Greatest Common Factor of 114/99, 8228/571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 114/99, 8228/571

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 114/99,8228/571

Given fractions are 114/99,8228/571

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 114,8228

Greatest Common Factor of Numerators i.e. GCF of 114,8228 is 2 .

LCM of Denominators means LCM of 99,571 as per the given fractions.

LCM of 99,571 is 56529 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 114,8228

GCF of Fractions 114/99,8228/571 is 2/56529

2 114, 8228
57, 4114

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 114,8228 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,8228 By Matching Biggest Common Factor Method

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 8228

List of positive integer factors of 8228 that divides 8228 without a remainder.

1,2,4,11,17,22,34,44,68,121,187,242,374,484,748,2057,4114,8228

Greatest Common Factor

We found the factors 114,8228 . The biggest common factor number is the GCF number.
So the greatest common factor 114,8228 is 2.

Lets's calculate LCM of 99,571

Given numbers has no common factors except 1. So, there LCM is their product i.e 56529

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/56529

Therefore, the GCF of Fractions 114/99,8228/571 is 2/56529

Least Common Multiple of 99,571 with GCF Formula

Least Common Multiple of 99,571 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 99,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,571) = 1

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

GCF(99,571) x common factors =1 x 1 = 1

LCM(99,571) = ( 99 × 571 ) / 1

LCM(99,571) = 56529 / 1

LCM(99,571) = 56529


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 114/99, 8228/571

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 114/99, 8228/571?

Answer: GCF of Numerators as per given numbers 114/99, 8228/571 is

GCF of Numerators i.e. for 114,8228 is 2

LCM of denominators i.e. for 99,571 is 56529.

Thus, GCF of Fractions is 2/56529.Finally, GCF of Fractions for 114/99, 8228/571 is 2/56529.