Greatest Common Factor of 385/96, 865/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 385/96, 865/514

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 385/96,865/514

Given fractions are 385/96,865/514

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 385,865

Greatest Common Factor of Numerators i.e. GCF of 385,865 is 5 .

LCM of Denominators means LCM of 96,514 as per the given fractions.

LCM of 96,514 is 24672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 385,865

GCF of Fractions 385/96,865/514 is 5/24672

5 385, 865
77, 173

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 385,865 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,865 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Greatest Common Factor

We found the factors 385,865 . The biggest common factor number is the GCF number.
So the greatest common factor 385,865 is 5.

Lets's calculate LCM of 96,514

2 96, 514
48, 257

∴ So the LCM of the given numbers is 2 x 48 x 257 = 24672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/24672

Therefore, the GCF of Fractions 385/96,865/514 is 5/24672

Least Common Multiple of 96,514 with GCF Formula

Least Common Multiple of 96,514 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 96,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,514) = 2

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

GCF(96,514) x common factors =2 x 1 = 2

LCM(96,514) = ( 96 × 514 ) / 2

LCM(96,514) = 49344 / 2

LCM(96,514) = 24672


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 385/96, 865/514

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 385/96, 865/514?

Answer: GCF of Numerators as per given numbers 385/96, 865/514 is

GCF of Numerators i.e. for 385,865 is 5

LCM of denominators i.e. for 96,514 is 24672.

Thus, GCF of Fractions is 5/24672.Finally, GCF of Fractions for 385/96, 865/514 is 5/24672.