Greatest Common Factor of 4342/226, 1036/2048

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 4342/226, 1036/2048

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 4342/226,1036/2048

Given fractions are 4342/226,1036/2048

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 4342,1036

Greatest Common Factor of Numerators i.e. GCF of 4342,1036 is 2 .

LCM of Denominators means LCM of 226,2048 as per the given fractions.

LCM of 226,2048 is 231424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4342,1036

GCF of Fractions 4342/226,1036/2048 is 2/231424

2 4342, 1036
2171, 518

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

Greatest Common Factor of 4342,1036 By Matching Biggest Common Factor Method

Greatest Common Factor of 4342,1036 By Matching Biggest Common Factor Method

Factors of 4342

List of positive integer factors of 4342 that divides 4342 without a remainder.

1,2,13,26,167,334,2171,4342

Factors of 1036

List of positive integer factors of 1036 that divides 1036 without a remainder.

1,2,4,7,14,28,37,74,148,259,518,1036

Greatest Common Factor

We found the factors 4342,1036 . The biggest common factor number is the GCF number.
So the greatest common factor 4342,1036 is 2.


Lets's calculate LCM of 226,2048

2 226, 2048
113, 1024

∴ So the LCM of the given numbers is 2 x 113 x 1024 = 231424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/231424

Therefore, the GCF of Fractions 4342/226,1036/2048 is 2/231424

Least Common Multiple of 226,2048 with GCF Formula

Least Common Multiple of 226,2048 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 226,2048 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(226,2048) = 2

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

GCF(226,2048) x common factors =2 x 1 = 2

LCM(226,2048) = ( 226 × 2048 ) / 2

LCM(226,2048) = 462848 / 2

LCM(226,2048) = 231424


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 4342/226, 1036/2048

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 4342/226, 1036/2048?

Answer: GCF of Numerators as per given numbers 4342/226, 1036/2048 is

GCF of Numerators i.e. for 4342,1036 is 2

LCM of denominators i.e. for 226,2048 is 231424.

Thus, GCF of Fractions is 2/231424.Finally, GCF of Fractions for 4342/226, 1036/2048 is 2/231424.