Greatest Common Factor of 2384/968, 5440/2945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2384/968, 5440/2945

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 2384/968,5440/2945

Given fractions are 2384/968,5440/2945

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 2384,5440

Greatest Common Factor of Numerators i.e. GCF of 2384,5440 is 16 .

LCM of Denominators means LCM of 968,2945 as per the given fractions.

LCM of 968,2945 is 2850760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2384,5440

GCF of Fractions 2384/968,5440/2945 is 16/2850760

2 2384, 5440
2 1192, 2720
2 596, 1360
2 298, 680
149, 340

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 2384,5440 By Matching Biggest Common Factor Method

Greatest Common Factor of 2384,5440 By Matching Biggest Common Factor Method

Factors of 2384

List of positive integer factors of 2384 that divides 2384 without a remainder.

1,2,4,8,16,149,298,596,1192,2384

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 2384,5440 . The biggest common factor number is the GCF number.
So the greatest common factor 2384,5440 is 16.

Lets's calculate LCM of 968,2945

Given numbers has no common factors except 1. So, there LCM is their product i.e 2850760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/2850760

Therefore, the GCF of Fractions 2384/968,5440/2945 is 16/2850760

Least Common Multiple of 968,2945 with GCF Formula

Least Common Multiple of 968,2945 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 968,2945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,2945) = 1

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

GCF(968,2945) x common factors =1 x 1 = 1

LCM(968,2945) = ( 968 × 2945 ) / 1

LCM(968,2945) = 2850760 / 1

LCM(968,2945) = 2850760


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 2384/968, 5440/2945

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 2384/968, 5440/2945?

Answer: GCF of Numerators as per given numbers 2384/968, 5440/2945 is

GCF of Numerators i.e. for 2384,5440 is 16

LCM of denominators i.e. for 968,2945 is 2850760.

Thus, GCF of Fractions is 16/2850760.Finally, GCF of Fractions for 2384/968, 5440/2945 is 16/2850760.