How to Find GCF of 4641/594, 7306/6652?

GCF of 4641/594, 7306/6652

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 4641/594, 7306/6652 i.e 13/1975644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4641/594, 7306/6652.

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 4641/594,7306/6652?

Given fractions are 4641/594,7306/6652

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 4641/594,7306/6652, numerators are 4641,7306

Denominators are 594,6652

The GCF of 4641,7306 is 13 .

LCM of 594,6652 is 1975644.

The greatest common factor of 4641/594,7306/6652 = [GCF of 4641,7306]/[LCM of 594,6652]= 13/1975644

Therefore, the GCF of 4641/594,7306/6652 is 13/1975644.

Greatest Common Factor of 4641,7306

To find the highest common factor of 4641,7306, we have to find the factors of both numbers and list the highest common factor.

The factors of 4641 are 1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547, 4641

The factors of 7306 are 1, 2, 13, 26, 281, 562, 3653, 7306

The HCF of 4641,7306 is 13.

Lets's calculate GCF of 4641,7306

Greatest Common Factor (GCF) of 4641,7306 By Common Division

13	4641, 7306
	357, 562

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 4641,7306 By Matching Biggest Common Factor Method

Now, list down the factors of 4641

1,3,7,13,17,21,39,51,91,119,221,273,357,663,1547,4641

Now, list down the factors of 7306

1,2,13,26,281,562,3653,7306

Greatest Common Factor

We found the factors 4641,7306 . The biggest common factor number is the GCF number.
So the greatest common factor 4641,7306 is 13.

Lets's calculate LCM of 594,6652

Lowest Common Multiple of 594,6652 using Common Division

2	594, 6652
	297, 3326

∴ So the LCM of the given numbers is 2 x 297 x 3326 = 1975644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1975644

Therefore, the GCF of Fractions 4641/594,7306/6652 is 13/1975644

Least Common Multiple of 594,6652 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 594,6652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,6652) = 2

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

GCF(594,6652) x common factors =2 x 1 = 2

LCM(594,6652) = ( 594 × 6652 ) / 2

LCM(594,6652) = 3951288 / 2

LCM(594,6652) = 1975644

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FAQs on GCF of Fractions of 4641/594, 7306/6652

1. What is the HCF of 4641,7306?

The HCF of 4641,7306 is 13

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 4641/594, 7306/6652?

Answer: GCF of Numerators as per given numbers 4641/594, 7306/6652 is

GCF of Numerators i.e. for 4641,7306 is 13

LCM of denominators i.e. for 594,6652 is 1975644.

Thus, GCF of Fractions is 13/1975644.Finally, GCF of Fractions for 4641/594, 7306/6652 is 13/1975644.