How to Find GCF of 8177/995, 6331/9679?

GCF of 8177/995, 6331/9679

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 8177/995, 6331/9679 i.e 13/9630605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8177/995, 6331/9679.

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 8177/995,6331/9679?

Given fractions are 8177/995,6331/9679

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 8177/995,6331/9679, numerators are 8177,6331

Denominators are 995,9679

The GCF of 8177,6331 is 13 .

LCM of 995,9679 is 9630605.

The greatest common factor of 8177/995,6331/9679 = [GCF of 8177,6331]/[LCM of 995,9679]= 13/9630605

Therefore, the GCF of 8177/995,6331/9679 is 13/9630605.

Greatest Common Factor of 8177,6331

To find the highest common factor of 8177,6331, we have to find the factors of both numbers and list the highest common factor.

The factors of 8177 are 1, 13, 17, 37, 221, 481, 629, 8177

The factors of 6331 are 1, 13, 487, 6331

The HCF of 8177,6331 is 13.

Lets's calculate GCF of 8177,6331

Greatest Common Factor (GCF) of 8177,6331 By Common Division

13	8177, 6331
	629, 487

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 8177,6331 By Matching Biggest Common Factor Method

Now, list down the factors of 8177

1,13,17,37,221,481,629,8177

Now, list down the factors of 6331

1,13,487,6331

Greatest Common Factor

We found the factors 8177,6331 . The biggest common factor number is the GCF number.
So the greatest common factor 8177,6331 is 13.

Lets's calculate LCM of 995,9679

Lowest Common Multiple of 995,9679 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9630605

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/9630605

Therefore, the GCF of Fractions 8177/995,6331/9679 is 13/9630605

Least Common Multiple of 995,9679 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 995,9679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(995,9679) = 1

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

GCF(995,9679) x common factors =1 x 1 = 1

LCM(995,9679) = ( 995 × 9679 ) / 1

LCM(995,9679) = 9630605 / 1

LCM(995,9679) = 9630605

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FAQs on GCF of Fractions of 8177/995, 6331/9679

1. What is the HCF of 8177,6331?

The HCF of 8177,6331 is 13

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 8177/995, 6331/9679?

Answer: GCF of Numerators as per given numbers 8177/995, 6331/9679 is

GCF of Numerators i.e. for 8177,6331 is 13

LCM of denominators i.e. for 995,9679 is 9630605.

Thus, GCF of Fractions is 13/9630605.Finally, GCF of Fractions for 8177/995, 6331/9679 is 13/9630605.