How to Find GCF of 3363/432, 7083/865?

GCF of 3363/432, 7083/865

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 3363/432, 7083/865 i.e 3/373680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3363/432, 7083/865.

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 3363/432,7083/865?

Given fractions are 3363/432,7083/865

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 3363/432,7083/865, numerators are 3363,7083

Denominators are 432,865

The GCF of 3363,7083 is 3 .

LCM of 432,865 is 373680.

The greatest common factor of 3363/432,7083/865 = [GCF of 3363,7083]/[LCM of 432,865]= 3/373680

Therefore, the GCF of 3363/432,7083/865 is 3/373680.

Greatest Common Factor of 3363,7083

To find the highest common factor of 3363,7083, we have to find the factors of both numbers and list the highest common factor.

The factors of 3363 are 1, 3, 19, 57, 59, 177, 1121, 3363

The factors of 7083 are 1, 3, 9, 787, 2361, 7083

The HCF of 3363,7083 is 3.

Lets's calculate GCF of 3363,7083

Greatest Common Factor (GCF) of 3363,7083 By Common Division

3	3363, 7083
	1121, 2361

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

Greatest Common Factor of 3363,7083 By Matching Biggest Common Factor Method

Now, list down the factors of 3363

1,3,19,57,59,177,1121,3363

Now, list down the factors of 7083

1,3,9,787,2361,7083

Greatest Common Factor

We found the factors 3363,7083 . The biggest common factor number is the GCF number.
So the greatest common factor 3363,7083 is 3.

Lets's calculate LCM of 432,865

Lowest Common Multiple of 432,865 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 373680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/373680

Therefore, the GCF of Fractions 3363/432,7083/865 is 3/373680

Least Common Multiple of 432,865 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 432,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,865) = 1

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

GCF(432,865) x common factors =1 x 1 = 1

LCM(432,865) = ( 432 × 865 ) / 1

LCM(432,865) = 373680 / 1

LCM(432,865) = 373680

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FAQs on GCF of Fractions of 3363/432, 7083/865

1. What is the HCF of 3363,7083?

The HCF of 3363,7083 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 3363/432, 7083/865?

Answer: GCF of Numerators as per given numbers 3363/432, 7083/865 is

GCF of Numerators i.e. for 3363,7083 is 3

LCM of denominators i.e. for 432,865 is 373680.

Thus, GCF of Fractions is 3/373680.Finally, GCF of Fractions for 3363/432, 7083/865 is 3/373680.