How to Find GCF of 8731/335, 9075/4402?

GCF of 8731/335, 9075/4402

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 8731/335, 9075/4402 i.e 1/1474670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8731/335, 9075/4402.

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 8731/335,9075/4402?

Given fractions are 8731/335,9075/4402

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 8731/335,9075/4402, numerators are 8731,9075

Denominators are 335,4402

The GCF of 8731,9075 is 1 .

LCM of 335,4402 is 1474670.

The greatest common factor of 8731/335,9075/4402 = [GCF of 8731,9075]/[LCM of 335,4402]= 1/1474670

Therefore, the GCF of 8731/335,9075/4402 is 1/1474670.

Greatest Common Factor of 8731,9075

To find the highest common factor of 8731,9075, we have to find the factors of both numbers and list the highest common factor.

The factors of 8731 are 1, 8731

The factors of 9075 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 121, 165, 275, 363, 605, 825, 1815, 3025, 9075

The HCF of 8731,9075 is 1.

Lets's calculate GCF of 8731,9075

Greatest Common Factor (GCF) of 8731,9075 By Common Division

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

Greatest Common Factor of 8731,9075 By Matching Biggest Common Factor Method

Now, list down the factors of 8731

1,8731

Now, list down the factors of 9075

1,3,5,11,15,25,33,55,75,121,165,275,363,605,825,1815,3025,9075

Greatest Common Factor

We found the factors 8731,9075 . The biggest common factor number is the GCF number.
So the greatest common factor 8731,9075 is 1.

Lets's calculate LCM of 335,4402

Lowest Common Multiple of 335,4402 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1474670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1474670

Therefore, the GCF of Fractions 8731/335,9075/4402 is 1/1474670

Least Common Multiple of 335,4402 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 335,4402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(335,4402) = 1

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

GCF(335,4402) x common factors =1 x 1 = 1

LCM(335,4402) = ( 335 × 4402 ) / 1

LCM(335,4402) = 1474670 / 1

LCM(335,4402) = 1474670

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FAQs on GCF of Fractions of 8731/335, 9075/4402

1. What is the HCF of 8731,9075?

The HCF of 8731,9075 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 8731/335, 9075/4402?

Answer: GCF of Numerators as per given numbers 8731/335, 9075/4402 is

GCF of Numerators i.e. for 8731,9075 is 1

LCM of denominators i.e. for 335,4402 is 1474670.

Thus, GCF of Fractions is 1/1474670.Finally, GCF of Fractions for 8731/335, 9075/4402 is 1/1474670.