How to Find GCF of 8606/905, 5991/8511?

GCF of 8606/905, 5991/8511

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 8606/905, 5991/8511 i.e 1/7702455 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8606/905, 5991/8511.

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 8606/905,5991/8511?

Given fractions are 8606/905,5991/8511

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 8606/905,5991/8511, numerators are 8606,5991

Denominators are 905,8511

The GCF of 8606,5991 is 1 .

LCM of 905,8511 is 7702455.

The greatest common factor of 8606/905,5991/8511 = [GCF of 8606,5991]/[LCM of 905,8511]= 1/7702455

Therefore, the GCF of 8606/905,5991/8511 is 1/7702455.

Greatest Common Factor of 8606,5991

To find the highest common factor of 8606,5991, we have to find the factors of both numbers and list the highest common factor.

The factors of 8606 are 1, 2, 13, 26, 331, 662, 4303, 8606

The factors of 5991 are 1, 3, 1997, 5991

The HCF of 8606,5991 is 1.

Lets's calculate GCF of 8606,5991

Greatest Common Factor (GCF) of 8606,5991 By Common Division

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

Greatest Common Factor of 8606,5991 By Matching Biggest Common Factor Method

Now, list down the factors of 8606

1,2,13,26,331,662,4303,8606

Now, list down the factors of 5991

1,3,1997,5991

Greatest Common Factor

We found the factors 8606,5991 . The biggest common factor number is the GCF number.
So the greatest common factor 8606,5991 is 1.

Lets's calculate LCM of 905,8511

Lowest Common Multiple of 905,8511 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7702455

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7702455

Therefore, the GCF of Fractions 8606/905,5991/8511 is 1/7702455

Least Common Multiple of 905,8511 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 905,8511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,8511) = 1

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

GCF(905,8511) x common factors =1 x 1 = 1

LCM(905,8511) = ( 905 × 8511 ) / 1

LCM(905,8511) = 7702455 / 1

LCM(905,8511) = 7702455

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8606/905, 5991/8511

1. What is the HCF of 8606,5991?

The HCF of 8606,5991 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 8606/905, 5991/8511?

Answer: GCF of Numerators as per given numbers 8606/905, 5991/8511 is

GCF of Numerators i.e. for 8606,5991 is 1

LCM of denominators i.e. for 905,8511 is 7702455.

Thus, GCF of Fractions is 1/7702455.Finally, GCF of Fractions for 8606/905, 5991/8511 is 1/7702455.