How to Find GCF of 7815/288, 8435/2399?

GCF of 7815/288, 8435/2399

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 7815/288, 8435/2399 i.e 5/690912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7815/288, 8435/2399.

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 7815/288,8435/2399?

Given fractions are 7815/288,8435/2399

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 7815/288,8435/2399, numerators are 7815,8435

Denominators are 288,2399

The GCF of 7815,8435 is 5 .

LCM of 288,2399 is 690912.

The greatest common factor of 7815/288,8435/2399 = [GCF of 7815,8435]/[LCM of 288,2399]= 5/690912

Therefore, the GCF of 7815/288,8435/2399 is 5/690912.

Greatest Common Factor of 7815,8435

To find the highest common factor of 7815,8435, we have to find the factors of both numbers and list the highest common factor.

The factors of 7815 are 1, 3, 5, 15, 521, 1563, 2605, 7815

The factors of 8435 are 1, 5, 7, 35, 241, 1205, 1687, 8435

The HCF of 7815,8435 is 5.

Lets's calculate GCF of 7815,8435

Greatest Common Factor (GCF) of 7815,8435 By Common Division

5	7815, 8435
	1563, 1687

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 7815,8435 By Matching Biggest Common Factor Method

Now, list down the factors of 7815

1,3,5,15,521,1563,2605,7815

Now, list down the factors of 8435

1,5,7,35,241,1205,1687,8435

Greatest Common Factor

We found the factors 7815,8435 . The biggest common factor number is the GCF number.
So the greatest common factor 7815,8435 is 5.

Lets's calculate LCM of 288,2399

Lowest Common Multiple of 288,2399 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 690912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/690912

Therefore, the GCF of Fractions 7815/288,8435/2399 is 5/690912

Least Common Multiple of 288,2399 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 288,2399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,2399) = 1

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

GCF(288,2399) x common factors =1 x 1 = 1

LCM(288,2399) = ( 288 × 2399 ) / 1

LCM(288,2399) = 690912 / 1

LCM(288,2399) = 690912

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FAQs on GCF of Fractions of 7815/288, 8435/2399

1. What is the HCF of 7815,8435?

The HCF of 7815,8435 is 5

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 7815/288, 8435/2399?

Answer: GCF of Numerators as per given numbers 7815/288, 8435/2399 is

GCF of Numerators i.e. for 7815,8435 is 5

LCM of denominators i.e. for 288,2399 is 690912.

Thus, GCF of Fractions is 5/690912.Finally, GCF of Fractions for 7815/288, 8435/2399 is 5/690912.