Greatest Common Factor of 941/465, 223/707, 206/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 941/465, 223/707, 206/230

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 941/465,223/707,206/230

Given fractions are 941/465,223/707,206/230

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 941,223,206

Greatest Common Factor of Numerators i.e. GCF of 941,223,206 is 1 .

LCM of Denominators means LCM of 465,707,230 as per the given fractions.

LCM of 465,707,230 is 15122730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 941,223,206

GCF of Fractions 941/465,223/707,206/230 is 1/15122730

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

Greatest Common Factor of 941,223,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 941,223,206 By Matching Biggest Common Factor Method

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Factors of 223

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

1,223

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 941,223,206 . The biggest common factor number is the GCF number.
So the greatest common factor 941,223,206 is 1.

Lets's calculate LCM of 465,707,230

5 465, 707, 230
93, 707, 46

∴ So the LCM of the given numbers is 5 x 93 x 707 x 46 = 15122730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15122730

Therefore, the GCF of Fractions 941/465,223/707,206/230 is 1/15122730

Least Common Multiple of 465,707,230 with GCF Formula

Least Common Multiple of 465,707,230 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 465,707,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,707,230) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(465,707,230) x common factors =1 x 5 = 5

LCM(465,707,230) = ( 465 × 707 × 230 ) / 5

LCM(465,707,230) = 75613650 / 5

LCM(465,707,230) = 15122730


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 941/465, 223/707, 206/230

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 941/465, 223/707, 206/230?

Answer: GCF of Numerators as per given numbers 941/465, 223/707, 206/230 is

GCF of Numerators i.e. for 941,223,206 is 1

LCM of denominators i.e. for 465,707,230 is 15122730.

Thus, GCF of Fractions is 1/15122730.Finally, GCF of Fractions for 941/465, 223/707, 206/230 is 1/15122730.