How to Find GCF of 165/472, 6697/849?

GCF of 165/472, 6697/849

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 165/472, 6697/849 i.e 1/400728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 165/472, 6697/849.

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 165/472,6697/849?

Given fractions are 165/472,6697/849

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 165/472,6697/849, numerators are 165,6697

Denominators are 472,849

The GCF of 165,6697 is 1 .

LCM of 472,849 is 400728.

The greatest common factor of 165/472,6697/849 = [GCF of 165,6697]/[LCM of 472,849]= 1/400728

Therefore, the GCF of 165/472,6697/849 is 1/400728.

Greatest Common Factor of 165,6697

To find the highest common factor of 165,6697, we have to find the factors of both numbers and list the highest common factor.

The factors of 165 are 1, 3, 5, 11, 15, 33, 55, 165

The factors of 6697 are 1, 37, 181, 6697

The HCF of 165,6697 is 1.

Lets's calculate GCF of 165,6697

Greatest Common Factor (GCF) of 165,6697 By Common Division

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

Greatest Common Factor of 165,6697 By Matching Biggest Common Factor Method

Now, list down the factors of 165

1,3,5,11,15,33,55,165

Now, list down the factors of 6697

1,37,181,6697

Greatest Common Factor

We found the factors 165,6697 . The biggest common factor number is the GCF number.
So the greatest common factor 165,6697 is 1.

Lets's calculate LCM of 472,849

Lowest Common Multiple of 472,849 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 400728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/400728

Therefore, the GCF of Fractions 165/472,6697/849 is 1/400728

Least Common Multiple of 472,849 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 472,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,849) = 1

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

GCF(472,849) x common factors =1 x 1 = 1

LCM(472,849) = ( 472 × 849 ) / 1

LCM(472,849) = 400728 / 1

LCM(472,849) = 400728

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FAQs on GCF of Fractions of 165/472, 6697/849

1. What is the HCF of 165,6697?

The HCF of 165,6697 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 165/472, 6697/849?

Answer: GCF of Numerators as per given numbers 165/472, 6697/849 is

GCF of Numerators i.e. for 165,6697 is 1

LCM of denominators i.e. for 472,849 is 400728.

Thus, GCF of Fractions is 1/400728.Finally, GCF of Fractions for 165/472, 6697/849 is 1/400728.