Greatest Common Factor of 110/3383, 100/1494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 110/3383, 100/1494

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 110/3383,100/1494

Given fractions are 110/3383,100/1494

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 110,100

Greatest Common Factor of Numerators i.e. GCF of 110,100 is 10 .

LCM of Denominators means LCM of 3383,1494 as per the given fractions.

LCM of 3383,1494 is 5054202 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 110,100

GCF of Fractions 110/3383,100/1494 is 10/5054202

2 110, 100
5 55, 50
11, 10

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 110,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,100 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 110,100 . The biggest common factor number is the GCF number.
So the greatest common factor 110,100 is 10.

Lets's calculate LCM of 3383,1494

Given numbers has no common factors except 1. So, there LCM is their product i.e 5054202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/5054202

Therefore, the GCF of Fractions 110/3383,100/1494 is 10/5054202

Least Common Multiple of 3383,1494 with GCF Formula

Least Common Multiple of 3383,1494 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 3383,1494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3383,1494) = 1

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

GCF(3383,1494) x common factors =1 x 1 = 1

LCM(3383,1494) = ( 3383 × 1494 ) / 1

LCM(3383,1494) = 5054202 / 1

LCM(3383,1494) = 5054202


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 110/3383, 100/1494

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 110/3383, 100/1494?

Answer: GCF of Numerators as per given numbers 110/3383, 100/1494 is

GCF of Numerators i.e. for 110,100 is 10

LCM of denominators i.e. for 3383,1494 is 5054202.

Thus, GCF of Fractions is 10/5054202.Finally, GCF of Fractions for 110/3383, 100/1494 is 10/5054202.