Greatest Common Factor of 1923/18, 1758/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1923/18, 1758/140

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 1923/18,1758/140

Given fractions are 1923/18,1758/140

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 1923,1758

Greatest Common Factor of Numerators i.e. GCF of 1923,1758 is 3 .

LCM of Denominators means LCM of 18,140 as per the given fractions.

LCM of 18,140 is 1260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1923,1758

GCF of Fractions 1923/18,1758/140 is 3/1260

3 1923, 1758
641, 586

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1923,1758 By Matching Biggest Common Factor Method

Greatest Common Factor of 1923,1758 By Matching Biggest Common Factor Method

Factors of 1923

List of positive integer factors of 1923 that divides 1923 without a remainder.

1,3,641,1923

Factors of 1758

List of positive integer factors of 1758 that divides 1758 without a remainder.

1,2,3,6,293,586,879,1758

Greatest Common Factor

We found the factors 1923,1758 . The biggest common factor number is the GCF number.
So the greatest common factor 1923,1758 is 3.

Lets's calculate LCM of 18,140

2 18, 140
9, 70

∴ So the LCM of the given numbers is 2 x 9 x 70 = 1260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1260

Therefore, the GCF of Fractions 1923/18,1758/140 is 3/1260

Least Common Multiple of 18,140 with GCF Formula

Least Common Multiple of 18,140 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 18,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,140) = 2

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

GCF(18,140) x common factors =2 x 1 = 2

LCM(18,140) = ( 18 × 140 ) / 2

LCM(18,140) = 2520 / 2

LCM(18,140) = 1260


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 1923/18, 1758/140

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 1923/18, 1758/140?

Answer: GCF of Numerators as per given numbers 1923/18, 1758/140 is

GCF of Numerators i.e. for 1923,1758 is 3

LCM of denominators i.e. for 18,140 is 1260.

Thus, GCF of Fractions is 3/1260.Finally, GCF of Fractions for 1923/18, 1758/140 is 3/1260.