Greatest Common Factor of 7843/896, 5415/2496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7843/896, 5415/2496

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 7843/896,5415/2496

Given fractions are 7843/896,5415/2496

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 7843,5415

Greatest Common Factor of Numerators i.e. GCF of 7843,5415 is 1 .

LCM of Denominators means LCM of 896,2496 as per the given fractions.

LCM of 896,2496 is 34944 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7843,5415

GCF of Fractions 7843/896,5415/2496 is 1/34944

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7843,5415 By Matching Biggest Common Factor Method

Greatest Common Factor of 7843,5415 By Matching Biggest Common Factor Method

Factors of 7843

List of positive integer factors of 7843 that divides 7843 without a remainder.

1,11,23,31,253,341,713,7843

Factors of 5415

List of positive integer factors of 5415 that divides 5415 without a remainder.

1,3,5,15,19,57,95,285,361,1083,1805,5415

Greatest Common Factor

We found the factors 7843,5415 . The biggest common factor number is the GCF number.
So the greatest common factor 7843,5415 is 1.

Lets's calculate LCM of 896,2496

2 896, 2496
2 448, 1248
2 224, 624
2 112, 312
2 56, 156
2 28, 78
14, 39

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 14 x 39 = 34944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34944

Therefore, the GCF of Fractions 7843/896,5415/2496 is 1/34944

Least Common Multiple of 896,2496 with GCF Formula

Least Common Multiple of 896,2496 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 896,2496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,2496) = 64

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

GCF(896,2496) x common factors =64 x 1 = 64

LCM(896,2496) = ( 896 × 2496 ) / 64

LCM(896,2496) = 2236416 / 64

LCM(896,2496) = 34944


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 7843/896, 5415/2496

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 7843/896, 5415/2496?

Answer: GCF of Numerators as per given numbers 7843/896, 5415/2496 is

GCF of Numerators i.e. for 7843,5415 is 1

LCM of denominators i.e. for 896,2496 is 34944.

Thus, GCF of Fractions is 1/34944.Finally, GCF of Fractions for 7843/896, 5415/2496 is 1/34944.