How to Find GCF of 3231/403, 9017/711?

GCF of 3231/403, 9017/711

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 3231/403, 9017/711 i.e 1/286533 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3231/403, 9017/711.

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 3231/403,9017/711?

Given fractions are 3231/403,9017/711

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 3231/403,9017/711, numerators are 3231,9017

Denominators are 403,711

The GCF of 3231,9017 is 1 .

LCM of 403,711 is 286533.

The greatest common factor of 3231/403,9017/711 = [GCF of 3231,9017]/[LCM of 403,711]= 1/286533

Therefore, the GCF of 3231/403,9017/711 is 1/286533.

Greatest Common Factor of 3231,9017

To find the highest common factor of 3231,9017, we have to find the factors of both numbers and list the highest common factor.

The factors of 3231 are 1, 3, 9, 359, 1077, 3231

The factors of 9017 are 1, 71, 127, 9017

The HCF of 3231,9017 is 1.

Lets's calculate GCF of 3231,9017

Greatest Common Factor (GCF) of 3231,9017 By Common Division

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

Greatest Common Factor of 3231,9017 By Matching Biggest Common Factor Method

Now, list down the factors of 3231

1,3,9,359,1077,3231

Now, list down the factors of 9017

1,71,127,9017

Greatest Common Factor

We found the factors 3231,9017 . The biggest common factor number is the GCF number.
So the greatest common factor 3231,9017 is 1.

Lets's calculate LCM of 403,711

Lowest Common Multiple of 403,711 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 286533

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286533

Therefore, the GCF of Fractions 3231/403,9017/711 is 1/286533

Least Common Multiple of 403,711 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 403,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(403,711) = 1

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

GCF(403,711) x common factors =1 x 1 = 1

LCM(403,711) = ( 403 × 711 ) / 1

LCM(403,711) = 286533 / 1

LCM(403,711) = 286533

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FAQs on GCF of Fractions of 3231/403, 9017/711

1. What is the HCF of 3231,9017?

The HCF of 3231,9017 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 3231/403, 9017/711?

Answer: GCF of Numerators as per given numbers 3231/403, 9017/711 is

GCF of Numerators i.e. for 3231,9017 is 1

LCM of denominators i.e. for 403,711 is 286533.

Thus, GCF of Fractions is 1/286533.Finally, GCF of Fractions for 3231/403, 9017/711 is 1/286533.