Greatest Common Factor of 640/884, 267/728, 400/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 640/884, 267/728, 400/806

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 640/884,267/728,400/806

Given fractions are 640/884,267/728,400/806

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 640,267,400

Greatest Common Factor of Numerators i.e. GCF of 640,267,400 is 1 .

LCM of Denominators means LCM of 884,728,806 as per the given fractions.

LCM of 884,728,806 is 383656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 640,267,400

GCF of Fractions 640/884,267/728,400/806 is 1/383656

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

Greatest Common Factor of 640,267,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,267,400 By Matching Biggest Common Factor Method

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 640,267,400 . The biggest common factor number is the GCF number.
So the greatest common factor 640,267,400 is 1.

Lets's calculate LCM of 884,728,806

2 884, 728, 806
2 442, 364, 403
13 221, 182, 403
17, 14, 31

∴ So the LCM of the given numbers is 2 x 2 x 13 x 17 x 14 x 31 = 383656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/383656

Therefore, the GCF of Fractions 640/884,267/728,400/806 is 1/383656

Least Common Multiple of 884,728,806 with GCF Formula

Least Common Multiple of 884,728,806 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 884,728,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,728,806) = 26

common factors(in case of two or more numbers have common factors) = 52

GCF(884,728,806) x common factors =26 x 52 = 1352

LCM(884,728,806) = ( 884 × 728 × 806 ) / 1352

LCM(884,728,806) = 518702912 / 1352

LCM(884,728,806) = 383656


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 640/884, 267/728, 400/806

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 640/884, 267/728, 400/806?

Answer: GCF of Numerators as per given numbers 640/884, 267/728, 400/806 is

GCF of Numerators i.e. for 640,267,400 is 1

LCM of denominators i.e. for 884,728,806 is 383656.

Thus, GCF of Fractions is 1/383656.Finally, GCF of Fractions for 640/884, 267/728, 400/806 is 1/383656.