How to Find GCF of 3543/320, 4598/9113?

GCF of 3543/320, 4598/9113

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 3543/320, 4598/9113 i.e 1/2916160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3543/320, 4598/9113.

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 3543/320,4598/9113?

Given fractions are 3543/320,4598/9113

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 3543/320,4598/9113, numerators are 3543,4598

Denominators are 320,9113

The GCF of 3543,4598 is 1 .

LCM of 320,9113 is 2916160.

The greatest common factor of 3543/320,4598/9113 = [GCF of 3543,4598]/[LCM of 320,9113]= 1/2916160

Therefore, the GCF of 3543/320,4598/9113 is 1/2916160.

Greatest Common Factor of 3543,4598

To find the highest common factor of 3543,4598, we have to find the factors of both numbers and list the highest common factor.

The factors of 3543 are 1, 3, 1181, 3543

The factors of 4598 are 1, 2, 11, 19, 22, 38, 121, 209, 242, 418, 2299, 4598

The HCF of 3543,4598 is 1.

Lets's calculate GCF of 3543,4598

Greatest Common Factor (GCF) of 3543,4598 By Common Division

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

Greatest Common Factor of 3543,4598 By Matching Biggest Common Factor Method

Now, list down the factors of 3543

1,3,1181,3543

Now, list down the factors of 4598

1,2,11,19,22,38,121,209,242,418,2299,4598

Greatest Common Factor

We found the factors 3543,4598 . The biggest common factor number is the GCF number.
So the greatest common factor 3543,4598 is 1.

Lets's calculate LCM of 320,9113

Lowest Common Multiple of 320,9113 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2916160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2916160

Therefore, the GCF of Fractions 3543/320,4598/9113 is 1/2916160

Least Common Multiple of 320,9113 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 320,9113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,9113) = 1

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

GCF(320,9113) x common factors =1 x 1 = 1

LCM(320,9113) = ( 320 × 9113 ) / 1

LCM(320,9113) = 2916160 / 1

LCM(320,9113) = 2916160

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FAQs on GCF of Fractions of 3543/320, 4598/9113

1. What is the HCF of 3543,4598?

The HCF of 3543,4598 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 3543/320, 4598/9113?

Answer: GCF of Numerators as per given numbers 3543/320, 4598/9113 is

GCF of Numerators i.e. for 3543,4598 is 1

LCM of denominators i.e. for 320,9113 is 2916160.

Thus, GCF of Fractions is 1/2916160.Finally, GCF of Fractions for 3543/320, 4598/9113 is 1/2916160.