How to Find GCF of 5491/562, 9225/1018?

GCF of 5491/562, 9225/1018

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 5491/562, 9225/1018 i.e 1/286058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5491/562, 9225/1018.

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 5491/562,9225/1018?

Given fractions are 5491/562,9225/1018

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 5491/562,9225/1018, numerators are 5491,9225

Denominators are 562,1018

The GCF of 5491,9225 is 1 .

LCM of 562,1018 is 286058.

The greatest common factor of 5491/562,9225/1018 = [GCF of 5491,9225]/[LCM of 562,1018]= 1/286058

Therefore, the GCF of 5491/562,9225/1018 is 1/286058.

Greatest Common Factor of 5491,9225

To find the highest common factor of 5491,9225, we have to find the factors of both numbers and list the highest common factor.

The factors of 5491 are 1, 17, 19, 289, 323, 5491

The factors of 9225 are 1, 3, 5, 9, 15, 25, 41, 45, 75, 123, 205, 225, 369, 615, 1025, 1845, 3075, 9225

The HCF of 5491,9225 is 1.

Lets's calculate GCF of 5491,9225

Greatest Common Factor (GCF) of 5491,9225 By Common Division

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

Greatest Common Factor of 5491,9225 By Matching Biggest Common Factor Method

Now, list down the factors of 5491

1,17,19,289,323,5491

Now, list down the factors of 9225

1,3,5,9,15,25,41,45,75,123,205,225,369,615,1025,1845,3075,9225

Greatest Common Factor

We found the factors 5491,9225 . The biggest common factor number is the GCF number.
So the greatest common factor 5491,9225 is 1.

Lets's calculate LCM of 562,1018

Lowest Common Multiple of 562,1018 using Common Division

2	562, 1018
	281, 509

∴ So the LCM of the given numbers is 2 x 281 x 509 = 286058

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286058

Therefore, the GCF of Fractions 5491/562,9225/1018 is 1/286058

Least Common Multiple of 562,1018 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 562,1018 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,1018) = 2

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

GCF(562,1018) x common factors =2 x 1 = 2

LCM(562,1018) = ( 562 × 1018 ) / 2

LCM(562,1018) = 572116 / 2

LCM(562,1018) = 286058

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5491/562, 9225/1018

1. What is the HCF of 5491,9225?

The HCF of 5491,9225 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 5491/562, 9225/1018?

Answer: GCF of Numerators as per given numbers 5491/562, 9225/1018 is

GCF of Numerators i.e. for 5491,9225 is 1

LCM of denominators i.e. for 562,1018 is 286058.

Thus, GCF of Fractions is 1/286058.Finally, GCF of Fractions for 5491/562, 9225/1018 is 1/286058.