Greatest Common Factor of 6870/203, 4669/8219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6870/203, 4669/8219

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 6870/203,4669/8219

Given fractions are 6870/203,4669/8219

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 6870,4669

Greatest Common Factor of Numerators i.e. GCF of 6870,4669 is 1 .

LCM of Denominators means LCM of 203,8219 as per the given fractions.

LCM of 203,8219 is 1668457 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6870,4669

GCF of Fractions 6870/203,4669/8219 is 1/1668457

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

Greatest Common Factor of 6870,4669 By Matching Biggest Common Factor Method

Greatest Common Factor of 6870,4669 By Matching Biggest Common Factor Method

Factors of 6870

List of positive integer factors of 6870 that divides 6870 without a remainder.

1,2,3,5,6,10,15,30,229,458,687,1145,1374,2290,3435,6870

Factors of 4669

List of positive integer factors of 4669 that divides 4669 without a remainder.

1,7,23,29,161,203,667,4669

Greatest Common Factor

We found the factors 6870,4669 . The biggest common factor number is the GCF number.
So the greatest common factor 6870,4669 is 1.

Lets's calculate LCM of 203,8219

Given numbers has no common factors except 1. So, there LCM is their product i.e 1668457

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1668457

Therefore, the GCF of Fractions 6870/203,4669/8219 is 1/1668457

Least Common Multiple of 203,8219 with GCF Formula

Least Common Multiple of 203,8219 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 203,8219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(203,8219) = 1

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

GCF(203,8219) x common factors =1 x 1 = 1

LCM(203,8219) = ( 203 × 8219 ) / 1

LCM(203,8219) = 1668457 / 1

LCM(203,8219) = 1668457


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 6870/203, 4669/8219

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 6870/203, 4669/8219?

Answer: GCF of Numerators as per given numbers 6870/203, 4669/8219 is

GCF of Numerators i.e. for 6870,4669 is 1

LCM of denominators i.e. for 203,8219 is 1668457.

Thus, GCF of Fractions is 1/1668457.Finally, GCF of Fractions for 6870/203, 4669/8219 is 1/1668457.