How to Find GCF of 5857/238, 8396/4548?

GCF of 5857/238, 8396/4548

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 5857/238, 8396/4548 i.e 1/541212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5857/238, 8396/4548.

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 5857/238,8396/4548?

Given fractions are 5857/238,8396/4548

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 5857/238,8396/4548, numerators are 5857,8396

Denominators are 238,4548

The GCF of 5857,8396 is 1 .

LCM of 238,4548 is 541212.

The greatest common factor of 5857/238,8396/4548 = [GCF of 5857,8396]/[LCM of 238,4548]= 1/541212

Therefore, the GCF of 5857/238,8396/4548 is 1/541212.

Greatest Common Factor of 5857,8396

To find the highest common factor of 5857,8396, we have to find the factors of both numbers and list the highest common factor.

The factors of 5857 are 1, 5857

The factors of 8396 are 1, 2, 4, 2099, 4198, 8396

The HCF of 5857,8396 is 1.

Lets's calculate GCF of 5857,8396

Greatest Common Factor (GCF) of 5857,8396 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5857,8396 By Matching Biggest Common Factor Method

Now, list down the factors of 5857

1,5857

Now, list down the factors of 8396

1,2,4,2099,4198,8396

Greatest Common Factor

We found the factors 5857,8396 . The biggest common factor number is the GCF number.
So the greatest common factor 5857,8396 is 1.

Lets's calculate LCM of 238,4548

Lowest Common Multiple of 238,4548 using Common Division

2	238, 4548
	119, 2274

∴ So the LCM of the given numbers is 2 x 119 x 2274 = 541212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/541212

Therefore, the GCF of Fractions 5857/238,8396/4548 is 1/541212

Least Common Multiple of 238,4548 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 238,4548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,4548) = 2

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

GCF(238,4548) x common factors =2 x 1 = 2

LCM(238,4548) = ( 238 × 4548 ) / 2

LCM(238,4548) = 1082424 / 2

LCM(238,4548) = 541212

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FAQs on GCF of Fractions of 5857/238, 8396/4548

1. What is the HCF of 5857,8396?

The HCF of 5857,8396 is 1

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 5857/238, 8396/4548?

Answer: GCF of Numerators as per given numbers 5857/238, 8396/4548 is

GCF of Numerators i.e. for 5857,8396 is 1

LCM of denominators i.e. for 238,4548 is 541212.

Thus, GCF of Fractions is 1/541212.Finally, GCF of Fractions for 5857/238, 8396/4548 is 1/541212.