Greatest Common Factor of 3444/289, 1936/3149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3444/289, 1936/3149

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 3444/289,1936/3149

Given fractions are 3444/289,1936/3149

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 3444,1936

Greatest Common Factor of Numerators i.e. GCF of 3444,1936 is 4 .

LCM of Denominators means LCM of 289,3149 as per the given fractions.

LCM of 289,3149 is 910061 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3444,1936

GCF of Fractions 3444/289,1936/3149 is 4/910061

2 3444, 1936
2 1722, 968
861, 484

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3444,1936 By Matching Biggest Common Factor Method

Greatest Common Factor of 3444,1936 By Matching Biggest Common Factor Method

Factors of 3444

List of positive integer factors of 3444 that divides 3444 without a remainder.

1,2,3,4,6,7,12,14,21,28,41,42,82,84,123,164,246,287,492,574,861,1148,1722,3444

Factors of 1936

List of positive integer factors of 1936 that divides 1936 without a remainder.

1,2,4,8,11,16,22,44,88,121,176,242,484,968,1936

Greatest Common Factor

We found the factors 3444,1936 . The biggest common factor number is the GCF number.
So the greatest common factor 3444,1936 is 4.

Lets's calculate LCM of 289,3149

Given numbers has no common factors except 1. So, there LCM is their product i.e 910061

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/910061

Therefore, the GCF of Fractions 3444/289,1936/3149 is 4/910061

Least Common Multiple of 289,3149 with GCF Formula

Least Common Multiple of 289,3149 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 289,3149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,3149) = 1

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

GCF(289,3149) x common factors =1 x 1 = 1

LCM(289,3149) = ( 289 × 3149 ) / 1

LCM(289,3149) = 910061 / 1

LCM(289,3149) = 910061


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3444/289, 1936/3149

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 3444/289, 1936/3149?

Answer: GCF of Numerators as per given numbers 3444/289, 1936/3149 is

GCF of Numerators i.e. for 3444,1936 is 4

LCM of denominators i.e. for 289,3149 is 910061.

Thus, GCF of Fractions is 4/910061.Finally, GCF of Fractions for 3444/289, 1936/3149 is 4/910061.