How to Find GCF of 3343/324, 3733/9208?

GCF of 3343/324, 3733/9208

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 3343/324, 3733/9208 i.e 1/745848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3343/324, 3733/9208.

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 3343/324,3733/9208?

Given fractions are 3343/324,3733/9208

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 3343/324,3733/9208, numerators are 3343,3733

Denominators are 324,9208

The GCF of 3343,3733 is 1 .

LCM of 324,9208 is 745848.

The greatest common factor of 3343/324,3733/9208 = [GCF of 3343,3733]/[LCM of 324,9208]= 1/745848

Therefore, the GCF of 3343/324,3733/9208 is 1/745848.

Greatest Common Factor of 3343,3733

To find the highest common factor of 3343,3733, we have to find the factors of both numbers and list the highest common factor.

The factors of 3343 are 1, 3343

The factors of 3733 are 1, 3733

The HCF of 3343,3733 is 1.

Lets's calculate GCF of 3343,3733

Greatest Common Factor (GCF) of 3343,3733 By Common Division

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

Greatest Common Factor of 3343,3733 By Matching Biggest Common Factor Method

Now, list down the factors of 3343

1,3343

Now, list down the factors of 3733

1,3733

Greatest Common Factor

We found the factors 3343,3733 . The biggest common factor number is the GCF number.
So the greatest common factor 3343,3733 is 1.

Lets's calculate LCM of 324,9208

Lowest Common Multiple of 324,9208 using Common Division

2	324, 9208
2	162, 4604
	81, 2302

∴ So the LCM of the given numbers is 2 x 2 x 81 x 2302 = 745848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/745848

Therefore, the GCF of Fractions 3343/324,3733/9208 is 1/745848

Least Common Multiple of 324,9208 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 324,9208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,9208) = 4

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

GCF(324,9208) x common factors =4 x 1 = 4

LCM(324,9208) = ( 324 × 9208 ) / 4

LCM(324,9208) = 2983392 / 4

LCM(324,9208) = 745848

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FAQs on GCF of Fractions of 3343/324, 3733/9208

1. What is the HCF of 3343,3733?

The HCF of 3343,3733 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 3343/324, 3733/9208?

Answer: GCF of Numerators as per given numbers 3343/324, 3733/9208 is

GCF of Numerators i.e. for 3343,3733 is 1

LCM of denominators i.e. for 324,9208 is 745848.

Thus, GCF of Fractions is 1/745848.Finally, GCF of Fractions for 3343/324, 3733/9208 is 1/745848.