How to Find GCF of 6899/497, 3302/9606?

GCF of 6899/497, 3302/9606

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 6899/497, 3302/9606 i.e 1/4774182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6899/497, 3302/9606.

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 6899/497,3302/9606?

Given fractions are 6899/497,3302/9606

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 6899/497,3302/9606, numerators are 6899,3302

Denominators are 497,9606

The GCF of 6899,3302 is 1 .

LCM of 497,9606 is 4774182.

The greatest common factor of 6899/497,3302/9606 = [GCF of 6899,3302]/[LCM of 497,9606]= 1/4774182

Therefore, the GCF of 6899/497,3302/9606 is 1/4774182.

Greatest Common Factor of 6899,3302

To find the highest common factor of 6899,3302, we have to find the factors of both numbers and list the highest common factor.

The factors of 6899 are 1, 6899

The factors of 3302 are 1, 2, 13, 26, 127, 254, 1651, 3302

The HCF of 6899,3302 is 1.

Lets's calculate GCF of 6899,3302

Greatest Common Factor (GCF) of 6899,3302 By Common Division

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

Greatest Common Factor of 6899,3302 By Matching Biggest Common Factor Method

Now, list down the factors of 6899

1,6899

Now, list down the factors of 3302

1,2,13,26,127,254,1651,3302

Greatest Common Factor

We found the factors 6899,3302 . The biggest common factor number is the GCF number.
So the greatest common factor 6899,3302 is 1.

Lets's calculate LCM of 497,9606

Lowest Common Multiple of 497,9606 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4774182

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4774182

Therefore, the GCF of Fractions 6899/497,3302/9606 is 1/4774182

Least Common Multiple of 497,9606 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 497,9606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,9606) = 1

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

GCF(497,9606) x common factors =1 x 1 = 1

LCM(497,9606) = ( 497 × 9606 ) / 1

LCM(497,9606) = 4774182 / 1

LCM(497,9606) = 4774182

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FAQs on GCF of Fractions of 6899/497, 3302/9606

1. What is the HCF of 6899,3302?

The HCF of 6899,3302 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 6899/497, 3302/9606?

Answer: GCF of Numerators as per given numbers 6899/497, 3302/9606 is

GCF of Numerators i.e. for 6899,3302 is 1

LCM of denominators i.e. for 497,9606 is 4774182.

Thus, GCF of Fractions is 1/4774182.Finally, GCF of Fractions for 6899/497, 3302/9606 is 1/4774182.