Greatest Common Factor of 801/514, 6432/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 801/514, 6432/328

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 801/514,6432/328

Given fractions are 801/514,6432/328

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 801,6432

Greatest Common Factor of Numerators i.e. GCF of 801,6432 is 3 .

LCM of Denominators means LCM of 514,328 as per the given fractions.

LCM of 514,328 is 84296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 801,6432

GCF of Fractions 801/514,6432/328 is 3/84296

3 801, 6432
267, 2144

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 801,6432 By Matching Biggest Common Factor Method

Greatest Common Factor of 801,6432 By Matching Biggest Common Factor Method

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 6432

List of positive integer factors of 6432 that divides 6432 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,67,96,134,201,268,402,536,804,1072,1608,2144,3216,6432

Greatest Common Factor

We found the factors 801,6432 . The biggest common factor number is the GCF number.
So the greatest common factor 801,6432 is 3.

Lets's calculate LCM of 514,328

2 514, 328
257, 164

∴ So the LCM of the given numbers is 2 x 257 x 164 = 84296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/84296

Therefore, the GCF of Fractions 801/514,6432/328 is 3/84296

Least Common Multiple of 514,328 with GCF Formula

Least Common Multiple of 514,328 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 514,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,328) = 2

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

GCF(514,328) x common factors =2 x 1 = 2

LCM(514,328) = ( 514 × 328 ) / 2

LCM(514,328) = 168592 / 2

LCM(514,328) = 84296


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 801/514, 6432/328

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 801/514, 6432/328?

Answer: GCF of Numerators as per given numbers 801/514, 6432/328 is

GCF of Numerators i.e. for 801,6432 is 3

LCM of denominators i.e. for 514,328 is 84296.

Thus, GCF of Fractions is 3/84296.Finally, GCF of Fractions for 801/514, 6432/328 is 3/84296.