Greatest Common Factor of 3798/20, 2350/831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3798/20, 2350/831

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 3798/20,2350/831

Given fractions are 3798/20,2350/831

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 3798,2350

Greatest Common Factor of Numerators i.e. GCF of 3798,2350 is 2 .

LCM of Denominators means LCM of 20,831 as per the given fractions.

LCM of 20,831 is 16620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3798,2350

GCF of Fractions 3798/20,2350/831 is 2/16620

2 3798, 2350
1899, 1175

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

Greatest Common Factor of 3798,2350 By Matching Biggest Common Factor Method

Greatest Common Factor of 3798,2350 By Matching Biggest Common Factor Method

Factors of 3798

List of positive integer factors of 3798 that divides 3798 without a remainder.

1,2,3,6,9,18,211,422,633,1266,1899,3798

Factors of 2350

List of positive integer factors of 2350 that divides 2350 without a remainder.

1,2,5,10,25,47,50,94,235,470,1175,2350

Greatest Common Factor

We found the factors 3798,2350 . The biggest common factor number is the GCF number.
So the greatest common factor 3798,2350 is 2.

Lets's calculate LCM of 20,831

Given numbers has no common factors except 1. So, there LCM is their product i.e 16620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16620

Therefore, the GCF of Fractions 3798/20,2350/831 is 2/16620

Least Common Multiple of 20,831 with GCF Formula

Least Common Multiple of 20,831 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 20,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,831) = 1

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

GCF(20,831) x common factors =1 x 1 = 1

LCM(20,831) = ( 20 × 831 ) / 1

LCM(20,831) = 16620 / 1

LCM(20,831) = 16620


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 3798/20, 2350/831

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 3798/20, 2350/831?

Answer: GCF of Numerators as per given numbers 3798/20, 2350/831 is

GCF of Numerators i.e. for 3798,2350 is 2

LCM of denominators i.e. for 20,831 is 16620.

Thus, GCF of Fractions is 2/16620.Finally, GCF of Fractions for 3798/20, 2350/831 is 2/16620.