Greatest Common Factor of 1100/248, 5482/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1100/248, 5482/242

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 1100/248,5482/242

Given fractions are 1100/248,5482/242

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 1100,5482

Greatest Common Factor of Numerators i.e. GCF of 1100,5482 is 2 .

LCM of Denominators means LCM of 248,242 as per the given fractions.

LCM of 248,242 is 30008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1100,5482

GCF of Fractions 1100/248,5482/242 is 2/30008

2 1100, 5482
550, 2741

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

Greatest Common Factor of 1100,5482 By Matching Biggest Common Factor Method

Greatest Common Factor of 1100,5482 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 5482

List of positive integer factors of 5482 that divides 5482 without a remainder.

1,2,2741,5482

Greatest Common Factor

We found the factors 1100,5482 . The biggest common factor number is the GCF number.
So the greatest common factor 1100,5482 is 2.

Lets's calculate LCM of 248,242

2 248, 242
124, 121

∴ So the LCM of the given numbers is 2 x 124 x 121 = 30008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30008

Therefore, the GCF of Fractions 1100/248,5482/242 is 2/30008

Least Common Multiple of 248,242 with GCF Formula

Least Common Multiple of 248,242 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 248,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,242) = 2

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

GCF(248,242) x common factors =2 x 1 = 2

LCM(248,242) = ( 248 × 242 ) / 2

LCM(248,242) = 60016 / 2

LCM(248,242) = 30008


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 1100/248, 5482/242

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 1100/248, 5482/242?

Answer: GCF of Numerators as per given numbers 1100/248, 5482/242 is

GCF of Numerators i.e. for 1100,5482 is 2

LCM of denominators i.e. for 248,242 is 30008.

Thus, GCF of Fractions is 2/30008.Finally, GCF of Fractions for 1100/248, 5482/242 is 2/30008.