How to Find GCF of 8115/635, 3313/9927?

GCF of 8115/635, 3313/9927

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 8115/635, 3313/9927 i.e 1/6303645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8115/635, 3313/9927.

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 8115/635,3313/9927?

Given fractions are 8115/635,3313/9927

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 8115/635,3313/9927, numerators are 8115,3313

Denominators are 635,9927

The GCF of 8115,3313 is 1 .

LCM of 635,9927 is 6303645.

The greatest common factor of 8115/635,3313/9927 = [GCF of 8115,3313]/[LCM of 635,9927]= 1/6303645

Therefore, the GCF of 8115/635,3313/9927 is 1/6303645.

Greatest Common Factor of 8115,3313

To find the highest common factor of 8115,3313, we have to find the factors of both numbers and list the highest common factor.

The factors of 8115 are 1, 3, 5, 15, 541, 1623, 2705, 8115

The factors of 3313 are 1, 3313

The HCF of 8115,3313 is 1.

Lets's calculate GCF of 8115,3313

Greatest Common Factor (GCF) of 8115,3313 By Common Division

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

Greatest Common Factor of 8115,3313 By Matching Biggest Common Factor Method

Now, list down the factors of 8115

1,3,5,15,541,1623,2705,8115

Now, list down the factors of 3313

1,3313

Greatest Common Factor

We found the factors 8115,3313 . The biggest common factor number is the GCF number.
So the greatest common factor 8115,3313 is 1.

Lets's calculate LCM of 635,9927

Lowest Common Multiple of 635,9927 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6303645

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6303645

Therefore, the GCF of Fractions 8115/635,3313/9927 is 1/6303645

Least Common Multiple of 635,9927 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 635,9927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(635,9927) = 1

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

GCF(635,9927) x common factors =1 x 1 = 1

LCM(635,9927) = ( 635 × 9927 ) / 1

LCM(635,9927) = 6303645 / 1

LCM(635,9927) = 6303645

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FAQs on GCF of Fractions of 8115/635, 3313/9927

1. What is the HCF of 8115,3313?

The HCF of 8115,3313 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 8115/635, 3313/9927?

Answer: GCF of Numerators as per given numbers 8115/635, 3313/9927 is

GCF of Numerators i.e. for 8115,3313 is 1

LCM of denominators i.e. for 635,9927 is 6303645.

Thus, GCF of Fractions is 1/6303645.Finally, GCF of Fractions for 8115/635, 3313/9927 is 1/6303645.