Greatest Common Factor of 290/792, 223/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 290/792, 223/385

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 290/792,223/385

Given fractions are 290/792,223/385

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 290,223

Greatest Common Factor of Numerators i.e. GCF of 290,223 is 1 .

LCM of Denominators means LCM of 792,385 as per the given fractions.

LCM of 792,385 is 27720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 290,223

GCF of Fractions 290/792,223/385 is 1/27720

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

Greatest Common Factor of 290,223 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,223 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Greatest Common Factor

We found the factors 290,223 . The biggest common factor number is the GCF number.
So the greatest common factor 290,223 is 1.

Lets's calculate LCM of 792,385

11 792, 385
72, 35

∴ So the LCM of the given numbers is 11 x 72 x 35 = 27720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27720

Therefore, the GCF of Fractions 290/792,223/385 is 1/27720

Least Common Multiple of 792,385 with GCF Formula

Least Common Multiple of 792,385 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 792,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,385) = 11

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

GCF(792,385) x common factors =11 x 1 = 11

LCM(792,385) = ( 792 × 385 ) / 11

LCM(792,385) = 304920 / 11

LCM(792,385) = 27720


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 290/792, 223/385

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 290/792, 223/385?

Answer: GCF of Numerators as per given numbers 290/792, 223/385 is

GCF of Numerators i.e. for 290,223 is 1

LCM of denominators i.e. for 792,385 is 27720.

Thus, GCF of Fractions is 1/27720.Finally, GCF of Fractions for 290/792, 223/385 is 1/27720.