How to Find GCF of 9133/931, 5448/9809?

GCF of 9133/931, 5448/9809

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 9133/931, 5448/9809 i.e 1/9132179 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9133/931, 5448/9809.

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 9133/931,5448/9809?

Given fractions are 9133/931,5448/9809

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 9133/931,5448/9809, numerators are 9133,5448

Denominators are 931,9809

The GCF of 9133,5448 is 1 .

LCM of 931,9809 is 9132179.

The greatest common factor of 9133/931,5448/9809 = [GCF of 9133,5448]/[LCM of 931,9809]= 1/9132179

Therefore, the GCF of 9133/931,5448/9809 is 1/9132179.

Greatest Common Factor of 9133,5448

To find the highest common factor of 9133,5448, we have to find the factors of both numbers and list the highest common factor.

The factors of 9133 are 1, 9133

The factors of 5448 are 1, 2, 3, 4, 6, 8, 12, 24, 227, 454, 681, 908, 1362, 1816, 2724, 5448

The HCF of 9133,5448 is 1.

Lets's calculate GCF of 9133,5448

Greatest Common Factor (GCF) of 9133,5448 By Common Division

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

Greatest Common Factor of 9133,5448 By Matching Biggest Common Factor Method

Now, list down the factors of 9133

1,9133

Now, list down the factors of 5448

1,2,3,4,6,8,12,24,227,454,681,908,1362,1816,2724,5448

Greatest Common Factor

We found the factors 9133,5448 . The biggest common factor number is the GCF number.
So the greatest common factor 9133,5448 is 1.

Lets's calculate LCM of 931,9809

Lowest Common Multiple of 931,9809 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9132179

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9132179

Therefore, the GCF of Fractions 9133/931,5448/9809 is 1/9132179

Least Common Multiple of 931,9809 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 931,9809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,9809) = 1

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

GCF(931,9809) x common factors =1 x 1 = 1

LCM(931,9809) = ( 931 × 9809 ) / 1

LCM(931,9809) = 9132179 / 1

LCM(931,9809) = 9132179

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9133/931, 5448/9809

1. What is the HCF of 9133,5448?

The HCF of 9133,5448 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 9133/931, 5448/9809?

Answer: GCF of Numerators as per given numbers 9133/931, 5448/9809 is

GCF of Numerators i.e. for 9133,5448 is 1

LCM of denominators i.e. for 931,9809 is 9132179.

Thus, GCF of Fractions is 1/9132179.Finally, GCF of Fractions for 9133/931, 5448/9809 is 1/9132179.