Greatest Common Factor of 1693/195, 6905/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1693/195, 6905/384

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 1693/195,6905/384

Given fractions are 1693/195,6905/384

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 1693,6905

Greatest Common Factor of Numerators i.e. GCF of 1693,6905 is 1 .

LCM of Denominators means LCM of 195,384 as per the given fractions.

LCM of 195,384 is 24960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1693,6905

GCF of Fractions 1693/195,6905/384 is 1/24960

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

Greatest Common Factor of 1693,6905 By Matching Biggest Common Factor Method

Greatest Common Factor of 1693,6905 By Matching Biggest Common Factor Method

Factors of 1693

List of positive integer factors of 1693 that divides 1693 without a remainder.

1,1693

Factors of 6905

List of positive integer factors of 6905 that divides 6905 without a remainder.

1,5,1381,6905

Greatest Common Factor

We found the factors 1693,6905 . The biggest common factor number is the GCF number.
So the greatest common factor 1693,6905 is 1.

Lets's calculate LCM of 195,384

3 195, 384
65, 128

∴ So the LCM of the given numbers is 3 x 65 x 128 = 24960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24960

Therefore, the GCF of Fractions 1693/195,6905/384 is 1/24960

Least Common Multiple of 195,384 with GCF Formula

Least Common Multiple of 195,384 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 195,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(195,384) = 3

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

GCF(195,384) x common factors =3 x 1 = 3

LCM(195,384) = ( 195 × 384 ) / 3

LCM(195,384) = 74880 / 3

LCM(195,384) = 24960


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 1693/195, 6905/384

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 1693/195, 6905/384?

Answer: GCF of Numerators as per given numbers 1693/195, 6905/384 is

GCF of Numerators i.e. for 1693,6905 is 1

LCM of denominators i.e. for 195,384 is 24960.

Thus, GCF of Fractions is 1/24960.Finally, GCF of Fractions for 1693/195, 6905/384 is 1/24960.