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GCF of 327/230, 109/363

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 327/230, 109/363 i.e 109/83490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 327/230, 109/363.

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 327/230,109/363?

Given fractions are 327/230,109/363

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 327/230,109/363, numerators are 327,109

Denominators are 230,363

The GCF of 327,109 is 109 .

LCM of 230,363 is 83490.

The greatest common factor of 327/230,109/363 = [GCF of 327,109]/[LCM of 230,363]= 109/83490

Therefore, the GCF of 327/230,109/363 is 109/83490.

Greatest Common Factor of 327,109

To find the highest common factor of 327,109, we have to find the factors of both numbers and list the highest common factor.

The factors of 327 are 1, 3, 109, 327

The factors of 109 are 1, 109

The HCF of 327,109 is 109.

Lets's calculate GCF of 327,109

Greatest Common Factor (GCF) of 327,109 By Common Division

109 327, 109
3, 1

∴ So the GCF of the given numbers is 109 = 109

Greatest Common Factor of 327,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,109 By Matching Biggest Common Factor Method

Now, list down the factors of 327

:

1,3,109,327

Now, list down the factors of 109

:

1,109

Greatest Common Factor

We found the factors 327,109 . The biggest common factor number is the GCF number.
So the greatest common factor 327,109 is 109.

Lets's calculate LCM of 230,363

Lowest Common Multiple of 230,363 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 83490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 109/83490

Therefore, the GCF of Fractions 327/230,109/363 is 109/83490

Least Common Multiple of 230,363 with GCF Formula

Least Common Multiple of 230,363 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 230,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,363) = 1

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

GCF(230,363) x common factors =1 x 1 = 1

LCM(230,363) = ( 230 × 363 ) / 1

LCM(230,363) = 83490 / 1

LCM(230,363) = 83490


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FAQs on GCF of Fractions of 327/230, 109/363

1. What is the HCF of 327,109?

The HCF of 327,109 is 109

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 327/230, 109/363?

Answer: GCF of Numerators as per given numbers 327/230, 109/363 is

GCF of Numerators i.e. for 327,109 is 109

LCM of denominators i.e. for 230,363 is 83490.

Thus, GCF of Fractions is 109/83490.Finally, GCF of Fractions for 327/230, 109/363 is 109/83490.