Greatest Common Factor of 6400/426, 8288/887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6400/426, 8288/887

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 6400/426,8288/887

Given fractions are 6400/426,8288/887

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 6400,8288

Greatest Common Factor of Numerators i.e. GCF of 6400,8288 is 32 .

LCM of Denominators means LCM of 426,887 as per the given fractions.

LCM of 426,887 is 377862 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6400,8288

GCF of Fractions 6400/426,8288/887 is 32/377862

2 6400, 8288
2 3200, 4144
2 1600, 2072
2 800, 1036
2 400, 518
200, 259

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 6400,8288 By Matching Biggest Common Factor Method

Greatest Common Factor of 6400,8288 By Matching Biggest Common Factor Method

Factors of 6400

List of positive integer factors of 6400 that divides 6400 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,128,160,200,256,320,400,640,800,1280,1600,3200,6400

Factors of 8288

List of positive integer factors of 8288 that divides 8288 without a remainder.

1,2,4,7,8,14,16,28,32,37,56,74,112,148,224,259,296,518,592,1036,1184,2072,4144,8288

Greatest Common Factor

We found the factors 6400,8288 . The biggest common factor number is the GCF number.
So the greatest common factor 6400,8288 is 32.

Lets's calculate LCM of 426,887

Given numbers has no common factors except 1. So, there LCM is their product i.e 377862

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/377862

Therefore, the GCF of Fractions 6400/426,8288/887 is 32/377862

Least Common Multiple of 426,887 with GCF Formula

Least Common Multiple of 426,887 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 426,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,887) = 1

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

GCF(426,887) x common factors =1 x 1 = 1

LCM(426,887) = ( 426 × 887 ) / 1

LCM(426,887) = 377862 / 1

LCM(426,887) = 377862


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 6400/426, 8288/887

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 6400/426, 8288/887?

Answer: GCF of Numerators as per given numbers 6400/426, 8288/887 is

GCF of Numerators i.e. for 6400,8288 is 32

LCM of denominators i.e. for 426,887 is 377862.

Thus, GCF of Fractions is 32/377862.Finally, GCF of Fractions for 6400/426, 8288/887 is 32/377862.