Greatest Common Factor of 224/41, 476/6091

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 224/41, 476/6091

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 224/41,476/6091

Given fractions are 224/41,476/6091

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 224,476

Greatest Common Factor of Numerators i.e. GCF of 224,476 is 28 .

LCM of Denominators means LCM of 41,6091 as per the given fractions.

LCM of 41,6091 is 249731 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 224,476

GCF of Fractions 224/41,476/6091 is 28/249731

2 224, 476
2 112, 238
7 56, 119
8, 17

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 224,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,476 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 224,476 . The biggest common factor number is the GCF number.
So the greatest common factor 224,476 is 28.

Lets's calculate LCM of 41,6091

Given numbers has no common factors except 1. So, there LCM is their product i.e 249731

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/249731

Therefore, the GCF of Fractions 224/41,476/6091 is 28/249731

Least Common Multiple of 41,6091 with GCF Formula

Least Common Multiple of 41,6091 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 41,6091 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,6091) = 1

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

GCF(41,6091) x common factors =1 x 1 = 1

LCM(41,6091) = ( 41 × 6091 ) / 1

LCM(41,6091) = 249731 / 1

LCM(41,6091) = 249731


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 224/41, 476/6091

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 224/41, 476/6091?

Answer: GCF of Numerators as per given numbers 224/41, 476/6091 is

GCF of Numerators i.e. for 224,476 is 28

LCM of denominators i.e. for 41,6091 is 249731.

Thus, GCF of Fractions is 28/249731.Finally, GCF of Fractions for 224/41, 476/6091 is 28/249731.