How to Find GCF of 8733/233, 5341/9870?

GCF of 8733/233, 5341/9870

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 8733/233, 5341/9870 i.e 1/2299710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8733/233, 5341/9870.

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 8733/233,5341/9870?

Given fractions are 8733/233,5341/9870

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 8733/233,5341/9870, numerators are 8733,5341

Denominators are 233,9870

The GCF of 8733,5341 is 1 .

LCM of 233,9870 is 2299710.

The greatest common factor of 8733/233,5341/9870 = [GCF of 8733,5341]/[LCM of 233,9870]= 1/2299710

Therefore, the GCF of 8733/233,5341/9870 is 1/2299710.

Greatest Common Factor of 8733,5341

To find the highest common factor of 8733,5341, we have to find the factors of both numbers and list the highest common factor.

The factors of 8733 are 1, 3, 41, 71, 123, 213, 2911, 8733

The factors of 5341 are 1, 7, 49, 109, 763, 5341

The HCF of 8733,5341 is 1.

Lets's calculate GCF of 8733,5341

Greatest Common Factor (GCF) of 8733,5341 By Common Division

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

Greatest Common Factor of 8733,5341 By Matching Biggest Common Factor Method

Now, list down the factors of 8733

1,3,41,71,123,213,2911,8733

Now, list down the factors of 5341

1,7,49,109,763,5341

Greatest Common Factor

We found the factors 8733,5341 . The biggest common factor number is the GCF number.
So the greatest common factor 8733,5341 is 1.

Lets's calculate LCM of 233,9870

Lowest Common Multiple of 233,9870 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2299710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2299710

Therefore, the GCF of Fractions 8733/233,5341/9870 is 1/2299710

Least Common Multiple of 233,9870 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 233,9870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,9870) = 1

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

GCF(233,9870) x common factors =1 x 1 = 1

LCM(233,9870) = ( 233 × 9870 ) / 1

LCM(233,9870) = 2299710 / 1

LCM(233,9870) = 2299710

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FAQs on GCF of Fractions of 8733/233, 5341/9870

1. What is the HCF of 8733,5341?

The HCF of 8733,5341 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 8733/233, 5341/9870?

Answer: GCF of Numerators as per given numbers 8733/233, 5341/9870 is

GCF of Numerators i.e. for 8733,5341 is 1

LCM of denominators i.e. for 233,9870 is 2299710.

Thus, GCF of Fractions is 1/2299710.Finally, GCF of Fractions for 8733/233, 5341/9870 is 1/2299710.