How to Find GCF of 102/303, 4398/5723?

GCF of 102/303, 4398/5723

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 102/303, 4398/5723 i.e 6/1734069 easily. The following is the detailed procedure to determine the greatest common factor of fractions 102/303, 4398/5723.

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 102/303,4398/5723?

Given fractions are 102/303,4398/5723

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 102/303,4398/5723, numerators are 102,4398

Denominators are 303,5723

The GCF of 102,4398 is 6 .

LCM of 303,5723 is 1734069.

The greatest common factor of 102/303,4398/5723 = [GCF of 102,4398]/[LCM of 303,5723]= 6/1734069

Therefore, the GCF of 102/303,4398/5723 is 6/1734069.

Greatest Common Factor of 102,4398

To find the highest common factor of 102,4398, we have to find the factors of both numbers and list the highest common factor.

The factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102

The factors of 4398 are 1, 2, 3, 6, 733, 1466, 2199, 4398

The HCF of 102,4398 is 6.

Lets's calculate GCF of 102,4398

Greatest Common Factor (GCF) of 102,4398 By Common Division

2	102, 4398
3	51, 2199
	17, 733

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 102,4398 By Matching Biggest Common Factor Method

Now, list down the factors of 102

1,2,3,6,17,34,51,102

Now, list down the factors of 4398

1,2,3,6,733,1466,2199,4398

Greatest Common Factor

We found the factors 102,4398 . The biggest common factor number is the GCF number.
So the greatest common factor 102,4398 is 6.

Lets's calculate LCM of 303,5723

Lowest Common Multiple of 303,5723 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1734069

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1734069

Therefore, the GCF of Fractions 102/303,4398/5723 is 6/1734069

Least Common Multiple of 303,5723 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 303,5723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(303,5723) = 1

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

GCF(303,5723) x common factors =1 x 1 = 1

LCM(303,5723) = ( 303 × 5723 ) / 1

LCM(303,5723) = 1734069 / 1

LCM(303,5723) = 1734069

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FAQs on GCF of Fractions of 102/303, 4398/5723

1. What is the HCF of 102,4398?

The HCF of 102,4398 is 6

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 102/303, 4398/5723?

Answer: GCF of Numerators as per given numbers 102/303, 4398/5723 is

GCF of Numerators i.e. for 102,4398 is 6

LCM of denominators i.e. for 303,5723 is 1734069.

Thus, GCF of Fractions is 6/1734069.Finally, GCF of Fractions for 102/303, 4398/5723 is 6/1734069.