How to Find GCF of 2401/243, 5931/2803?

GCF of 2401/243, 5931/2803

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 2401/243, 5931/2803 i.e 1/681129 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2401/243, 5931/2803.

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 2401/243,5931/2803?

Given fractions are 2401/243,5931/2803

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 2401/243,5931/2803, numerators are 2401,5931

Denominators are 243,2803

The GCF of 2401,5931 is 1 .

LCM of 243,2803 is 681129.

The greatest common factor of 2401/243,5931/2803 = [GCF of 2401,5931]/[LCM of 243,2803]= 1/681129

Therefore, the GCF of 2401/243,5931/2803 is 1/681129.

Greatest Common Factor of 2401,5931

To find the highest common factor of 2401,5931, we have to find the factors of both numbers and list the highest common factor.

The factors of 2401 are 1, 7, 49, 343, 2401

The factors of 5931 are 1, 3, 9, 659, 1977, 5931

The HCF of 2401,5931 is 1.

Lets's calculate GCF of 2401,5931

Greatest Common Factor (GCF) of 2401,5931 By Common Division

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

Greatest Common Factor of 2401,5931 By Matching Biggest Common Factor Method

Now, list down the factors of 2401

1,7,49,343,2401

Now, list down the factors of 5931

1,3,9,659,1977,5931

Greatest Common Factor

We found the factors 2401,5931 . The biggest common factor number is the GCF number.
So the greatest common factor 2401,5931 is 1.

Lets's calculate LCM of 243,2803

Lowest Common Multiple of 243,2803 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 681129

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/681129

Therefore, the GCF of Fractions 2401/243,5931/2803 is 1/681129

Least Common Multiple of 243,2803 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 243,2803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,2803) = 1

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

GCF(243,2803) x common factors =1 x 1 = 1

LCM(243,2803) = ( 243 × 2803 ) / 1

LCM(243,2803) = 681129 / 1

LCM(243,2803) = 681129

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FAQs on GCF of Fractions of 2401/243, 5931/2803

1. What is the HCF of 2401,5931?

The HCF of 2401,5931 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 2401/243, 5931/2803?

Answer: GCF of Numerators as per given numbers 2401/243, 5931/2803 is

GCF of Numerators i.e. for 2401,5931 is 1

LCM of denominators i.e. for 243,2803 is 681129.

Thus, GCF of Fractions is 1/681129.Finally, GCF of Fractions for 2401/243, 5931/2803 is 1/681129.