How to Find GCF of 9339/661, 1931/8824?

GCF of 9339/661, 1931/8824

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 9339/661, 1931/8824 i.e 1/5832664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9339/661, 1931/8824.

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 9339/661,1931/8824?

Given fractions are 9339/661,1931/8824

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 9339/661,1931/8824, numerators are 9339,1931

Denominators are 661,8824

The GCF of 9339,1931 is 1 .

LCM of 661,8824 is 5832664.

The greatest common factor of 9339/661,1931/8824 = [GCF of 9339,1931]/[LCM of 661,8824]= 1/5832664

Therefore, the GCF of 9339/661,1931/8824 is 1/5832664.

Greatest Common Factor of 9339,1931

To find the highest common factor of 9339,1931, we have to find the factors of both numbers and list the highest common factor.

The factors of 9339 are 1, 3, 11, 33, 283, 849, 3113, 9339

The factors of 1931 are 1, 1931

The HCF of 9339,1931 is 1.

Lets's calculate GCF of 9339,1931

Greatest Common Factor (GCF) of 9339,1931 By Common Division

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

Greatest Common Factor of 9339,1931 By Matching Biggest Common Factor Method

Now, list down the factors of 9339

1,3,11,33,283,849,3113,9339

Now, list down the factors of 1931

1,1931

Greatest Common Factor

We found the factors 9339,1931 . The biggest common factor number is the GCF number.
So the greatest common factor 9339,1931 is 1.

Lets's calculate LCM of 661,8824

Lowest Common Multiple of 661,8824 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5832664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5832664

Therefore, the GCF of Fractions 9339/661,1931/8824 is 1/5832664

Least Common Multiple of 661,8824 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 661,8824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,8824) = 1

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

GCF(661,8824) x common factors =1 x 1 = 1

LCM(661,8824) = ( 661 × 8824 ) / 1

LCM(661,8824) = 5832664 / 1

LCM(661,8824) = 5832664

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FAQs on GCF of Fractions of 9339/661, 1931/8824

1. What is the HCF of 9339,1931?

The HCF of 9339,1931 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 9339/661, 1931/8824?

Answer: GCF of Numerators as per given numbers 9339/661, 1931/8824 is

GCF of Numerators i.e. for 9339,1931 is 1

LCM of denominators i.e. for 661,8824 is 5832664.

Thus, GCF of Fractions is 1/5832664.Finally, GCF of Fractions for 9339/661, 1931/8824 is 1/5832664.