How to Find GCF of 8289/511, 5596/5976?

GCF of 8289/511, 5596/5976

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 8289/511, 5596/5976 i.e 1/3053736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8289/511, 5596/5976.

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 8289/511,5596/5976?

Given fractions are 8289/511,5596/5976

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 8289/511,5596/5976, numerators are 8289,5596

Denominators are 511,5976

The GCF of 8289,5596 is 1 .

LCM of 511,5976 is 3053736.

The greatest common factor of 8289/511,5596/5976 = [GCF of 8289,5596]/[LCM of 511,5976]= 1/3053736

Therefore, the GCF of 8289/511,5596/5976 is 1/3053736.

Greatest Common Factor of 8289,5596

To find the highest common factor of 8289,5596, we have to find the factors of both numbers and list the highest common factor.

The factors of 8289 are 1, 3, 9, 27, 307, 921, 2763, 8289

The factors of 5596 are 1, 2, 4, 1399, 2798, 5596

The HCF of 8289,5596 is 1.

Lets's calculate GCF of 8289,5596

Greatest Common Factor (GCF) of 8289,5596 By Common Division

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

Greatest Common Factor of 8289,5596 By Matching Biggest Common Factor Method

Now, list down the factors of 8289

1,3,9,27,307,921,2763,8289

Now, list down the factors of 5596

1,2,4,1399,2798,5596

Greatest Common Factor

We found the factors 8289,5596 . The biggest common factor number is the GCF number.
So the greatest common factor 8289,5596 is 1.

Lets's calculate LCM of 511,5976

Lowest Common Multiple of 511,5976 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3053736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3053736

Therefore, the GCF of Fractions 8289/511,5596/5976 is 1/3053736

Least Common Multiple of 511,5976 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 511,5976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(511,5976) = 1

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

GCF(511,5976) x common factors =1 x 1 = 1

LCM(511,5976) = ( 511 × 5976 ) / 1

LCM(511,5976) = 3053736 / 1

LCM(511,5976) = 3053736

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FAQs on GCF of Fractions of 8289/511, 5596/5976

1. What is the HCF of 8289,5596?

The HCF of 8289,5596 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 8289/511, 5596/5976?

Answer: GCF of Numerators as per given numbers 8289/511, 5596/5976 is

GCF of Numerators i.e. for 8289,5596 is 1

LCM of denominators i.e. for 511,5976 is 3053736.

Thus, GCF of Fractions is 1/3053736.Finally, GCF of Fractions for 8289/511, 5596/5976 is 1/3053736.