How to Find GCF of 1105/286, 5003/4559?

GCF of 1105/286, 5003/4559

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 1105/286, 5003/4559 i.e 1/1303874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1105/286, 5003/4559.

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 1105/286,5003/4559?

Given fractions are 1105/286,5003/4559

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 1105/286,5003/4559, numerators are 1105,5003

Denominators are 286,4559

The GCF of 1105,5003 is 1 .

LCM of 286,4559 is 1303874.

The greatest common factor of 1105/286,5003/4559 = [GCF of 1105,5003]/[LCM of 286,4559]= 1/1303874

Therefore, the GCF of 1105/286,5003/4559 is 1/1303874.

Greatest Common Factor of 1105,5003

To find the highest common factor of 1105,5003, we have to find the factors of both numbers and list the highest common factor.

The factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105

The factors of 5003 are 1, 5003

The HCF of 1105,5003 is 1.

Lets's calculate GCF of 1105,5003

Greatest Common Factor (GCF) of 1105,5003 By Common Division

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

Greatest Common Factor of 1105,5003 By Matching Biggest Common Factor Method

Now, list down the factors of 1105

1,5,13,17,65,85,221,1105

Now, list down the factors of 5003

1,5003

Greatest Common Factor

We found the factors 1105,5003 . The biggest common factor number is the GCF number.
So the greatest common factor 1105,5003 is 1.

Lets's calculate LCM of 286,4559

Lowest Common Multiple of 286,4559 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1303874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1303874

Therefore, the GCF of Fractions 1105/286,5003/4559 is 1/1303874

Least Common Multiple of 286,4559 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 286,4559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,4559) = 1

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

GCF(286,4559) x common factors =1 x 1 = 1

LCM(286,4559) = ( 286 × 4559 ) / 1

LCM(286,4559) = 1303874 / 1

LCM(286,4559) = 1303874

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FAQs on GCF of Fractions of 1105/286, 5003/4559

1. What is the HCF of 1105,5003?

The HCF of 1105,5003 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 1105/286, 5003/4559?

Answer: GCF of Numerators as per given numbers 1105/286, 5003/4559 is

GCF of Numerators i.e. for 1105,5003 is 1

LCM of denominators i.e. for 286,4559 is 1303874.

Thus, GCF of Fractions is 1/1303874.Finally, GCF of Fractions for 1105/286, 5003/4559 is 1/1303874.