How to Find GCF of 196/404, 1108/238?

GCF of 196/404, 1108/238

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 196/404, 1108/238 i.e 4/48076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 196/404, 1108/238.

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 196/404,1108/238?

Given fractions are 196/404,1108/238

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 196/404,1108/238, numerators are 196,1108

Denominators are 404,238

The GCF of 196,1108 is 4 .

LCM of 404,238 is 48076.

The greatest common factor of 196/404,1108/238 = [GCF of 196,1108]/[LCM of 404,238]= 4/48076

Therefore, the GCF of 196/404,1108/238 is 4/48076.

Greatest Common Factor of 196,1108

To find the highest common factor of 196,1108, we have to find the factors of both numbers and list the highest common factor.

The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196

The factors of 1108 are 1, 2, 4, 277, 554, 1108

The HCF of 196,1108 is 4.

Lets's calculate GCF of 196,1108

Greatest Common Factor (GCF) of 196,1108 By Common Division

2	196, 1108
2	98, 554
	49, 277

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 196,1108 By Matching Biggest Common Factor Method

Now, list down the factors of 196

1,2,4,7,14,28,49,98,196

Now, list down the factors of 1108

1,2,4,277,554,1108

Greatest Common Factor

We found the factors 196,1108 . The biggest common factor number is the GCF number.
So the greatest common factor 196,1108 is 4.

Lets's calculate LCM of 404,238

Lowest Common Multiple of 404,238 using Common Division

2	404, 238
	202, 119

∴ So the LCM of the given numbers is 2 x 202 x 119 = 48076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/48076

Therefore, the GCF of Fractions 196/404,1108/238 is 4/48076

Least Common Multiple of 404,238 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 404,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,238) = 2

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

GCF(404,238) x common factors =2 x 1 = 2

LCM(404,238) = ( 404 × 238 ) / 2

LCM(404,238) = 96152 / 2

LCM(404,238) = 48076

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FAQs on GCF of Fractions of 196/404, 1108/238

1. What is the HCF of 196,1108?

The HCF of 196,1108 is 4

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 196/404, 1108/238?

Answer: GCF of Numerators as per given numbers 196/404, 1108/238 is

GCF of Numerators i.e. for 196,1108 is 4

LCM of denominators i.e. for 404,238 is 48076.

Thus, GCF of Fractions is 4/48076.Finally, GCF of Fractions for 196/404, 1108/238 is 4/48076.