How to Find GCF of 8660/285, 9791/7319?

GCF of 8660/285, 9791/7319

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 8660/285, 9791/7319 i.e 1/2085915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8660/285, 9791/7319.

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 8660/285,9791/7319?

Given fractions are 8660/285,9791/7319

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 8660/285,9791/7319, numerators are 8660,9791

Denominators are 285,7319

The GCF of 8660,9791 is 1 .

LCM of 285,7319 is 2085915.

The greatest common factor of 8660/285,9791/7319 = [GCF of 8660,9791]/[LCM of 285,7319]= 1/2085915

Therefore, the GCF of 8660/285,9791/7319 is 1/2085915.

Greatest Common Factor of 8660,9791

To find the highest common factor of 8660,9791, we have to find the factors of both numbers and list the highest common factor.

The factors of 8660 are 1, 2, 4, 5, 10, 20, 433, 866, 1732, 2165, 4330, 8660

The factors of 9791 are 1, 9791

The HCF of 8660,9791 is 1.

Lets's calculate GCF of 8660,9791

Greatest Common Factor (GCF) of 8660,9791 By Common Division

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

Greatest Common Factor of 8660,9791 By Matching Biggest Common Factor Method

Now, list down the factors of 8660

1,2,4,5,10,20,433,866,1732,2165,4330,8660

Now, list down the factors of 9791

1,9791

Greatest Common Factor

We found the factors 8660,9791 . The biggest common factor number is the GCF number.
So the greatest common factor 8660,9791 is 1.

Lets's calculate LCM of 285,7319

Lowest Common Multiple of 285,7319 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2085915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2085915

Therefore, the GCF of Fractions 8660/285,9791/7319 is 1/2085915

Least Common Multiple of 285,7319 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 285,7319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,7319) = 1

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

GCF(285,7319) x common factors =1 x 1 = 1

LCM(285,7319) = ( 285 × 7319 ) / 1

LCM(285,7319) = 2085915 / 1

LCM(285,7319) = 2085915

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FAQs on GCF of Fractions of 8660/285, 9791/7319

1. What is the HCF of 8660,9791?

The HCF of 8660,9791 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 8660/285, 9791/7319?

Answer: GCF of Numerators as per given numbers 8660/285, 9791/7319 is

GCF of Numerators i.e. for 8660,9791 is 1

LCM of denominators i.e. for 285,7319 is 2085915.

Thus, GCF of Fractions is 1/2085915.Finally, GCF of Fractions for 8660/285, 9791/7319 is 1/2085915.