How to Find GCF of 9181/300, 1971/544?

GCF of 9181/300, 1971/544

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 9181/300, 1971/544 i.e 1/40800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9181/300, 1971/544.

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 9181/300,1971/544?

Given fractions are 9181/300,1971/544

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 9181/300,1971/544, numerators are 9181,1971

Denominators are 300,544

The GCF of 9181,1971 is 1 .

LCM of 300,544 is 40800.

The greatest common factor of 9181/300,1971/544 = [GCF of 9181,1971]/[LCM of 300,544]= 1/40800

Therefore, the GCF of 9181/300,1971/544 is 1/40800.

Greatest Common Factor of 9181,1971

To find the highest common factor of 9181,1971, we have to find the factors of both numbers and list the highest common factor.

The factors of 9181 are 1, 9181

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

The HCF of 9181,1971 is 1.

Lets's calculate GCF of 9181,1971

Greatest Common Factor (GCF) of 9181,1971 By Common Division

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

Greatest Common Factor of 9181,1971 By Matching Biggest Common Factor Method

Now, list down the factors of 9181

1,9181

Now, list down the factors of 1971

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

Greatest Common Factor

We found the factors 9181,1971 . The biggest common factor number is the GCF number.
So the greatest common factor 9181,1971 is 1.

Lets's calculate LCM of 300,544

Lowest Common Multiple of 300,544 using Common Division

2	300, 544
2	150, 272
	75, 136

∴ So the LCM of the given numbers is 2 x 2 x 75 x 136 = 40800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40800

Therefore, the GCF of Fractions 9181/300,1971/544 is 1/40800

Least Common Multiple of 300,544 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 300,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,544) = 4

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

GCF(300,544) x common factors =4 x 1 = 4

LCM(300,544) = ( 300 × 544 ) / 4

LCM(300,544) = 163200 / 4

LCM(300,544) = 40800

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9181/300, 1971/544

1. What is the HCF of 9181,1971?

The HCF of 9181,1971 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 9181/300, 1971/544?

Answer: GCF of Numerators as per given numbers 9181/300, 1971/544 is

GCF of Numerators i.e. for 9181,1971 is 1

LCM of denominators i.e. for 300,544 is 40800.

Thus, GCF of Fractions is 1/40800.Finally, GCF of Fractions for 9181/300, 1971/544 is 1/40800.