Greatest Common Factor of 353/361, 1719/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 353/361, 1719/303

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 353/361,1719/303

Given fractions are 353/361,1719/303

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 353,1719

Greatest Common Factor of Numerators i.e. GCF of 353,1719 is 1 .

LCM of Denominators means LCM of 361,303 as per the given fractions.

LCM of 361,303 is 109383 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 353,1719

GCF of Fractions 353/361,1719/303 is 1/109383

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

Greatest Common Factor of 353,1719 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,1719 By Matching Biggest Common Factor Method

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 1719

List of positive integer factors of 1719 that divides 1719 without a remainder.

1,3,9,191,573,1719

Greatest Common Factor

We found the factors 353,1719 . The biggest common factor number is the GCF number.
So the greatest common factor 353,1719 is 1.

Lets's calculate LCM of 361,303

Given numbers has no common factors except 1. So, there LCM is their product i.e 109383

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109383

Therefore, the GCF of Fractions 353/361,1719/303 is 1/109383

Least Common Multiple of 361,303 with GCF Formula

Least Common Multiple of 361,303 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 361,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,303) = 1

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

GCF(361,303) x common factors =1 x 1 = 1

LCM(361,303) = ( 361 × 303 ) / 1

LCM(361,303) = 109383 / 1

LCM(361,303) = 109383


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 353/361, 1719/303

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 353/361, 1719/303?

Answer: GCF of Numerators as per given numbers 353/361, 1719/303 is

GCF of Numerators i.e. for 353,1719 is 1

LCM of denominators i.e. for 361,303 is 109383.

Thus, GCF of Fractions is 1/109383.Finally, GCF of Fractions for 353/361, 1719/303 is 1/109383.