How to Find GCF of 8317/588, 1347/2616?

GCF of 8317/588, 1347/2616

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 8317/588, 1347/2616 i.e 1/128184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8317/588, 1347/2616.

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 8317/588,1347/2616?

Given fractions are 8317/588,1347/2616

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 8317/588,1347/2616, numerators are 8317,1347

Denominators are 588,2616

The GCF of 8317,1347 is 1 .

LCM of 588,2616 is 128184.

The greatest common factor of 8317/588,1347/2616 = [GCF of 8317,1347]/[LCM of 588,2616]= 1/128184

Therefore, the GCF of 8317/588,1347/2616 is 1/128184.

Greatest Common Factor of 8317,1347

To find the highest common factor of 8317,1347, we have to find the factors of both numbers and list the highest common factor.

The factors of 8317 are 1, 8317

The factors of 1347 are 1, 3, 449, 1347

The HCF of 8317,1347 is 1.

Lets's calculate GCF of 8317,1347

Greatest Common Factor (GCF) of 8317,1347 By Common Division

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

Greatest Common Factor of 8317,1347 By Matching Biggest Common Factor Method

Now, list down the factors of 8317

1,8317

Now, list down the factors of 1347

1,3,449,1347

Greatest Common Factor

We found the factors 8317,1347 . The biggest common factor number is the GCF number.
So the greatest common factor 8317,1347 is 1.

Lets's calculate LCM of 588,2616

Lowest Common Multiple of 588,2616 using Common Division

2	588, 2616
2	294, 1308
3	147, 654
	49, 218

∴ So the LCM of the given numbers is 2 x 2 x 3 x 49 x 218 = 128184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128184

Therefore, the GCF of Fractions 8317/588,1347/2616 is 1/128184

Least Common Multiple of 588,2616 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 588,2616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,2616) = 12

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

GCF(588,2616) x common factors =12 x 1 = 12

LCM(588,2616) = ( 588 × 2616 ) / 12

LCM(588,2616) = 1538208 / 12

LCM(588,2616) = 128184

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FAQs on GCF of Fractions of 8317/588, 1347/2616

1. What is the HCF of 8317,1347?

The HCF of 8317,1347 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 8317/588, 1347/2616?

Answer: GCF of Numerators as per given numbers 8317/588, 1347/2616 is

GCF of Numerators i.e. for 8317,1347 is 1

LCM of denominators i.e. for 588,2616 is 128184.

Thus, GCF of Fractions is 1/128184.Finally, GCF of Fractions for 8317/588, 1347/2616 is 1/128184.