How to Find GCF of 8515/254, 4383/6168?

GCF of 8515/254, 4383/6168

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 8515/254, 4383/6168 i.e 1/783336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8515/254, 4383/6168.

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 8515/254,4383/6168?

Given fractions are 8515/254,4383/6168

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 8515/254,4383/6168, numerators are 8515,4383

Denominators are 254,6168

The GCF of 8515,4383 is 1 .

LCM of 254,6168 is 783336.

The greatest common factor of 8515/254,4383/6168 = [GCF of 8515,4383]/[LCM of 254,6168]= 1/783336

Therefore, the GCF of 8515/254,4383/6168 is 1/783336.

Greatest Common Factor of 8515,4383

To find the highest common factor of 8515,4383, we have to find the factors of both numbers and list the highest common factor.

The factors of 8515 are 1, 5, 13, 65, 131, 655, 1703, 8515

The factors of 4383 are 1, 3, 9, 487, 1461, 4383

The HCF of 8515,4383 is 1.

Lets's calculate GCF of 8515,4383

Greatest Common Factor (GCF) of 8515,4383 By Common Division

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

Greatest Common Factor of 8515,4383 By Matching Biggest Common Factor Method

Now, list down the factors of 8515

1,5,13,65,131,655,1703,8515

Now, list down the factors of 4383

1,3,9,487,1461,4383

Greatest Common Factor

We found the factors 8515,4383 . The biggest common factor number is the GCF number.
So the greatest common factor 8515,4383 is 1.

Lets's calculate LCM of 254,6168

Lowest Common Multiple of 254,6168 using Common Division

2	254, 6168
	127, 3084

∴ So the LCM of the given numbers is 2 x 127 x 3084 = 783336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/783336

Therefore, the GCF of Fractions 8515/254,4383/6168 is 1/783336

Least Common Multiple of 254,6168 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 254,6168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,6168) = 2

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

GCF(254,6168) x common factors =2 x 1 = 2

LCM(254,6168) = ( 254 × 6168 ) / 2

LCM(254,6168) = 1566672 / 2

LCM(254,6168) = 783336

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8515/254, 4383/6168

1. What is the HCF of 8515,4383?

The HCF of 8515,4383 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 8515/254, 4383/6168?

Answer: GCF of Numerators as per given numbers 8515/254, 4383/6168 is

GCF of Numerators i.e. for 8515,4383 is 1

LCM of denominators i.e. for 254,6168 is 783336.

Thus, GCF of Fractions is 1/783336.Finally, GCF of Fractions for 8515/254, 4383/6168 is 1/783336.