Greatest Common Factor of 92/289, 5440/4144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/289, 5440/4144

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 92/289,5440/4144

Given fractions are 92/289,5440/4144

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 92,5440

Greatest Common Factor of Numerators i.e. GCF of 92,5440 is 4 .

LCM of Denominators means LCM of 289,4144 as per the given fractions.

LCM of 289,4144 is 1197616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,5440

GCF of Fractions 92/289,5440/4144 is 4/1197616

2 92, 5440
2 46, 2720
23, 1360

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

Greatest Common Factor of 92,5440 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,5440 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 5440

List of positive integer factors of 5440 that divides 5440 without a remainder.

1,2,4,5,8,10,16,17,20,32,34,40,64,68,80,85,136,160,170,272,320,340,544,680,1088,1360,2720,5440

Greatest Common Factor

We found the factors 92,5440 . The biggest common factor number is the GCF number.
So the greatest common factor 92,5440 is 4.

Lets's calculate LCM of 289,4144

Given numbers has no common factors except 1. So, there LCM is their product i.e 1197616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1197616

Therefore, the GCF of Fractions 92/289,5440/4144 is 4/1197616

Least Common Multiple of 289,4144 with GCF Formula

Least Common Multiple of 289,4144 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 289,4144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,4144) = 1

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

GCF(289,4144) x common factors =1 x 1 = 1

LCM(289,4144) = ( 289 × 4144 ) / 1

LCM(289,4144) = 1197616 / 1

LCM(289,4144) = 1197616


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 92/289, 5440/4144

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 92/289, 5440/4144?

Answer: GCF of Numerators as per given numbers 92/289, 5440/4144 is

GCF of Numerators i.e. for 92,5440 is 4

LCM of denominators i.e. for 289,4144 is 1197616.

Thus, GCF of Fractions is 4/1197616.Finally, GCF of Fractions for 92/289, 5440/4144 is 4/1197616.