Greatest Common Factor of 1830/806, 1880/4169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1830/806, 1880/4169

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 1830/806,1880/4169

Given fractions are 1830/806,1880/4169

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 1830,1880

Greatest Common Factor of Numerators i.e. GCF of 1830,1880 is 10 .

LCM of Denominators means LCM of 806,4169 as per the given fractions.

LCM of 806,4169 is 3360214 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1830,1880

GCF of Fractions 1830/806,1880/4169 is 10/3360214

2 1830, 1880
5 915, 940
183, 188

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 1830,1880 By Matching Biggest Common Factor Method

Greatest Common Factor of 1830,1880 By Matching Biggest Common Factor Method

Factors of 1830

List of positive integer factors of 1830 that divides 1830 without a remainder.

1,2,3,5,6,10,15,30,61,122,183,305,366,610,915,1830

Factors of 1880

List of positive integer factors of 1880 that divides 1880 without a remainder.

1,2,4,5,8,10,20,40,47,94,188,235,376,470,940,1880

Greatest Common Factor

We found the factors 1830,1880 . The biggest common factor number is the GCF number.
So the greatest common factor 1830,1880 is 10.

Lets's calculate LCM of 806,4169

Given numbers has no common factors except 1. So, there LCM is their product i.e 3360214

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3360214

Therefore, the GCF of Fractions 1830/806,1880/4169 is 10/3360214

Least Common Multiple of 806,4169 with GCF Formula

Least Common Multiple of 806,4169 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 806,4169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,4169) = 1

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

GCF(806,4169) x common factors =1 x 1 = 1

LCM(806,4169) = ( 806 × 4169 ) / 1

LCM(806,4169) = 3360214 / 1

LCM(806,4169) = 3360214


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 1830/806, 1880/4169

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 1830/806, 1880/4169?

Answer: GCF of Numerators as per given numbers 1830/806, 1880/4169 is

GCF of Numerators i.e. for 1830,1880 is 10

LCM of denominators i.e. for 806,4169 is 3360214.

Thus, GCF of Fractions is 10/3360214.Finally, GCF of Fractions for 1830/806, 1880/4169 is 10/3360214.