Greatest Common Factor of 223/308, 349/909, 110/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 223/308, 349/909, 110/460

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 223/308,349/909,110/460

Given fractions are 223/308,349/909,110/460

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 223,349,110

Greatest Common Factor of Numerators i.e. GCF of 223,349,110 is 1 .

LCM of Denominators means LCM of 308,909,460 as per the given fractions.

LCM of 308,909,460 is 32196780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 223,349,110

GCF of Fractions 223/308,349/909,110/460 is 1/32196780

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

Greatest Common Factor of 223,349,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 223,349,110 By Matching Biggest Common Factor Method

Factors of 223

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

1,223

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 223,349,110 . The biggest common factor number is the GCF number.
So the greatest common factor 223,349,110 is 1.

Lets's calculate LCM of 308,909,460

2 308, 909, 460
2 154, 909, 230
77, 909, 115

∴ So the LCM of the given numbers is 2 x 2 x 77 x 909 x 115 = 32196780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32196780

Therefore, the GCF of Fractions 223/308,349/909,110/460 is 1/32196780

Least Common Multiple of 308,909,460 with GCF Formula

Least Common Multiple of 308,909,460 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 308,909,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,909,460) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(308,909,460) x common factors =1 x 4 = 4

LCM(308,909,460) = ( 308 × 909 × 460 ) / 4

LCM(308,909,460) = 128787120 / 4

LCM(308,909,460) = 32196780


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 223/308, 349/909, 110/460

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 223/308, 349/909, 110/460?

Answer: GCF of Numerators as per given numbers 223/308, 349/909, 110/460 is

GCF of Numerators i.e. for 223,349,110 is 1

LCM of denominators i.e. for 308,909,460 is 32196780.

Thus, GCF of Fractions is 1/32196780.Finally, GCF of Fractions for 223/308, 349/909, 110/460 is 1/32196780.