How to Find GCF of 9903/271, 4526/1590?

GCF of 9903/271, 4526/1590

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 9903/271, 4526/1590 i.e 1/430890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9903/271, 4526/1590.

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 9903/271,4526/1590?

Given fractions are 9903/271,4526/1590

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 9903/271,4526/1590, numerators are 9903,4526

Denominators are 271,1590

The GCF of 9903,4526 is 1 .

LCM of 271,1590 is 430890.

The greatest common factor of 9903/271,4526/1590 = [GCF of 9903,4526]/[LCM of 271,1590]= 1/430890

Therefore, the GCF of 9903/271,4526/1590 is 1/430890.

Greatest Common Factor of 9903,4526

To find the highest common factor of 9903,4526, we have to find the factors of both numbers and list the highest common factor.

The factors of 9903 are 1, 3, 3301, 9903

The factors of 4526 are 1, 2, 31, 62, 73, 146, 2263, 4526

The HCF of 9903,4526 is 1.

Lets's calculate GCF of 9903,4526

Greatest Common Factor (GCF) of 9903,4526 By Common Division

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

Greatest Common Factor of 9903,4526 By Matching Biggest Common Factor Method

Now, list down the factors of 9903

1,3,3301,9903

Now, list down the factors of 4526

1,2,31,62,73,146,2263,4526

Greatest Common Factor

We found the factors 9903,4526 . The biggest common factor number is the GCF number.
So the greatest common factor 9903,4526 is 1.

Lets's calculate LCM of 271,1590

Lowest Common Multiple of 271,1590 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 430890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/430890

Therefore, the GCF of Fractions 9903/271,4526/1590 is 1/430890

Least Common Multiple of 271,1590 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 271,1590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,1590) = 1

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

GCF(271,1590) x common factors =1 x 1 = 1

LCM(271,1590) = ( 271 × 1590 ) / 1

LCM(271,1590) = 430890 / 1

LCM(271,1590) = 430890

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FAQs on GCF of Fractions of 9903/271, 4526/1590

1. What is the HCF of 9903,4526?

The HCF of 9903,4526 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 9903/271, 4526/1590?

Answer: GCF of Numerators as per given numbers 9903/271, 4526/1590 is

GCF of Numerators i.e. for 9903,4526 is 1

LCM of denominators i.e. for 271,1590 is 430890.

Thus, GCF of Fractions is 1/430890.Finally, GCF of Fractions for 9903/271, 4526/1590 is 1/430890.