Greatest Common Factor of 353/35, 530/38, 283/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 353/35, 530/38, 283/903

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 353/35,530/38,283/903

Given fractions are 353/35,530/38,283/903

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 353,530,283

Greatest Common Factor of Numerators i.e. GCF of 353,530,283 is 1 .

LCM of Denominators means LCM of 35,38,903 as per the given fractions.

LCM of 35,38,903 is 171570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 353,530,283

GCF of Fractions 353/35,530/38,283/903 is 1/171570

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

Greatest Common Factor of 353,530,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,530,283 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 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors 353,530,283 . The biggest common factor number is the GCF number.
So the greatest common factor 353,530,283 is 1.

Lets's calculate LCM of 35,38,903

7 35, 38, 903
5, 38, 129

∴ So the LCM of the given numbers is 7 x 5 x 38 x 129 = 171570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171570

Therefore, the GCF of Fractions 353/35,530/38,283/903 is 1/171570

Least Common Multiple of 35,38,903 with GCF Formula

Least Common Multiple of 35,38,903 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 35,38,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,38,903) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(35,38,903) x common factors =1 x 7 = 7

LCM(35,38,903) = ( 35 × 38 × 903 ) / 7

LCM(35,38,903) = 1200990 / 7

LCM(35,38,903) = 171570


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 353/35, 530/38, 283/903

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 353/35, 530/38, 283/903?

Answer: GCF of Numerators as per given numbers 353/35, 530/38, 283/903 is

GCF of Numerators i.e. for 353,530,283 is 1

LCM of denominators i.e. for 35,38,903 is 171570.

Thus, GCF of Fractions is 1/171570.Finally, GCF of Fractions for 353/35, 530/38, 283/903 is 1/171570.