Greatest Common Factor of 9044/346, 5642/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9044/346, 5642/744

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 9044/346,5642/744

Given fractions are 9044/346,5642/744

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 9044,5642

Greatest Common Factor of Numerators i.e. GCF of 9044,5642 is 14 .

LCM of Denominators means LCM of 346,744 as per the given fractions.

LCM of 346,744 is 128712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9044,5642

GCF of Fractions 9044/346,5642/744 is 14/128712

2 9044, 5642
7 4522, 2821
646, 403

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 9044,5642 By Matching Biggest Common Factor Method

Greatest Common Factor of 9044,5642 By Matching Biggest Common Factor Method

Factors of 9044

List of positive integer factors of 9044 that divides 9044 without a remainder.

1,2,4,7,14,17,19,28,34,38,68,76,119,133,238,266,323,476,532,646,1292,2261,4522,9044

Factors of 5642

List of positive integer factors of 5642 that divides 5642 without a remainder.

1,2,7,13,14,26,31,62,91,182,217,403,434,806,2821,5642

Greatest Common Factor

We found the factors 9044,5642 . The biggest common factor number is the GCF number.
So the greatest common factor 9044,5642 is 14.

Lets's calculate LCM of 346,744

2 346, 744
173, 372

∴ So the LCM of the given numbers is 2 x 173 x 372 = 128712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/128712

Therefore, the GCF of Fractions 9044/346,5642/744 is 14/128712

Least Common Multiple of 346,744 with GCF Formula

Least Common Multiple of 346,744 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 346,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(346,744) = 2

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

GCF(346,744) x common factors =2 x 1 = 2

LCM(346,744) = ( 346 × 744 ) / 2

LCM(346,744) = 257424 / 2

LCM(346,744) = 128712


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 9044/346, 5642/744

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 9044/346, 5642/744?

Answer: GCF of Numerators as per given numbers 9044/346, 5642/744 is

GCF of Numerators i.e. for 9044,5642 is 14

LCM of denominators i.e. for 346,744 is 128712.

Thus, GCF of Fractions is 14/128712.Finally, GCF of Fractions for 9044/346, 5642/744 is 14/128712.