Greatest Common Factor of 196/202, 8859/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 196/202, 8859/228

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 196/202,8859/228

Given fractions are 196/202,8859/228

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 196,8859

Greatest Common Factor of Numerators i.e. GCF of 196,8859 is 1 .

LCM of Denominators means LCM of 202,228 as per the given fractions.

LCM of 202,228 is 23028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 196,8859

GCF of Fractions 196/202,8859/228 is 1/23028

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

Greatest Common Factor of 196,8859 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,8859 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 8859

List of positive integer factors of 8859 that divides 8859 without a remainder.

1,3,2953,8859

Greatest Common Factor

We found the factors 196,8859 . The biggest common factor number is the GCF number.
So the greatest common factor 196,8859 is 1.

Lets's calculate LCM of 202,228

2 202, 228
101, 114

∴ So the LCM of the given numbers is 2 x 101 x 114 = 23028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23028

Therefore, the GCF of Fractions 196/202,8859/228 is 1/23028

Least Common Multiple of 202,228 with GCF Formula

Least Common Multiple of 202,228 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 202,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(202,228) = 2

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

GCF(202,228) x common factors =2 x 1 = 2

LCM(202,228) = ( 202 × 228 ) / 2

LCM(202,228) = 46056 / 2

LCM(202,228) = 23028


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 196/202, 8859/228

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 196/202, 8859/228?

Answer: GCF of Numerators as per given numbers 196/202, 8859/228 is

GCF of Numerators i.e. for 196,8859 is 1

LCM of denominators i.e. for 202,228 is 23028.

Thus, GCF of Fractions is 1/23028.Finally, GCF of Fractions for 196/202, 8859/228 is 1/23028.