Greatest Common Factor of 233/480, 1369/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 233/480, 1369/735

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 233/480,1369/735

Given fractions are 233/480,1369/735

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 233,1369

Greatest Common Factor of Numerators i.e. GCF of 233,1369 is 1 .

LCM of Denominators means LCM of 480,735 as per the given fractions.

LCM of 480,735 is 23520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 233,1369

GCF of Fractions 233/480,1369/735 is 1/23520

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

Greatest Common Factor of 233,1369 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,1369 By Matching Biggest Common Factor Method

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 1369

List of positive integer factors of 1369 that divides 1369 without a remainder.

1,37,1369

Greatest Common Factor

We found the factors 233,1369 . The biggest common factor number is the GCF number.
So the greatest common factor 233,1369 is 1.

Lets's calculate LCM of 480,735

3 480, 735
5 160, 245
32, 49

∴ So the LCM of the given numbers is 3 x 5 x 32 x 49 = 23520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23520

Therefore, the GCF of Fractions 233/480,1369/735 is 1/23520

Least Common Multiple of 480,735 with GCF Formula

Least Common Multiple of 480,735 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 480,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,735) = 15

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

GCF(480,735) x common factors =15 x 1 = 15

LCM(480,735) = ( 480 × 735 ) / 15

LCM(480,735) = 352800 / 15

LCM(480,735) = 23520


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 233/480, 1369/735

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 233/480, 1369/735?

Answer: GCF of Numerators as per given numbers 233/480, 1369/735 is

GCF of Numerators i.e. for 233,1369 is 1

LCM of denominators i.e. for 480,735 is 23520.

Thus, GCF of Fractions is 1/23520.Finally, GCF of Fractions for 233/480, 1369/735 is 1/23520.