Greatest Common Factor of 8128/82, 9902/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8128/82, 9902/196

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 8128/82,9902/196

Given fractions are 8128/82,9902/196

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 8128,9902

Greatest Common Factor of Numerators i.e. GCF of 8128,9902 is 2 .

LCM of Denominators means LCM of 82,196 as per the given fractions.

LCM of 82,196 is 8036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8128,9902

GCF of Fractions 8128/82,9902/196 is 2/8036

2 8128, 9902
4064, 4951

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

Greatest Common Factor of 8128,9902 By Matching Biggest Common Factor Method

Greatest Common Factor of 8128,9902 By Matching Biggest Common Factor Method

Factors of 8128

List of positive integer factors of 8128 that divides 8128 without a remainder.

1,2,4,8,16,32,64,127,254,508,1016,2032,4064,8128

Factors of 9902

List of positive integer factors of 9902 that divides 9902 without a remainder.

1,2,4951,9902

Greatest Common Factor

We found the factors 8128,9902 . The biggest common factor number is the GCF number.
So the greatest common factor 8128,9902 is 2.

Lets's calculate LCM of 82,196

2 82, 196
41, 98

∴ So the LCM of the given numbers is 2 x 41 x 98 = 8036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8036

Therefore, the GCF of Fractions 8128/82,9902/196 is 2/8036

Least Common Multiple of 82,196 with GCF Formula

Least Common Multiple of 82,196 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 82,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,196) = 2

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

GCF(82,196) x common factors =2 x 1 = 2

LCM(82,196) = ( 82 × 196 ) / 2

LCM(82,196) = 16072 / 2

LCM(82,196) = 8036


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 8128/82, 9902/196

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 8128/82, 9902/196?

Answer: GCF of Numerators as per given numbers 8128/82, 9902/196 is

GCF of Numerators i.e. for 8128,9902 is 2

LCM of denominators i.e. for 82,196 is 8036.

Thus, GCF of Fractions is 2/8036.Finally, GCF of Fractions for 8128/82, 9902/196 is 2/8036.