Greatest Common Factor of 913/86, 1144/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 913/86, 1144/225

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 913/86,1144/225

Given fractions are 913/86,1144/225

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 913,1144

Greatest Common Factor of Numerators i.e. GCF of 913,1144 is 11 .

LCM of Denominators means LCM of 86,225 as per the given fractions.

LCM of 86,225 is 19350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 913,1144

GCF of Fractions 913/86,1144/225 is 11/19350

11 913, 1144
83, 104

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 913,1144 By Matching Biggest Common Factor Method

Greatest Common Factor of 913,1144 By Matching Biggest Common Factor Method

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 1144

List of positive integer factors of 1144 that divides 1144 without a remainder.

1,2,4,8,11,13,22,26,44,52,88,104,143,286,572,1144

Greatest Common Factor

We found the factors 913,1144 . The biggest common factor number is the GCF number.
So the greatest common factor 913,1144 is 11.

Lets's calculate LCM of 86,225

Given numbers has no common factors except 1. So, there LCM is their product i.e 19350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/19350

Therefore, the GCF of Fractions 913/86,1144/225 is 11/19350

Least Common Multiple of 86,225 with GCF Formula

Least Common Multiple of 86,225 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 86,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,225) = 1

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

GCF(86,225) x common factors =1 x 1 = 1

LCM(86,225) = ( 86 × 225 ) / 1

LCM(86,225) = 19350 / 1

LCM(86,225) = 19350


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 913/86, 1144/225

1. 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.

2. What is the GCF of Fractions for 913/86, 1144/225?

Answer: GCF of Numerators as per given numbers 913/86, 1144/225 is

GCF of Numerators i.e. for 913,1144 is 11

LCM of denominators i.e. for 86,225 is 19350.

Thus, GCF of Fractions is 11/19350.Finally, GCF of Fractions for 913/86, 1144/225 is 11/19350.