Greatest Common Factor of 8282/100, 7347/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8282/100, 7347/190

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 8282/100,7347/190

Given fractions are 8282/100,7347/190

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 8282,7347

Greatest Common Factor of Numerators i.e. GCF of 8282,7347 is 1 .

LCM of Denominators means LCM of 100,190 as per the given fractions.

LCM of 100,190 is 1900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8282,7347

GCF of Fractions 8282/100,7347/190 is 1/1900

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

Greatest Common Factor of 8282,7347 By Matching Biggest Common Factor Method

Greatest Common Factor of 8282,7347 By Matching Biggest Common Factor Method

Factors of 8282

List of positive integer factors of 8282 that divides 8282 without a remainder.

1,2,41,82,101,202,4141,8282

Factors of 7347

List of positive integer factors of 7347 that divides 7347 without a remainder.

1,3,31,79,93,237,2449,7347

Greatest Common Factor

We found the factors 8282,7347 . The biggest common factor number is the GCF number.
So the greatest common factor 8282,7347 is 1.

Lets's calculate LCM of 100,190

2 100, 190
5 50, 95
10, 19

∴ So the LCM of the given numbers is 2 x 5 x 10 x 19 = 1900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1900

Therefore, the GCF of Fractions 8282/100,7347/190 is 1/1900

Least Common Multiple of 100,190 with GCF Formula

Least Common Multiple of 100,190 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 100,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,190) = 10

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

GCF(100,190) x common factors =10 x 1 = 10

LCM(100,190) = ( 100 × 190 ) / 10

LCM(100,190) = 19000 / 10

LCM(100,190) = 1900


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 8282/100, 7347/190

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 8282/100, 7347/190?

Answer: GCF of Numerators as per given numbers 8282/100, 7347/190 is

GCF of Numerators i.e. for 8282,7347 is 1

LCM of denominators i.e. for 100,190 is 1900.

Thus, GCF of Fractions is 1/1900.Finally, GCF of Fractions for 8282/100, 7347/190 is 1/1900.