How to Find GCF of 2093/491, 8151/9524?

GCF of 2093/491, 8151/9524

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 2093/491, 8151/9524 i.e 13/4676284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2093/491, 8151/9524.

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 2093/491,8151/9524?

Given fractions are 2093/491,8151/9524

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 2093/491,8151/9524, numerators are 2093,8151

Denominators are 491,9524

The GCF of 2093,8151 is 13 .

LCM of 491,9524 is 4676284.

The greatest common factor of 2093/491,8151/9524 = [GCF of 2093,8151]/[LCM of 491,9524]= 13/4676284

Therefore, the GCF of 2093/491,8151/9524 is 13/4676284.

Greatest Common Factor of 2093,8151

To find the highest common factor of 2093,8151, we have to find the factors of both numbers and list the highest common factor.

The factors of 2093 are 1, 7, 13, 23, 91, 161, 299, 2093

The factors of 8151 are 1, 3, 11, 13, 19, 33, 39, 57, 143, 209, 247, 429, 627, 741, 2717, 8151

The HCF of 2093,8151 is 13.

Lets's calculate GCF of 2093,8151

Greatest Common Factor (GCF) of 2093,8151 By Common Division

13	2093, 8151
	161, 627

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

Greatest Common Factor of 2093,8151 By Matching Biggest Common Factor Method

Now, list down the factors of 2093

1,7,13,23,91,161,299,2093

Now, list down the factors of 8151

1,3,11,13,19,33,39,57,143,209,247,429,627,741,2717,8151

Greatest Common Factor

We found the factors 2093,8151 . The biggest common factor number is the GCF number.
So the greatest common factor 2093,8151 is 13.

Lets's calculate LCM of 491,9524

Lowest Common Multiple of 491,9524 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4676284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/4676284

Therefore, the GCF of Fractions 2093/491,8151/9524 is 13/4676284

Least Common Multiple of 491,9524 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 491,9524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,9524) = 1

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

GCF(491,9524) x common factors =1 x 1 = 1

LCM(491,9524) = ( 491 × 9524 ) / 1

LCM(491,9524) = 4676284 / 1

LCM(491,9524) = 4676284

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FAQs on GCF of Fractions of 2093/491, 8151/9524

1. What is the HCF of 2093,8151?

The HCF of 2093,8151 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 2093/491, 8151/9524?

Answer: GCF of Numerators as per given numbers 2093/491, 8151/9524 is

GCF of Numerators i.e. for 2093,8151 is 13

LCM of denominators i.e. for 491,9524 is 4676284.

Thus, GCF of Fractions is 13/4676284.Finally, GCF of Fractions for 2093/491, 8151/9524 is 13/4676284.