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GCF of 321/236, 6183/6919

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 321/236, 6183/6919 i.e 3/1632884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 321/236, 6183/6919.

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 321/236,6183/6919?

Given fractions are 321/236,6183/6919

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 321/236,6183/6919, numerators are 321,6183

Denominators are 236,6919

The GCF of 321,6183 is 3 .

LCM of 236,6919 is 1632884.

The greatest common factor of 321/236,6183/6919 = [GCF of 321,6183]/[LCM of 236,6919]= 3/1632884

Therefore, the GCF of 321/236,6183/6919 is 3/1632884.

Greatest Common Factor of 321,6183

To find the highest common factor of 321,6183, we have to find the factors of both numbers and list the highest common factor.

The factors of 321 are 1, 3, 107, 321

The factors of 6183 are 1, 3, 9, 27, 229, 687, 2061, 6183

The HCF of 321,6183 is 3.

Lets's calculate GCF of 321,6183

Greatest Common Factor (GCF) of 321,6183 By Common Division

3 321, 6183
107, 2061

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 321,6183 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,6183 By Matching Biggest Common Factor Method

Now, list down the factors of 321

:

1,3,107,321

Now, list down the factors of 6183

:

1,3,9,27,229,687,2061,6183

Greatest Common Factor

We found the factors 321,6183 . The biggest common factor number is the GCF number.
So the greatest common factor 321,6183 is 3.

Lets's calculate LCM of 236,6919

Lowest Common Multiple of 236,6919 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1632884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1632884

Therefore, the GCF of Fractions 321/236,6183/6919 is 3/1632884

Least Common Multiple of 236,6919 with GCF Formula

Least Common Multiple of 236,6919 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 236,6919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,6919) = 1

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

GCF(236,6919) x common factors =1 x 1 = 1

LCM(236,6919) = ( 236 × 6919 ) / 1

LCM(236,6919) = 1632884 / 1

LCM(236,6919) = 1632884


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FAQs on GCF of Fractions of 321/236, 6183/6919

1. What is the HCF of 321,6183?

The HCF of 321,6183 is 3

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 321/236, 6183/6919?

Answer: GCF of Numerators as per given numbers 321/236, 6183/6919 is

GCF of Numerators i.e. for 321,6183 is 3

LCM of denominators i.e. for 236,6919 is 1632884.

Thus, GCF of Fractions is 3/1632884.Finally, GCF of Fractions for 321/236, 6183/6919 is 3/1632884.