Greatest Common Factor of 194/21, 498/10, 483/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 194/21, 498/10, 483/794

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 194/21,498/10,483/794

Given fractions are 194/21,498/10,483/794

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 194,498,483

Greatest Common Factor of Numerators i.e. GCF of 194,498,483 is 1 .

LCM of Denominators means LCM of 21,10,794 as per the given fractions.

LCM of 21,10,794 is 83370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 194,498,483

GCF of Fractions 194/21,498/10,483/794 is 1/83370

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

Greatest Common Factor of 194,498,483 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,498,483 By Matching Biggest Common Factor Method

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Greatest Common Factor

We found the factors 194,498,483 . The biggest common factor number is the GCF number.
So the greatest common factor 194,498,483 is 1.

Lets's calculate LCM of 21,10,794

2 21, 10, 794
21, 5, 397

∴ So the LCM of the given numbers is 2 x 21 x 5 x 397 = 83370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83370

Therefore, the GCF of Fractions 194/21,498/10,483/794 is 1/83370

Least Common Multiple of 21,10,794 with GCF Formula

Least Common Multiple of 21,10,794 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 21,10,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,10,794) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(21,10,794) x common factors =1 x 2 = 2

LCM(21,10,794) = ( 21 × 10 × 794 ) / 2

LCM(21,10,794) = 166740 / 2

LCM(21,10,794) = 83370


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 194/21, 498/10, 483/794

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 194/21, 498/10, 483/794?

Answer: GCF of Numerators as per given numbers 194/21, 498/10, 483/794 is

GCF of Numerators i.e. for 194,498,483 is 1

LCM of denominators i.e. for 21,10,794 is 83370.

Thus, GCF of Fractions is 1/83370.Finally, GCF of Fractions for 194/21, 498/10, 483/794 is 1/83370.