Greatest Common Factor of 383/81, 945/42, 195/49

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 383/81, 945/42, 195/49

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 383/81,945/42,195/49

Given fractions are 383/81,945/42,195/49

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 383,945,195

Greatest Common Factor of Numerators i.e. GCF of 383,945,195 is 1 .

LCM of Denominators means LCM of 81,42,49 as per the given fractions.

LCM of 81,42,49 is 7938 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 383,945,195

GCF of Fractions 383/81,945/42,195/49 is 1/7938

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

Greatest Common Factor of 383,945,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 383,945,195 By Matching Biggest Common Factor Method

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 383,945,195 . The biggest common factor number is the GCF number.
So the greatest common factor 383,945,195 is 1.

Lets's calculate LCM of 81,42,49

3 81, 42, 49
7 27, 14, 49
27, 2, 7

∴ So the LCM of the given numbers is 3 x 7 x 27 x 2 x 7 = 7938

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7938

Therefore, the GCF of Fractions 383/81,945/42,195/49 is 1/7938

Least Common Multiple of 81,42,49 with GCF Formula

Least Common Multiple of 81,42,49 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 81,42,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,42,49) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(81,42,49) x common factors =1 x 21 = 21

LCM(81,42,49) = ( 81 × 42 × 49 ) / 21

LCM(81,42,49) = 166698 / 21

LCM(81,42,49) = 7938


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 383/81, 945/42, 195/49

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 383/81, 945/42, 195/49?

Answer: GCF of Numerators as per given numbers 383/81, 945/42, 195/49 is

GCF of Numerators i.e. for 383,945,195 is 1

LCM of denominators i.e. for 81,42,49 is 7938.

Thus, GCF of Fractions is 1/7938.Finally, GCF of Fractions for 383/81, 945/42, 195/49 is 1/7938.