How to Find GCF of 7393/342, 4644/918?

GCF of 7393/342, 4644/918

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 7393/342, 4644/918 i.e 1/17442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7393/342, 4644/918.

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 7393/342,4644/918?

Given fractions are 7393/342,4644/918

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 7393/342,4644/918, numerators are 7393,4644

Denominators are 342,918

The GCF of 7393,4644 is 1 .

LCM of 342,918 is 17442.

The greatest common factor of 7393/342,4644/918 = [GCF of 7393,4644]/[LCM of 342,918]= 1/17442

Therefore, the GCF of 7393/342,4644/918 is 1/17442.

Greatest Common Factor of 7393,4644

To find the highest common factor of 7393,4644, we have to find the factors of both numbers and list the highest common factor.

The factors of 7393 are 1, 7393

The factors of 4644 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 43, 54, 86, 108, 129, 172, 258, 387, 516, 774, 1161, 1548, 2322, 4644

The HCF of 7393,4644 is 1.

Lets's calculate GCF of 7393,4644

Greatest Common Factor (GCF) of 7393,4644 By Common Division

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

Greatest Common Factor of 7393,4644 By Matching Biggest Common Factor Method

Now, list down the factors of 7393

1,7393

Now, list down the factors of 4644

1,2,3,4,6,9,12,18,27,36,43,54,86,108,129,172,258,387,516,774,1161,1548,2322,4644

Greatest Common Factor

We found the factors 7393,4644 . The biggest common factor number is the GCF number.
So the greatest common factor 7393,4644 is 1.

Lets's calculate LCM of 342,918

Lowest Common Multiple of 342,918 using Common Division

2	342, 918
3	171, 459
3	57, 153
	19, 51

∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 51 = 17442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17442

Therefore, the GCF of Fractions 7393/342,4644/918 is 1/17442

Least Common Multiple of 342,918 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 342,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,918) = 18

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

GCF(342,918) x common factors =18 x 1 = 18

LCM(342,918) = ( 342 × 918 ) / 18

LCM(342,918) = 313956 / 18

LCM(342,918) = 17442

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7393/342, 4644/918

1. What is the HCF of 7393,4644?

The HCF of 7393,4644 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 7393/342, 4644/918?

Answer: GCF of Numerators as per given numbers 7393/342, 4644/918 is

GCF of Numerators i.e. for 7393,4644 is 1

LCM of denominators i.e. for 342,918 is 17442.

Thus, GCF of Fractions is 1/17442.Finally, GCF of Fractions for 7393/342, 4644/918 is 1/17442.