How to Find GCF of 5002/431, 5511/6483?

GCF of 5002/431, 5511/6483

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 5002/431, 5511/6483 i.e 1/2794173 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5002/431, 5511/6483.

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 5002/431,5511/6483?

Given fractions are 5002/431,5511/6483

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 5002/431,5511/6483, numerators are 5002,5511

Denominators are 431,6483

The GCF of 5002,5511 is 1 .

LCM of 431,6483 is 2794173.

The greatest common factor of 5002/431,5511/6483 = [GCF of 5002,5511]/[LCM of 431,6483]= 1/2794173

Therefore, the GCF of 5002/431,5511/6483 is 1/2794173.

Greatest Common Factor of 5002,5511

To find the highest common factor of 5002,5511, we have to find the factors of both numbers and list the highest common factor.

The factors of 5002 are 1, 2, 41, 61, 82, 122, 2501, 5002

The factors of 5511 are 1, 3, 11, 33, 167, 501, 1837, 5511

The HCF of 5002,5511 is 1.

Lets's calculate GCF of 5002,5511

Greatest Common Factor (GCF) of 5002,5511 By Common Division

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

Greatest Common Factor of 5002,5511 By Matching Biggest Common Factor Method

Now, list down the factors of 5002

1,2,41,61,82,122,2501,5002

Now, list down the factors of 5511

1,3,11,33,167,501,1837,5511

Greatest Common Factor

We found the factors 5002,5511 . The biggest common factor number is the GCF number.
So the greatest common factor 5002,5511 is 1.

Lets's calculate LCM of 431,6483

Lowest Common Multiple of 431,6483 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2794173

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2794173

Therefore, the GCF of Fractions 5002/431,5511/6483 is 1/2794173

Least Common Multiple of 431,6483 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 431,6483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,6483) = 1

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

GCF(431,6483) x common factors =1 x 1 = 1

LCM(431,6483) = ( 431 × 6483 ) / 1

LCM(431,6483) = 2794173 / 1

LCM(431,6483) = 2794173

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FAQs on GCF of Fractions of 5002/431, 5511/6483

1. What is the HCF of 5002,5511?

The HCF of 5002,5511 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 5002/431, 5511/6483?

Answer: GCF of Numerators as per given numbers 5002/431, 5511/6483 is

GCF of Numerators i.e. for 5002,5511 is 1

LCM of denominators i.e. for 431,6483 is 2794173.

Thus, GCF of Fractions is 1/2794173.Finally, GCF of Fractions for 5002/431, 5511/6483 is 1/2794173.