Greatest Common Factor of 245/222, 100/448, 110/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 245/222, 100/448, 110/775

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 245/222,100/448,110/775

Given fractions are 245/222,100/448,110/775

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 245,100,110

Greatest Common Factor of Numerators i.e. GCF of 245,100,110 is 5 .

LCM of Denominators means LCM of 222,448,775 as per the given fractions.

LCM of 222,448,775 is 38539200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 245,100,110

GCF of Fractions 245/222,100/448,110/775 is 5/38539200

5 245, 100, 110
49, 20, 22

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 245,100,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,100,110 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

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

Factors of 110

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

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

Greatest Common Factor

We found the factors 245,100,110 . The biggest common factor number is the GCF number.
So the greatest common factor 245,100,110 is 5.

Lets's calculate LCM of 222,448,775

2 222, 448, 775
111, 224, 775

∴ So the LCM of the given numbers is 2 x 111 x 224 x 775 = 38539200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/38539200

Therefore, the GCF of Fractions 245/222,100/448,110/775 is 5/38539200

Least Common Multiple of 222,448,775 with GCF Formula

Least Common Multiple of 222,448,775 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 222,448,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,448,775) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(222,448,775) x common factors =1 x 2 = 2

LCM(222,448,775) = ( 222 × 448 × 775 ) / 2

LCM(222,448,775) = 77078400 / 2

LCM(222,448,775) = 38539200


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 245/222, 100/448, 110/775

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 245/222, 100/448, 110/775?

Answer: GCF of Numerators as per given numbers 245/222, 100/448, 110/775 is

GCF of Numerators i.e. for 245,100,110 is 5

LCM of denominators i.e. for 222,448,775 is 38539200.

Thus, GCF of Fractions is 5/38539200.Finally, GCF of Fractions for 245/222, 100/448, 110/775 is 5/38539200.