Greatest Common Factor of 1869/14, 1990/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1869/14, 1990/332

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 1869/14,1990/332

Given fractions are 1869/14,1990/332

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 1869,1990

Greatest Common Factor of Numerators i.e. GCF of 1869,1990 is 1 .

LCM of Denominators means LCM of 14,332 as per the given fractions.

LCM of 14,332 is 2324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1869,1990

GCF of Fractions 1869/14,1990/332 is 1/2324

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

Greatest Common Factor of 1869,1990 By Matching Biggest Common Factor Method

Greatest Common Factor of 1869,1990 By Matching Biggest Common Factor Method

Factors of 1869

List of positive integer factors of 1869 that divides 1869 without a remainder.

1,3,7,21,89,267,623,1869

Factors of 1990

List of positive integer factors of 1990 that divides 1990 without a remainder.

1,2,5,10,199,398,995,1990

Greatest Common Factor

We found the factors 1869,1990 . The biggest common factor number is the GCF number.
So the greatest common factor 1869,1990 is 1.

Lets's calculate LCM of 14,332

2 14, 332
7, 166

∴ So the LCM of the given numbers is 2 x 7 x 166 = 2324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2324

Therefore, the GCF of Fractions 1869/14,1990/332 is 1/2324

Least Common Multiple of 14,332 with GCF Formula

Least Common Multiple of 14,332 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 14,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,332) = 2

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

GCF(14,332) x common factors =2 x 1 = 2

LCM(14,332) = ( 14 × 332 ) / 2

LCM(14,332) = 4648 / 2

LCM(14,332) = 2324


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 1869/14, 1990/332

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 1869/14, 1990/332?

Answer: GCF of Numerators as per given numbers 1869/14, 1990/332 is

GCF of Numerators i.e. for 1869,1990 is 1

LCM of denominators i.e. for 14,332 is 2324.

Thus, GCF of Fractions is 1/2324.Finally, GCF of Fractions for 1869/14, 1990/332 is 1/2324.