How to Find GCF of 9803/920, 3281/1731?

GCF of 9803/920, 3281/1731

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 9803/920, 3281/1731 i.e 1/1592520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9803/920, 3281/1731.

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 9803/920,3281/1731?

Given fractions are 9803/920,3281/1731

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 9803/920,3281/1731, numerators are 9803,3281

Denominators are 920,1731

The GCF of 9803,3281 is 1 .

LCM of 920,1731 is 1592520.

The greatest common factor of 9803/920,3281/1731 = [GCF of 9803,3281]/[LCM of 920,1731]= 1/1592520

Therefore, the GCF of 9803/920,3281/1731 is 1/1592520.

Greatest Common Factor of 9803,3281

To find the highest common factor of 9803,3281, we have to find the factors of both numbers and list the highest common factor.

The factors of 9803 are 1, 9803

The factors of 3281 are 1, 17, 193, 3281

The HCF of 9803,3281 is 1.

Lets's calculate GCF of 9803,3281

Greatest Common Factor (GCF) of 9803,3281 By Common Division

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

Greatest Common Factor of 9803,3281 By Matching Biggest Common Factor Method

Now, list down the factors of 9803

1,9803

Now, list down the factors of 3281

1,17,193,3281

Greatest Common Factor

We found the factors 9803,3281 . The biggest common factor number is the GCF number.
So the greatest common factor 9803,3281 is 1.

Lets's calculate LCM of 920,1731

Lowest Common Multiple of 920,1731 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1592520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1592520

Therefore, the GCF of Fractions 9803/920,3281/1731 is 1/1592520

Least Common Multiple of 920,1731 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 920,1731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,1731) = 1

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

GCF(920,1731) x common factors =1 x 1 = 1

LCM(920,1731) = ( 920 × 1731 ) / 1

LCM(920,1731) = 1592520 / 1

LCM(920,1731) = 1592520

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FAQs on GCF of Fractions of 9803/920, 3281/1731

1. What is the HCF of 9803,3281?

The HCF of 9803,3281 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 9803/920, 3281/1731?

Answer: GCF of Numerators as per given numbers 9803/920, 3281/1731 is

GCF of Numerators i.e. for 9803,3281 is 1

LCM of denominators i.e. for 920,1731 is 1592520.

Thus, GCF of Fractions is 1/1592520.Finally, GCF of Fractions for 9803/920, 3281/1731 is 1/1592520.