How to Find GCF of 8488/323, 2319/9008?

GCF of 8488/323, 2319/9008

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 8488/323, 2319/9008 i.e 1/2909584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8488/323, 2319/9008.

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 8488/323,2319/9008?

Given fractions are 8488/323,2319/9008

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 8488/323,2319/9008, numerators are 8488,2319

Denominators are 323,9008

The GCF of 8488,2319 is 1 .

LCM of 323,9008 is 2909584.

The greatest common factor of 8488/323,2319/9008 = [GCF of 8488,2319]/[LCM of 323,9008]= 1/2909584

Therefore, the GCF of 8488/323,2319/9008 is 1/2909584.

Greatest Common Factor of 8488,2319

To find the highest common factor of 8488,2319, we have to find the factors of both numbers and list the highest common factor.

The factors of 8488 are 1, 2, 4, 8, 1061, 2122, 4244, 8488

The factors of 2319 are 1, 3, 773, 2319

The HCF of 8488,2319 is 1.

Lets's calculate GCF of 8488,2319

Greatest Common Factor (GCF) of 8488,2319 By Common Division

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

Greatest Common Factor of 8488,2319 By Matching Biggest Common Factor Method

Now, list down the factors of 8488

1,2,4,8,1061,2122,4244,8488

Now, list down the factors of 2319

1,3,773,2319

Greatest Common Factor

We found the factors 8488,2319 . The biggest common factor number is the GCF number.
So the greatest common factor 8488,2319 is 1.

Lets's calculate LCM of 323,9008

Lowest Common Multiple of 323,9008 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2909584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2909584

Therefore, the GCF of Fractions 8488/323,2319/9008 is 1/2909584

Least Common Multiple of 323,9008 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 323,9008 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,9008) = 1

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

GCF(323,9008) x common factors =1 x 1 = 1

LCM(323,9008) = ( 323 × 9008 ) / 1

LCM(323,9008) = 2909584 / 1

LCM(323,9008) = 2909584

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FAQs on GCF of Fractions of 8488/323, 2319/9008

1. What is the HCF of 8488,2319?

The HCF of 8488,2319 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 8488/323, 2319/9008?

Answer: GCF of Numerators as per given numbers 8488/323, 2319/9008 is

GCF of Numerators i.e. for 8488,2319 is 1

LCM of denominators i.e. for 323,9008 is 2909584.

Thus, GCF of Fractions is 1/2909584.Finally, GCF of Fractions for 8488/323, 2319/9008 is 1/2909584.