How to Find GCF of 2086/404, 2089/5132?

GCF of 2086/404, 2089/5132

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 2086/404, 2089/5132 i.e 1/518332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2086/404, 2089/5132.

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 2086/404,2089/5132?

Given fractions are 2086/404,2089/5132

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 2086/404,2089/5132, numerators are 2086,2089

Denominators are 404,5132

The GCF of 2086,2089 is 1 .

LCM of 404,5132 is 518332.

The greatest common factor of 2086/404,2089/5132 = [GCF of 2086,2089]/[LCM of 404,5132]= 1/518332

Therefore, the GCF of 2086/404,2089/5132 is 1/518332.

Greatest Common Factor of 2086,2089

To find the highest common factor of 2086,2089, we have to find the factors of both numbers and list the highest common factor.

The factors of 2086 are 1, 2, 7, 14, 149, 298, 1043, 2086

The factors of 2089 are 1, 2089

The HCF of 2086,2089 is 1.

Lets's calculate GCF of 2086,2089

Greatest Common Factor (GCF) of 2086,2089 By Common Division

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

Greatest Common Factor of 2086,2089 By Matching Biggest Common Factor Method

Now, list down the factors of 2086

1,2,7,14,149,298,1043,2086

Now, list down the factors of 2089

1,2089

Greatest Common Factor

We found the factors 2086,2089 . The biggest common factor number is the GCF number.
So the greatest common factor 2086,2089 is 1.

Lets's calculate LCM of 404,5132

Lowest Common Multiple of 404,5132 using Common Division

2	404, 5132
2	202, 2566
	101, 1283

∴ So the LCM of the given numbers is 2 x 2 x 101 x 1283 = 518332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/518332

Therefore, the GCF of Fractions 2086/404,2089/5132 is 1/518332

Least Common Multiple of 404,5132 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 404,5132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,5132) = 4

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

GCF(404,5132) x common factors =4 x 1 = 4

LCM(404,5132) = ( 404 × 5132 ) / 4

LCM(404,5132) = 2073328 / 4

LCM(404,5132) = 518332

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FAQs on GCF of Fractions of 2086/404, 2089/5132

1. What is the HCF of 2086,2089?

The HCF of 2086,2089 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 2086/404, 2089/5132?

Answer: GCF of Numerators as per given numbers 2086/404, 2089/5132 is

GCF of Numerators i.e. for 2086,2089 is 1

LCM of denominators i.e. for 404,5132 is 518332.

Thus, GCF of Fractions is 1/518332.Finally, GCF of Fractions for 2086/404, 2089/5132 is 1/518332.