How to Find GCF of 5823/709, 6065/8881?

GCF of 5823/709, 6065/8881

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 5823/709, 6065/8881 i.e 1/6296629 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5823/709, 6065/8881.

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 5823/709,6065/8881?

Given fractions are 5823/709,6065/8881

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 5823/709,6065/8881, numerators are 5823,6065

Denominators are 709,8881

The GCF of 5823,6065 is 1 .

LCM of 709,8881 is 6296629.

The greatest common factor of 5823/709,6065/8881 = [GCF of 5823,6065]/[LCM of 709,8881]= 1/6296629

Therefore, the GCF of 5823/709,6065/8881 is 1/6296629.

Greatest Common Factor of 5823,6065

To find the highest common factor of 5823,6065, we have to find the factors of both numbers and list the highest common factor.

The factors of 5823 are 1, 3, 9, 647, 1941, 5823

The factors of 6065 are 1, 5, 1213, 6065

The HCF of 5823,6065 is 1.

Lets's calculate GCF of 5823,6065

Greatest Common Factor (GCF) of 5823,6065 By Common Division

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

Greatest Common Factor of 5823,6065 By Matching Biggest Common Factor Method

Now, list down the factors of 5823

1,3,9,647,1941,5823

Now, list down the factors of 6065

1,5,1213,6065

Greatest Common Factor

We found the factors 5823,6065 . The biggest common factor number is the GCF number.
So the greatest common factor 5823,6065 is 1.

Lets's calculate LCM of 709,8881

Lowest Common Multiple of 709,8881 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6296629

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6296629

Therefore, the GCF of Fractions 5823/709,6065/8881 is 1/6296629

Least Common Multiple of 709,8881 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 709,8881 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,8881) = 1

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

GCF(709,8881) x common factors =1 x 1 = 1

LCM(709,8881) = ( 709 × 8881 ) / 1

LCM(709,8881) = 6296629 / 1

LCM(709,8881) = 6296629

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FAQs on GCF of Fractions of 5823/709, 6065/8881

1. What is the HCF of 5823,6065?

The HCF of 5823,6065 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 5823/709, 6065/8881?

Answer: GCF of Numerators as per given numbers 5823/709, 6065/8881 is

GCF of Numerators i.e. for 5823,6065 is 1

LCM of denominators i.e. for 709,8881 is 6296629.

Thus, GCF of Fractions is 1/6296629.Finally, GCF of Fractions for 5823/709, 6065/8881 is 1/6296629.