How to Find GCF of 9449/394, 2414/3208?

GCF of 9449/394, 2414/3208

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 9449/394, 2414/3208 i.e 1/631976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9449/394, 2414/3208.

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 9449/394,2414/3208?

Given fractions are 9449/394,2414/3208

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 9449/394,2414/3208, numerators are 9449,2414

Denominators are 394,3208

The GCF of 9449,2414 is 1 .

LCM of 394,3208 is 631976.

The greatest common factor of 9449/394,2414/3208 = [GCF of 9449,2414]/[LCM of 394,3208]= 1/631976

Therefore, the GCF of 9449/394,2414/3208 is 1/631976.

Greatest Common Factor of 9449,2414

To find the highest common factor of 9449,2414, we have to find the factors of both numbers and list the highest common factor.

The factors of 9449 are 1, 11, 859, 9449

The factors of 2414 are 1, 2, 17, 34, 71, 142, 1207, 2414

The HCF of 9449,2414 is 1.

Lets's calculate GCF of 9449,2414

Greatest Common Factor (GCF) of 9449,2414 By Common Division

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

Greatest Common Factor of 9449,2414 By Matching Biggest Common Factor Method

Now, list down the factors of 9449

1,11,859,9449

Now, list down the factors of 2414

1,2,17,34,71,142,1207,2414

Greatest Common Factor

We found the factors 9449,2414 . The biggest common factor number is the GCF number.
So the greatest common factor 9449,2414 is 1.

Lets's calculate LCM of 394,3208

Lowest Common Multiple of 394,3208 using Common Division

2	394, 3208
	197, 1604

∴ So the LCM of the given numbers is 2 x 197 x 1604 = 631976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/631976

Therefore, the GCF of Fractions 9449/394,2414/3208 is 1/631976

Least Common Multiple of 394,3208 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 394,3208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(394,3208) = 2

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

GCF(394,3208) x common factors =2 x 1 = 2

LCM(394,3208) = ( 394 × 3208 ) / 2

LCM(394,3208) = 1263952 / 2

LCM(394,3208) = 631976

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FAQs on GCF of Fractions of 9449/394, 2414/3208

1. What is the HCF of 9449,2414?

The HCF of 9449,2414 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 9449/394, 2414/3208?

Answer: GCF of Numerators as per given numbers 9449/394, 2414/3208 is

GCF of Numerators i.e. for 9449,2414 is 1

LCM of denominators i.e. for 394,3208 is 631976.

Thus, GCF of Fractions is 1/631976.Finally, GCF of Fractions for 9449/394, 2414/3208 is 1/631976.