How to Find GCF of 3154/204, 4838/307?

GCF of 3154/204, 4838/307

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 3154/204, 4838/307 i.e 2/62628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3154/204, 4838/307.

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 3154/204,4838/307?

Given fractions are 3154/204,4838/307

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 3154/204,4838/307, numerators are 3154,4838

Denominators are 204,307

The GCF of 3154,4838 is 2 .

LCM of 204,307 is 62628.

The greatest common factor of 3154/204,4838/307 = [GCF of 3154,4838]/[LCM of 204,307]= 2/62628

Therefore, the GCF of 3154/204,4838/307 is 2/62628.

Greatest Common Factor of 3154,4838

To find the highest common factor of 3154,4838, we have to find the factors of both numbers and list the highest common factor.

The factors of 3154 are 1, 2, 19, 38, 83, 166, 1577, 3154

The factors of 4838 are 1, 2, 41, 59, 82, 118, 2419, 4838

The HCF of 3154,4838 is 2.

Lets's calculate GCF of 3154,4838

Greatest Common Factor (GCF) of 3154,4838 By Common Division

2	3154, 4838
	1577, 2419

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3154,4838 By Matching Biggest Common Factor Method

Now, list down the factors of 3154

1,2,19,38,83,166,1577,3154

Now, list down the factors of 4838

1,2,41,59,82,118,2419,4838

Greatest Common Factor

We found the factors 3154,4838 . The biggest common factor number is the GCF number.
So the greatest common factor 3154,4838 is 2.

Lets's calculate LCM of 204,307

Lowest Common Multiple of 204,307 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 62628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/62628

Therefore, the GCF of Fractions 3154/204,4838/307 is 2/62628

Least Common Multiple of 204,307 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 204,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,307) = 1

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

GCF(204,307) x common factors =1 x 1 = 1

LCM(204,307) = ( 204 × 307 ) / 1

LCM(204,307) = 62628 / 1

LCM(204,307) = 62628

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FAQs on GCF of Fractions of 3154/204, 4838/307

1. What is the HCF of 3154,4838?

The HCF of 3154,4838 is 2

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 3154/204, 4838/307?

Answer: GCF of Numerators as per given numbers 3154/204, 4838/307 is

GCF of Numerators i.e. for 3154,4838 is 2

LCM of denominators i.e. for 204,307 is 62628.

Thus, GCF of Fractions is 2/62628.Finally, GCF of Fractions for 3154/204, 4838/307 is 2/62628.