Greatest Common Factor of 190/143, 8360/3743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 190/143, 8360/3743

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 190/143,8360/3743

Given fractions are 190/143,8360/3743

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 190,8360

Greatest Common Factor of Numerators i.e. GCF of 190,8360 is 190 .

LCM of Denominators means LCM of 143,3743 as per the given fractions.

LCM of 143,3743 is 535249 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 190,8360

GCF of Fractions 190/143,8360/3743 is 190/535249

2 190, 8360
5 95, 4180
19 19, 836
1, 44

∴ So the GCF of the given numbers is 2 x 5 x 19 = 190

Greatest Common Factor of 190,8360 By Matching Biggest Common Factor Method

Greatest Common Factor of 190,8360 By Matching Biggest Common Factor Method

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Factors of 8360

List of positive integer factors of 8360 that divides 8360 without a remainder.

1,2,4,5,8,10,11,19,20,22,38,40,44,55,76,88,95,110,152,190,209,220,380,418,440,760,836,1045,1672,2090,4180,8360

Greatest Common Factor

We found the factors 190,8360 . The biggest common factor number is the GCF number.
So the greatest common factor 190,8360 is 190.

Lets's calculate LCM of 143,3743

Given numbers has no common factors except 1. So, there LCM is their product i.e 535249

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 190/535249

Therefore, the GCF of Fractions 190/143,8360/3743 is 190/535249

Least Common Multiple of 143,3743 with GCF Formula

Least Common Multiple of 143,3743 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 143,3743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,3743) = 1

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

GCF(143,3743) x common factors =1 x 1 = 1

LCM(143,3743) = ( 143 × 3743 ) / 1

LCM(143,3743) = 535249 / 1

LCM(143,3743) = 535249


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 190/143, 8360/3743

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 190/143, 8360/3743?

Answer: GCF of Numerators as per given numbers 190/143, 8360/3743 is

GCF of Numerators i.e. for 190,8360 is 190

LCM of denominators i.e. for 143,3743 is 535249.

Thus, GCF of Fractions is 190/535249.Finally, GCF of Fractions for 190/143, 8360/3743 is 190/535249.