Greatest Common Factor of 1600/40, 5336/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1600/40, 5336/568

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 1600/40,5336/568

Given fractions are 1600/40,5336/568

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 1600,5336

Greatest Common Factor of Numerators i.e. GCF of 1600,5336 is 8 .

LCM of Denominators means LCM of 40,568 as per the given fractions.

LCM of 40,568 is 2840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1600,5336

GCF of Fractions 1600/40,5336/568 is 8/2840

2 1600, 5336
2 800, 2668
2 400, 1334
200, 667

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 1600,5336 By Matching Biggest Common Factor Method

Greatest Common Factor of 1600,5336 By Matching Biggest Common Factor Method

Factors of 1600

List of positive integer factors of 1600 that divides 1600 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,160,200,320,400,800,1600

Factors of 5336

List of positive integer factors of 5336 that divides 5336 without a remainder.

1,2,4,8,23,29,46,58,92,116,184,232,667,1334,2668,5336

Greatest Common Factor

We found the factors 1600,5336 . The biggest common factor number is the GCF number.
So the greatest common factor 1600,5336 is 8.

Lets's calculate LCM of 40,568

2 40, 568
2 20, 284
2 10, 142
5, 71

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 71 = 2840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2840

Therefore, the GCF of Fractions 1600/40,5336/568 is 8/2840

Least Common Multiple of 40,568 with GCF Formula

Least Common Multiple of 40,568 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 40,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,568) = 8

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

GCF(40,568) x common factors =8 x 1 = 8

LCM(40,568) = ( 40 × 568 ) / 8

LCM(40,568) = 22720 / 8

LCM(40,568) = 2840


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 1600/40, 5336/568

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 1600/40, 5336/568?

Answer: GCF of Numerators as per given numbers 1600/40, 5336/568 is

GCF of Numerators i.e. for 1600,5336 is 8

LCM of denominators i.e. for 40,568 is 2840.

Thus, GCF of Fractions is 8/2840.Finally, GCF of Fractions for 1600/40, 5336/568 is 8/2840.