Greatest Common Factor of 1100/14, 2806/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1100/14, 2806/441

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 1100/14,2806/441

Given fractions are 1100/14,2806/441

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 1100,2806

Greatest Common Factor of Numerators i.e. GCF of 1100,2806 is 2 .

LCM of Denominators means LCM of 14,441 as per the given fractions.

LCM of 14,441 is 882 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1100,2806

GCF of Fractions 1100/14,2806/441 is 2/882

2 1100, 2806
550, 1403

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

Greatest Common Factor of 1100,2806 By Matching Biggest Common Factor Method

Greatest Common Factor of 1100,2806 By Matching Biggest Common Factor Method

Factors of 1100

List of positive integer factors of 1100 that divides 1100 without a remainder.

1,2,4,5,10,11,20,22,25,44,50,55,100,110,220,275,550,1100

Factors of 2806

List of positive integer factors of 2806 that divides 2806 without a remainder.

1,2,23,46,61,122,1403,2806

Greatest Common Factor

We found the factors 1100,2806 . The biggest common factor number is the GCF number.
So the greatest common factor 1100,2806 is 2.

Lets's calculate LCM of 14,441

7 14, 441
2, 63

∴ So the LCM of the given numbers is 7 x 2 x 63 = 882

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/882

Therefore, the GCF of Fractions 1100/14,2806/441 is 2/882

Least Common Multiple of 14,441 with GCF Formula

Least Common Multiple of 14,441 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 14,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,441) = 7

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

GCF(14,441) x common factors =7 x 1 = 7

LCM(14,441) = ( 14 × 441 ) / 7

LCM(14,441) = 6174 / 7

LCM(14,441) = 882


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 1100/14, 2806/441

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 1100/14, 2806/441?

Answer: GCF of Numerators as per given numbers 1100/14, 2806/441 is

GCF of Numerators i.e. for 1100,2806 is 2

LCM of denominators i.e. for 14,441 is 882.

Thus, GCF of Fractions is 2/882.Finally, GCF of Fractions for 1100/14, 2806/441 is 2/882.