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GCF of 5543/483, 8819/5115

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 5543/483, 8819/5115 i.e 1/823515 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5543/483, 8819/5115.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 5543/483,8819/5115?

Given fractions are 5543/483,8819/5115

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 5543/483,8819/5115, numerators are 5543,8819

Denominators are 483,5115

The GCF of 5543,8819 is 1 .

LCM of 483,5115 is 823515.

The greatest common factor of 5543/483,8819/5115 = [GCF of 5543,8819]/[LCM of 483,5115]= 1/823515

Therefore, the GCF of 5543/483,8819/5115 is 1/823515.

Greatest Common Factor of 5543,8819

To find the highest common factor of 5543,8819, we have to find the factors of both numbers and list the highest common factor.

The factors of 5543 are 1, 23, 241, 5543

The factors of 8819 are 1, 8819

The HCF of 5543,8819 is 1.

Lets's calculate GCF of 5543,8819

Greatest Common Factor (GCF) of 5543,8819 By Common Division

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

Greatest Common Factor of 5543,8819 By Matching Biggest Common Factor Method

Greatest Common Factor of 5543,8819 By Matching Biggest Common Factor Method

Now, list down the factors of 5543

:

1,23,241,5543

Now, list down the factors of 8819

:

1,8819

Greatest Common Factor

We found the factors 5543,8819 . The biggest common factor number is the GCF number.
So the greatest common factor 5543,8819 is 1.

Lets's calculate LCM of 483,5115

Lowest Common Multiple of 483,5115 using Common Division

3 483, 5115
161, 1705

∴ So the LCM of the given numbers is 3 x 161 x 1705 = 823515

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/823515

Therefore, the GCF of Fractions 5543/483,8819/5115 is 1/823515

Least Common Multiple of 483,5115 with GCF Formula

Least Common Multiple of 483,5115 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 483,5115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,5115) = 3

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

GCF(483,5115) x common factors =3 x 1 = 3

LCM(483,5115) = ( 483 × 5115 ) / 3

LCM(483,5115) = 2470545 / 3

LCM(483,5115) = 823515


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FAQs on GCF of Fractions of 5543/483, 8819/5115

1. What is the HCF of 5543,8819?

The HCF of 5543,8819 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 5543/483, 8819/5115?

Answer: GCF of Numerators as per given numbers 5543/483, 8819/5115 is

GCF of Numerators i.e. for 5543,8819 is 1

LCM of denominators i.e. for 483,5115 is 823515.

Thus, GCF of Fractions is 1/823515.Finally, GCF of Fractions for 5543/483, 8819/5115 is 1/823515.