Greatest Common Factor of 3445/226, 4844/2848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3445/226, 4844/2848

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 3445/226,4844/2848

Given fractions are 3445/226,4844/2848

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 3445,4844

Greatest Common Factor of Numerators i.e. GCF of 3445,4844 is 1 .

LCM of Denominators means LCM of 226,2848 as per the given fractions.

LCM of 226,2848 is 321824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3445,4844

GCF of Fractions 3445/226,4844/2848 is 1/321824

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

Greatest Common Factor of 3445,4844 By Matching Biggest Common Factor Method

Greatest Common Factor of 3445,4844 By Matching Biggest Common Factor Method

Factors of 3445

List of positive integer factors of 3445 that divides 3445 without a remainder.

1,5,13,53,65,265,689,3445

Factors of 4844

List of positive integer factors of 4844 that divides 4844 without a remainder.

1,2,4,7,14,28,173,346,692,1211,2422,4844

Greatest Common Factor

We found the factors 3445,4844 . The biggest common factor number is the GCF number.
So the greatest common factor 3445,4844 is 1.

Lets's calculate LCM of 226,2848

2 226, 2848
113, 1424

∴ So the LCM of the given numbers is 2 x 113 x 1424 = 321824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/321824

Therefore, the GCF of Fractions 3445/226,4844/2848 is 1/321824

Least Common Multiple of 226,2848 with GCF Formula

Least Common Multiple of 226,2848 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 226,2848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(226,2848) = 2

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

GCF(226,2848) x common factors =2 x 1 = 2

LCM(226,2848) = ( 226 × 2848 ) / 2

LCM(226,2848) = 643648 / 2

LCM(226,2848) = 321824


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 3445/226, 4844/2848

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 3445/226, 4844/2848?

Answer: GCF of Numerators as per given numbers 3445/226, 4844/2848 is

GCF of Numerators i.e. for 3445,4844 is 1

LCM of denominators i.e. for 226,2848 is 321824.

Thus, GCF of Fractions is 1/321824.Finally, GCF of Fractions for 3445/226, 4844/2848 is 1/321824.