How to Find GCF of 6735/199, 8397/3178?

GCF of 6735/199, 8397/3178

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 6735/199, 8397/3178 i.e 3/632422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6735/199, 8397/3178.

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 6735/199,8397/3178?

Given fractions are 6735/199,8397/3178

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 6735/199,8397/3178, numerators are 6735,8397

Denominators are 199,3178

The GCF of 6735,8397 is 3 .

LCM of 199,3178 is 632422.

The greatest common factor of 6735/199,8397/3178 = [GCF of 6735,8397]/[LCM of 199,3178]= 3/632422

Therefore, the GCF of 6735/199,8397/3178 is 3/632422.

Greatest Common Factor of 6735,8397

To find the highest common factor of 6735,8397, we have to find the factors of both numbers and list the highest common factor.

The factors of 6735 are 1, 3, 5, 15, 449, 1347, 2245, 6735

The factors of 8397 are 1, 3, 9, 27, 311, 933, 2799, 8397

The HCF of 6735,8397 is 3.

Lets's calculate GCF of 6735,8397

Greatest Common Factor (GCF) of 6735,8397 By Common Division

3	6735, 8397
	2245, 2799

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6735,8397 By Matching Biggest Common Factor Method

Now, list down the factors of 6735

1,3,5,15,449,1347,2245,6735

Now, list down the factors of 8397

1,3,9,27,311,933,2799,8397

Greatest Common Factor

We found the factors 6735,8397 . The biggest common factor number is the GCF number.
So the greatest common factor 6735,8397 is 3.

Lets's calculate LCM of 199,3178

Lowest Common Multiple of 199,3178 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 632422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/632422

Therefore, the GCF of Fractions 6735/199,8397/3178 is 3/632422

Least Common Multiple of 199,3178 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 199,3178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,3178) = 1

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

GCF(199,3178) x common factors =1 x 1 = 1

LCM(199,3178) = ( 199 × 3178 ) / 1

LCM(199,3178) = 632422 / 1

LCM(199,3178) = 632422

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FAQs on GCF of Fractions of 6735/199, 8397/3178

1. What is the HCF of 6735,8397?

The HCF of 6735,8397 is 3

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 6735/199, 8397/3178?

Answer: GCF of Numerators as per given numbers 6735/199, 8397/3178 is

GCF of Numerators i.e. for 6735,8397 is 3

LCM of denominators i.e. for 199,3178 is 632422.

Thus, GCF of Fractions is 3/632422.Finally, GCF of Fractions for 6735/199, 8397/3178 is 3/632422.