How to Find GCF of 5173/183, 8282/5735?

GCF of 5173/183, 8282/5735

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 5173/183, 8282/5735 i.e 1/1049505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5173/183, 8282/5735.

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 5173/183,8282/5735?

Given fractions are 5173/183,8282/5735

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 5173/183,8282/5735, numerators are 5173,8282

Denominators are 183,5735

The GCF of 5173,8282 is 1 .

LCM of 183,5735 is 1049505.

The greatest common factor of 5173/183,8282/5735 = [GCF of 5173,8282]/[LCM of 183,5735]= 1/1049505

Therefore, the GCF of 5173/183,8282/5735 is 1/1049505.

Greatest Common Factor of 5173,8282

To find the highest common factor of 5173,8282, we have to find the factors of both numbers and list the highest common factor.

The factors of 5173 are 1, 7, 739, 5173

The factors of 8282 are 1, 2, 41, 82, 101, 202, 4141, 8282

The HCF of 5173,8282 is 1.

Lets's calculate GCF of 5173,8282

Greatest Common Factor (GCF) of 5173,8282 By Common Division

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

Greatest Common Factor of 5173,8282 By Matching Biggest Common Factor Method

Now, list down the factors of 5173

1,7,739,5173

Now, list down the factors of 8282

1,2,41,82,101,202,4141,8282

Greatest Common Factor

We found the factors 5173,8282 . The biggest common factor number is the GCF number.
So the greatest common factor 5173,8282 is 1.

Lets's calculate LCM of 183,5735

Lowest Common Multiple of 183,5735 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1049505

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1049505

Therefore, the GCF of Fractions 5173/183,8282/5735 is 1/1049505

Least Common Multiple of 183,5735 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 183,5735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(183,5735) = 1

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

GCF(183,5735) x common factors =1 x 1 = 1

LCM(183,5735) = ( 183 × 5735 ) / 1

LCM(183,5735) = 1049505 / 1

LCM(183,5735) = 1049505

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FAQs on GCF of Fractions of 5173/183, 8282/5735

1. What is the HCF of 5173,8282?

The HCF of 5173,8282 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 5173/183, 8282/5735?

Answer: GCF of Numerators as per given numbers 5173/183, 8282/5735 is

GCF of Numerators i.e. for 5173,8282 is 1

LCM of denominators i.e. for 183,5735 is 1049505.

Thus, GCF of Fractions is 1/1049505.Finally, GCF of Fractions for 5173/183, 8282/5735 is 1/1049505.