Greatest Common Factor of 328/288, 762/145, 317/853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 328/288, 762/145, 317/853

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 328/288,762/145,317/853

Given fractions are 328/288,762/145,317/853

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 328,762,317

Greatest Common Factor of Numerators i.e. GCF of 328,762,317 is 1 .

LCM of Denominators means LCM of 288,145,853 as per the given fractions.

LCM of 288,145,853 is 35621280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 328,762,317

GCF of Fractions 328/288,762/145,317/853 is 1/35621280

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

Greatest Common Factor of 328,762,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,762,317 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors 328,762,317 . The biggest common factor number is the GCF number.
So the greatest common factor 328,762,317 is 1.

Lets's calculate LCM of 288,145,853

Given numbers has no common factors except 1. So, there LCM is their product i.e 35621280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35621280

Therefore, the GCF of Fractions 328/288,762/145,317/853 is 1/35621280

Least Common Multiple of 288,145,853 with GCF Formula

Least Common Multiple of 288,145,853 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 288,145,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,145,853) = 1

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

GCF(288,145,853) x common factors =1 x 1 = 1

LCM(288,145,853) = ( 288 × 145 × 853 ) / 1

LCM(288,145,853) = 35621280 / 1

LCM(288,145,853) = 35621280


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 328/288, 762/145, 317/853

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 328/288, 762/145, 317/853?

Answer: GCF of Numerators as per given numbers 328/288, 762/145, 317/853 is

GCF of Numerators i.e. for 328,762,317 is 1

LCM of denominators i.e. for 288,145,853 is 35621280.

Thus, GCF of Fractions is 1/35621280.Finally, GCF of Fractions for 328/288, 762/145, 317/853 is 1/35621280.