Greatest Common Factor of 403/288, 608/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 403/288, 608/460

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 403/288,608/460

Given fractions are 403/288,608/460

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 403,608

Greatest Common Factor of Numerators i.e. GCF of 403,608 is 1 .

LCM of Denominators means LCM of 288,460 as per the given fractions.

LCM of 288,460 is 33120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 403,608

GCF of Fractions 403/288,608/460 is 1/33120

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

Greatest Common Factor of 403,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 403,608 By Matching Biggest Common Factor Method

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 403,608 . The biggest common factor number is the GCF number.
So the greatest common factor 403,608 is 1.

Lets's calculate LCM of 288,460

2 288, 460
2 144, 230
72, 115

∴ So the LCM of the given numbers is 2 x 2 x 72 x 115 = 33120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33120

Therefore, the GCF of Fractions 403/288,608/460 is 1/33120

Least Common Multiple of 288,460 with GCF Formula

Least Common Multiple of 288,460 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 288,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,460) = 4

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

GCF(288,460) x common factors =4 x 1 = 4

LCM(288,460) = ( 288 × 460 ) / 4

LCM(288,460) = 132480 / 4

LCM(288,460) = 33120


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 403/288, 608/460

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 403/288, 608/460?

Answer: GCF of Numerators as per given numbers 403/288, 608/460 is

GCF of Numerators i.e. for 403,608 is 1

LCM of denominators i.e. for 288,460 is 33120.

Thus, GCF of Fractions is 1/33120.Finally, GCF of Fractions for 403/288, 608/460 is 1/33120.