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GCF of 8043/231, 2213/1295

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 8043/231, 2213/1295 i.e 1/42735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8043/231, 2213/1295.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 8043/231,2213/1295?

Given fractions are 8043/231,2213/1295

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 8043/231,2213/1295, numerators are 8043,2213

Denominators are 231,1295

The GCF of 8043,2213 is 1 .

LCM of 231,1295 is 42735.

The greatest common factor of 8043/231,2213/1295 = [GCF of 8043,2213]/[LCM of 231,1295]= 1/42735

Therefore, the GCF of 8043/231,2213/1295 is 1/42735.

Greatest Common Factor of 8043,2213

To find the highest common factor of 8043,2213, we have to find the factors of both numbers and list the highest common factor.

The factors of 8043 are 1, 3, 7, 21, 383, 1149, 2681, 8043

The factors of 2213 are 1, 2213

The HCF of 8043,2213 is 1.

Lets's calculate GCF of 8043,2213

Greatest Common Factor (GCF) of 8043,2213 By Common Division

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

Greatest Common Factor of 8043,2213 By Matching Biggest Common Factor Method

Greatest Common Factor of 8043,2213 By Matching Biggest Common Factor Method

Now, list down the factors of 8043

:

1,3,7,21,383,1149,2681,8043

Now, list down the factors of 2213

:

1,2213

Greatest Common Factor

We found the factors 8043,2213 . The biggest common factor number is the GCF number.
So the greatest common factor 8043,2213 is 1.

Lets's calculate LCM of 231,1295

Lowest Common Multiple of 231,1295 using Common Division

7 231, 1295
33, 185

∴ So the LCM of the given numbers is 7 x 33 x 185 = 42735

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42735

Therefore, the GCF of Fractions 8043/231,2213/1295 is 1/42735

Least Common Multiple of 231,1295 with GCF Formula

Least Common Multiple of 231,1295 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 231,1295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,1295) = 7

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

GCF(231,1295) x common factors =7 x 1 = 7

LCM(231,1295) = ( 231 × 1295 ) / 7

LCM(231,1295) = 299145 / 7

LCM(231,1295) = 42735


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8043/231, 2213/1295

1. What is the HCF of 8043,2213?

The HCF of 8043,2213 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 8043/231, 2213/1295?

Answer: GCF of Numerators as per given numbers 8043/231, 2213/1295 is

GCF of Numerators i.e. for 8043,2213 is 1

LCM of denominators i.e. for 231,1295 is 42735.

Thus, GCF of Fractions is 1/42735.Finally, GCF of Fractions for 8043/231, 2213/1295 is 1/42735.