How to Find GCF of 8696/887, 9161/6061?

GCF of 8696/887, 9161/6061

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 8696/887, 9161/6061 i.e 1/5376107 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8696/887, 9161/6061.

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 8696/887,9161/6061?

Given fractions are 8696/887,9161/6061

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 8696/887,9161/6061, numerators are 8696,9161

Denominators are 887,6061

The GCF of 8696,9161 is 1 .

LCM of 887,6061 is 5376107.

The greatest common factor of 8696/887,9161/6061 = [GCF of 8696,9161]/[LCM of 887,6061]= 1/5376107

Therefore, the GCF of 8696/887,9161/6061 is 1/5376107.

Greatest Common Factor of 8696,9161

To find the highest common factor of 8696,9161, we have to find the factors of both numbers and list the highest common factor.

The factors of 8696 are 1, 2, 4, 8, 1087, 2174, 4348, 8696

The factors of 9161 are 1, 9161

The HCF of 8696,9161 is 1.

Lets's calculate GCF of 8696,9161

Greatest Common Factor (GCF) of 8696,9161 By Common Division

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

Greatest Common Factor of 8696,9161 By Matching Biggest Common Factor Method

Now, list down the factors of 8696

1,2,4,8,1087,2174,4348,8696

Now, list down the factors of 9161

1,9161

Greatest Common Factor

We found the factors 8696,9161 . The biggest common factor number is the GCF number.
So the greatest common factor 8696,9161 is 1.

Lets's calculate LCM of 887,6061

Lowest Common Multiple of 887,6061 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5376107

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5376107

Therefore, the GCF of Fractions 8696/887,9161/6061 is 1/5376107

Least Common Multiple of 887,6061 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 887,6061 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(887,6061) = 1

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

GCF(887,6061) x common factors =1 x 1 = 1

LCM(887,6061) = ( 887 × 6061 ) / 1

LCM(887,6061) = 5376107 / 1

LCM(887,6061) = 5376107

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FAQs on GCF of Fractions of 8696/887, 9161/6061

1. What is the HCF of 8696,9161?

The HCF of 8696,9161 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 8696/887, 9161/6061?

Answer: GCF of Numerators as per given numbers 8696/887, 9161/6061 is

GCF of Numerators i.e. for 8696,9161 is 1

LCM of denominators i.e. for 887,6061 is 5376107.

Thus, GCF of Fractions is 1/5376107.Finally, GCF of Fractions for 8696/887, 9161/6061 is 1/5376107.