How to Find GCF of 5913/366, 1031/9309?

GCF of 5913/366, 1031/9309

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 5913/366, 1031/9309 i.e 1/1135698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5913/366, 1031/9309.

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 5913/366,1031/9309?

Given fractions are 5913/366,1031/9309

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 5913/366,1031/9309, numerators are 5913,1031

Denominators are 366,9309

The GCF of 5913,1031 is 1 .

LCM of 366,9309 is 1135698.

The greatest common factor of 5913/366,1031/9309 = [GCF of 5913,1031]/[LCM of 366,9309]= 1/1135698

Therefore, the GCF of 5913/366,1031/9309 is 1/1135698.

Greatest Common Factor of 5913,1031

To find the highest common factor of 5913,1031, we have to find the factors of both numbers and list the highest common factor.

The factors of 5913 are 1, 3, 9, 27, 73, 81, 219, 657, 1971, 5913

The factors of 1031 are 1, 1031

The HCF of 5913,1031 is 1.

Lets's calculate GCF of 5913,1031

Greatest Common Factor (GCF) of 5913,1031 By Common Division

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

Greatest Common Factor of 5913,1031 By Matching Biggest Common Factor Method

Now, list down the factors of 5913

1,3,9,27,73,81,219,657,1971,5913

Now, list down the factors of 1031

1,1031

Greatest Common Factor

We found the factors 5913,1031 . The biggest common factor number is the GCF number.
So the greatest common factor 5913,1031 is 1.

Lets's calculate LCM of 366,9309

Lowest Common Multiple of 366,9309 using Common Division

3	366, 9309
	122, 3103

∴ So the LCM of the given numbers is 3 x 122 x 3103 = 1135698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1135698

Therefore, the GCF of Fractions 5913/366,1031/9309 is 1/1135698

Least Common Multiple of 366,9309 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 366,9309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(366,9309) = 3

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

GCF(366,9309) x common factors =3 x 1 = 3

LCM(366,9309) = ( 366 × 9309 ) / 3

LCM(366,9309) = 3407094 / 3

LCM(366,9309) = 1135698

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FAQs on GCF of Fractions of 5913/366, 1031/9309

1. What is the HCF of 5913,1031?

The HCF of 5913,1031 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 5913/366, 1031/9309?

Answer: GCF of Numerators as per given numbers 5913/366, 1031/9309 is

GCF of Numerators i.e. for 5913,1031 is 1

LCM of denominators i.e. for 366,9309 is 1135698.

Thus, GCF of Fractions is 1/1135698.Finally, GCF of Fractions for 5913/366, 1031/9309 is 1/1135698.