How to Find GCF of 2269/404, 4887/4324?

GCF of 2269/404, 4887/4324

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 2269/404, 4887/4324 i.e 1/436724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2269/404, 4887/4324.

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 2269/404,4887/4324?

Given fractions are 2269/404,4887/4324

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 2269/404,4887/4324, numerators are 2269,4887

Denominators are 404,4324

The GCF of 2269,4887 is 1 .

LCM of 404,4324 is 436724.

The greatest common factor of 2269/404,4887/4324 = [GCF of 2269,4887]/[LCM of 404,4324]= 1/436724

Therefore, the GCF of 2269/404,4887/4324 is 1/436724.

Greatest Common Factor of 2269,4887

To find the highest common factor of 2269,4887, we have to find the factors of both numbers and list the highest common factor.

The factors of 2269 are 1, 2269

The factors of 4887 are 1, 3, 9, 27, 181, 543, 1629, 4887

The HCF of 2269,4887 is 1.

Lets's calculate GCF of 2269,4887

Greatest Common Factor (GCF) of 2269,4887 By Common Division

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

Greatest Common Factor of 2269,4887 By Matching Biggest Common Factor Method

Now, list down the factors of 2269

1,2269

Now, list down the factors of 4887

1,3,9,27,181,543,1629,4887

Greatest Common Factor

We found the factors 2269,4887 . The biggest common factor number is the GCF number.
So the greatest common factor 2269,4887 is 1.

Lets's calculate LCM of 404,4324

Lowest Common Multiple of 404,4324 using Common Division

2	404, 4324
2	202, 2162
	101, 1081

∴ So the LCM of the given numbers is 2 x 2 x 101 x 1081 = 436724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/436724

Therefore, the GCF of Fractions 2269/404,4887/4324 is 1/436724

Least Common Multiple of 404,4324 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 404,4324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,4324) = 4

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

GCF(404,4324) x common factors =4 x 1 = 4

LCM(404,4324) = ( 404 × 4324 ) / 4

LCM(404,4324) = 1746896 / 4

LCM(404,4324) = 436724

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2269/404, 4887/4324

1. What is the HCF of 2269,4887?

The HCF of 2269,4887 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 2269/404, 4887/4324?

Answer: GCF of Numerators as per given numbers 2269/404, 4887/4324 is

GCF of Numerators i.e. for 2269,4887 is 1

LCM of denominators i.e. for 404,4324 is 436724.

Thus, GCF of Fractions is 1/436724.Finally, GCF of Fractions for 2269/404, 4887/4324 is 1/436724.