How to Find GCF of 5881/993, 1971/5141?

GCF of 5881/993, 1971/5141

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 5881/993, 1971/5141 i.e 1/5105013 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5881/993, 1971/5141.

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 5881/993,1971/5141?

Given fractions are 5881/993,1971/5141

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 5881/993,1971/5141, numerators are 5881,1971

Denominators are 993,5141

The GCF of 5881,1971 is 1 .

LCM of 993,5141 is 5105013.

The greatest common factor of 5881/993,1971/5141 = [GCF of 5881,1971]/[LCM of 993,5141]= 1/5105013

Therefore, the GCF of 5881/993,1971/5141 is 1/5105013.

Greatest Common Factor of 5881,1971

To find the highest common factor of 5881,1971, we have to find the factors of both numbers and list the highest common factor.

The factors of 5881 are 1, 5881

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

The HCF of 5881,1971 is 1.

Lets's calculate GCF of 5881,1971

Greatest Common Factor (GCF) of 5881,1971 By Common Division

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

Greatest Common Factor of 5881,1971 By Matching Biggest Common Factor Method

Now, list down the factors of 5881

1,5881

Now, list down the factors of 1971

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

Greatest Common Factor

We found the factors 5881,1971 . The biggest common factor number is the GCF number.
So the greatest common factor 5881,1971 is 1.

Lets's calculate LCM of 993,5141

Lowest Common Multiple of 993,5141 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5105013

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5105013

Therefore, the GCF of Fractions 5881/993,1971/5141 is 1/5105013

Least Common Multiple of 993,5141 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 993,5141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(993,5141) = 1

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

GCF(993,5141) x common factors =1 x 1 = 1

LCM(993,5141) = ( 993 × 5141 ) / 1

LCM(993,5141) = 5105013 / 1

LCM(993,5141) = 5105013

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5881/993, 1971/5141

1. What is the HCF of 5881,1971?

The HCF of 5881,1971 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 5881/993, 1971/5141?

Answer: GCF of Numerators as per given numbers 5881/993, 1971/5141 is

GCF of Numerators i.e. for 5881,1971 is 1

LCM of denominators i.e. for 993,5141 is 5105013.

Thus, GCF of Fractions is 1/5105013.Finally, GCF of Fractions for 5881/993, 1971/5141 is 1/5105013.