How to Find GCF of 8831/843, 3993/9124?

GCF of 8831/843, 3993/9124

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 8831/843, 3993/9124 i.e 1/7691532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8831/843, 3993/9124.

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 8831/843,3993/9124?

Given fractions are 8831/843,3993/9124

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 8831/843,3993/9124, numerators are 8831,3993

Denominators are 843,9124

The GCF of 8831,3993 is 1 .

LCM of 843,9124 is 7691532.

The greatest common factor of 8831/843,3993/9124 = [GCF of 8831,3993]/[LCM of 843,9124]= 1/7691532

Therefore, the GCF of 8831/843,3993/9124 is 1/7691532.

Greatest Common Factor of 8831,3993

To find the highest common factor of 8831,3993, we have to find the factors of both numbers and list the highest common factor.

The factors of 8831 are 1, 8831

The factors of 3993 are 1, 3, 11, 33, 121, 363, 1331, 3993

The HCF of 8831,3993 is 1.

Lets's calculate GCF of 8831,3993

Greatest Common Factor (GCF) of 8831,3993 By Common Division

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

Greatest Common Factor of 8831,3993 By Matching Biggest Common Factor Method

Now, list down the factors of 8831

1,8831

Now, list down the factors of 3993

1,3,11,33,121,363,1331,3993

Greatest Common Factor

We found the factors 8831,3993 . The biggest common factor number is the GCF number.
So the greatest common factor 8831,3993 is 1.

Lets's calculate LCM of 843,9124

Lowest Common Multiple of 843,9124 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7691532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7691532

Therefore, the GCF of Fractions 8831/843,3993/9124 is 1/7691532

Least Common Multiple of 843,9124 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 843,9124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,9124) = 1

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

GCF(843,9124) x common factors =1 x 1 = 1

LCM(843,9124) = ( 843 × 9124 ) / 1

LCM(843,9124) = 7691532 / 1

LCM(843,9124) = 7691532

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FAQs on GCF of Fractions of 8831/843, 3993/9124

1. What is the HCF of 8831,3993?

The HCF of 8831,3993 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 8831/843, 3993/9124?

Answer: GCF of Numerators as per given numbers 8831/843, 3993/9124 is

GCF of Numerators i.e. for 8831,3993 is 1

LCM of denominators i.e. for 843,9124 is 7691532.

Thus, GCF of Fractions is 1/7691532.Finally, GCF of Fractions for 8831/843, 3993/9124 is 1/7691532.