Greatest Common Factor of 317/90, 1430/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 317/90, 1430/514

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 317/90,1430/514

Given fractions are 317/90,1430/514

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 317,1430

Greatest Common Factor of Numerators i.e. GCF of 317,1430 is 1 .

LCM of Denominators means LCM of 90,514 as per the given fractions.

LCM of 90,514 is 23130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 317,1430

GCF of Fractions 317/90,1430/514 is 1/23130

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

Greatest Common Factor of 317,1430 By Matching Biggest Common Factor Method

Greatest Common Factor of 317,1430 By Matching Biggest Common Factor Method

Factors of 317

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

1,317

Factors of 1430

List of positive integer factors of 1430 that divides 1430 without a remainder.

1,2,5,10,11,13,22,26,55,65,110,130,143,286,715,1430

Greatest Common Factor

We found the factors 317,1430 . The biggest common factor number is the GCF number.
So the greatest common factor 317,1430 is 1.

Lets's calculate LCM of 90,514

2 90, 514
45, 257

∴ So the LCM of the given numbers is 2 x 45 x 257 = 23130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23130

Therefore, the GCF of Fractions 317/90,1430/514 is 1/23130

Least Common Multiple of 90,514 with GCF Formula

Least Common Multiple of 90,514 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 90,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,514) = 2

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

GCF(90,514) x common factors =2 x 1 = 2

LCM(90,514) = ( 90 × 514 ) / 2

LCM(90,514) = 46260 / 2

LCM(90,514) = 23130


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 317/90, 1430/514

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 317/90, 1430/514?

Answer: GCF of Numerators as per given numbers 317/90, 1430/514 is

GCF of Numerators i.e. for 317,1430 is 1

LCM of denominators i.e. for 90,514 is 23130.

Thus, GCF of Fractions is 1/23130.Finally, GCF of Fractions for 317/90, 1430/514 is 1/23130.