How to Find GCF of 5309/255, 7293/2872?

GCF of 5309/255, 7293/2872

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 5309/255, 7293/2872 i.e 1/732360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5309/255, 7293/2872.

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 5309/255,7293/2872?

Given fractions are 5309/255,7293/2872

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 5309/255,7293/2872, numerators are 5309,7293

Denominators are 255,2872

The GCF of 5309,7293 is 1 .

LCM of 255,2872 is 732360.

The greatest common factor of 5309/255,7293/2872 = [GCF of 5309,7293]/[LCM of 255,2872]= 1/732360

Therefore, the GCF of 5309/255,7293/2872 is 1/732360.

Greatest Common Factor of 5309,7293

To find the highest common factor of 5309,7293, we have to find the factors of both numbers and list the highest common factor.

The factors of 5309 are 1, 5309

The factors of 7293 are 1, 3, 11, 13, 17, 33, 39, 51, 143, 187, 221, 429, 561, 663, 2431, 7293

The HCF of 5309,7293 is 1.

Lets's calculate GCF of 5309,7293

Greatest Common Factor (GCF) of 5309,7293 By Common Division

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

Greatest Common Factor of 5309,7293 By Matching Biggest Common Factor Method

Now, list down the factors of 5309

1,5309

Now, list down the factors of 7293

1,3,11,13,17,33,39,51,143,187,221,429,561,663,2431,7293

Greatest Common Factor

We found the factors 5309,7293 . The biggest common factor number is the GCF number.
So the greatest common factor 5309,7293 is 1.

Lets's calculate LCM of 255,2872

Lowest Common Multiple of 255,2872 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 732360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/732360

Therefore, the GCF of Fractions 5309/255,7293/2872 is 1/732360

Least Common Multiple of 255,2872 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 255,2872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(255,2872) = 1

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

GCF(255,2872) x common factors =1 x 1 = 1

LCM(255,2872) = ( 255 × 2872 ) / 1

LCM(255,2872) = 732360 / 1

LCM(255,2872) = 732360

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FAQs on GCF of Fractions of 5309/255, 7293/2872

1. What is the HCF of 5309,7293?

The HCF of 5309,7293 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 5309/255, 7293/2872?

Answer: GCF of Numerators as per given numbers 5309/255, 7293/2872 is

GCF of Numerators i.e. for 5309,7293 is 1

LCM of denominators i.e. for 255,2872 is 732360.

Thus, GCF of Fractions is 1/732360.Finally, GCF of Fractions for 5309/255, 7293/2872 is 1/732360.