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GCF of 8221/293, 2913/8204

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 8221/293, 2913/8204 i.e 1/8204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8221/293, 2913/8204.

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 8221/293,2913/8204?

Given fractions are 8221/293,2913/8204

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 8221/293,2913/8204, numerators are 8221,2913

Denominators are 293,8204

The GCF of 8221,2913 is 1 .

LCM of 293,8204 is 8204.

The greatest common factor of 8221/293,2913/8204 = [GCF of 8221,2913]/[LCM of 293,8204]= 1/8204

Therefore, the GCF of 8221/293,2913/8204 is 1/8204.

Greatest Common Factor of 8221,2913

To find the highest common factor of 8221,2913, we have to find the factors of both numbers and list the highest common factor.

The factors of 8221 are 1, 8221

The factors of 2913 are 1, 3, 971, 2913

The HCF of 8221,2913 is 1.

Lets's calculate GCF of 8221,2913

Greatest Common Factor (GCF) of 8221,2913 By Common Division

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

Greatest Common Factor of 8221,2913 By Matching Biggest Common Factor Method

Greatest Common Factor of 8221,2913 By Matching Biggest Common Factor Method

Now, list down the factors of 8221

:

1,8221

Now, list down the factors of 2913

:

1,3,971,2913

Greatest Common Factor

We found the factors 8221,2913 . The biggest common factor number is the GCF number.
So the greatest common factor 8221,2913 is 1.

Lets's calculate LCM of 293,8204

Lowest Common Multiple of 293,8204 using Common Division

293 293, 8204
1, 28

∴ So the LCM of the given numbers is 293 x 1 x 28 = 8204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8204

Therefore, the GCF of Fractions 8221/293,2913/8204 is 1/8204

Least Common Multiple of 293,8204 with GCF Formula

Least Common Multiple of 293,8204 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 293,8204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,8204) = 293

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

GCF(293,8204) x common factors =293 x 1 = 293

LCM(293,8204) = ( 293 × 8204 ) / 293

LCM(293,8204) = 2403772 / 293

LCM(293,8204) = 8204


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FAQs on GCF of Fractions of 8221/293, 2913/8204

1. What is the HCF of 8221,2913?

The HCF of 8221,2913 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 8221/293, 2913/8204?

Answer: GCF of Numerators as per given numbers 8221/293, 2913/8204 is

GCF of Numerators i.e. for 8221,2913 is 1

LCM of denominators i.e. for 293,8204 is 8204.

Thus, GCF of Fractions is 1/8204.Finally, GCF of Fractions for 8221/293, 2913/8204 is 1/8204.