How to Find GCF of 337/144, 9454/3368?

GCF of 337/144, 9454/3368

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 337/144, 9454/3368 i.e 1/60624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 337/144, 9454/3368.

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 337/144,9454/3368?

Given fractions are 337/144,9454/3368

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 337/144,9454/3368, numerators are 337,9454

Denominators are 144,3368

The GCF of 337,9454 is 1 .

LCM of 144,3368 is 60624.

The greatest common factor of 337/144,9454/3368 = [GCF of 337,9454]/[LCM of 144,3368]= 1/60624

Therefore, the GCF of 337/144,9454/3368 is 1/60624.

Greatest Common Factor of 337,9454

To find the highest common factor of 337,9454, we have to find the factors of both numbers and list the highest common factor.

The factors of 337 are 1, 337

The factors of 9454 are 1, 2, 29, 58, 163, 326, 4727, 9454

The HCF of 337,9454 is 1.

Lets's calculate GCF of 337,9454

Greatest Common Factor (GCF) of 337,9454 By Common Division

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

Greatest Common Factor of 337,9454 By Matching Biggest Common Factor Method

Now, list down the factors of 337

1,337

Now, list down the factors of 9454

1,2,29,58,163,326,4727,9454

Greatest Common Factor

We found the factors 337,9454 . The biggest common factor number is the GCF number.
So the greatest common factor 337,9454 is 1.

Lets's calculate LCM of 144,3368

Lowest Common Multiple of 144,3368 using Common Division

2	144, 3368
2	72, 1684
2	36, 842
	18, 421

∴ So the LCM of the given numbers is 2 x 2 x 2 x 18 x 421 = 60624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60624

Therefore, the GCF of Fractions 337/144,9454/3368 is 1/60624

Least Common Multiple of 144,3368 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 144,3368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,3368) = 8

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

GCF(144,3368) x common factors =8 x 1 = 8

LCM(144,3368) = ( 144 × 3368 ) / 8

LCM(144,3368) = 484992 / 8

LCM(144,3368) = 60624

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FAQs on GCF of Fractions of 337/144, 9454/3368

1. What is the HCF of 337,9454?

The HCF of 337,9454 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 337/144, 9454/3368?

Answer: GCF of Numerators as per given numbers 337/144, 9454/3368 is

GCF of Numerators i.e. for 337,9454 is 1

LCM of denominators i.e. for 144,3368 is 60624.

Thus, GCF of Fractions is 1/60624.Finally, GCF of Fractions for 337/144, 9454/3368 is 1/60624.