How to Find GCF of 6802/686, 3329/6667?

GCF of 6802/686, 3329/6667

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 6802/686, 3329/6667 i.e 1/4573562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6802/686, 3329/6667.

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 6802/686,3329/6667?

Given fractions are 6802/686,3329/6667

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 6802/686,3329/6667, numerators are 6802,3329

Denominators are 686,6667

The GCF of 6802,3329 is 1 .

LCM of 686,6667 is 4573562.

The greatest common factor of 6802/686,3329/6667 = [GCF of 6802,3329]/[LCM of 686,6667]= 1/4573562

Therefore, the GCF of 6802/686,3329/6667 is 1/4573562.

Greatest Common Factor of 6802,3329

To find the highest common factor of 6802,3329, we have to find the factors of both numbers and list the highest common factor.

The factors of 6802 are 1, 2, 19, 38, 179, 358, 3401, 6802

The factors of 3329 are 1, 3329

The HCF of 6802,3329 is 1.

Lets's calculate GCF of 6802,3329

Greatest Common Factor (GCF) of 6802,3329 By Common Division

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

Greatest Common Factor of 6802,3329 By Matching Biggest Common Factor Method

Now, list down the factors of 6802

1,2,19,38,179,358,3401,6802

Now, list down the factors of 3329

1,3329

Greatest Common Factor

We found the factors 6802,3329 . The biggest common factor number is the GCF number.
So the greatest common factor 6802,3329 is 1.

Lets's calculate LCM of 686,6667

Lowest Common Multiple of 686,6667 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4573562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4573562

Therefore, the GCF of Fractions 6802/686,3329/6667 is 1/4573562

Least Common Multiple of 686,6667 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 686,6667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,6667) = 1

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

GCF(686,6667) x common factors =1 x 1 = 1

LCM(686,6667) = ( 686 × 6667 ) / 1

LCM(686,6667) = 4573562 / 1

LCM(686,6667) = 4573562

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FAQs on GCF of Fractions of 6802/686, 3329/6667

1. What is the HCF of 6802,3329?

The HCF of 6802,3329 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 6802/686, 3329/6667?

Answer: GCF of Numerators as per given numbers 6802/686, 3329/6667 is

GCF of Numerators i.e. for 6802,3329 is 1

LCM of denominators i.e. for 686,6667 is 4573562.

Thus, GCF of Fractions is 1/4573562.Finally, GCF of Fractions for 6802/686, 3329/6667 is 1/4573562.