

Therefore, the GCF of Fractions 2327/794,8541/7302 is 13/2898894

Least Common Multiple of 794,7302 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 794,7302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,7302) = 2

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

GCF(794,7302) x common factors =2 x 1 = 2

LCM(794,7302) = ( 794 × 7302 ) / 2

LCM(794,7302) = 5797788 / 2

LCM(794,7302) = 2898894

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FAQs on GCF of Fractions of 2327/794, 8541/7302

1. What is the HCF of 2327,8541?

The HCF of 2327,8541 is 13

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 2327/794, 8541/7302?

Answer: GCF of Numerators as per given numbers 2327/794, 8541/7302 is

GCF of Numerators i.e. for 2327,8541 is 13

LCM of denominators i.e. for 794,7302 is 2898894.

Thus, GCF of Fractions is 13/2898894.Finally, GCF of Fractions for 2327/794, 8541/7302 is 13/2898894.