Greatest Common Factor of 4484/68, 2261/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4484/68, 2261/224

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 4484/68,2261/224

Given fractions are 4484/68,2261/224

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 4484,2261

Greatest Common Factor of Numerators i.e. GCF of 4484,2261 is 19 .

LCM of Denominators means LCM of 68,224 as per the given fractions.

LCM of 68,224 is 3808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4484,2261

GCF of Fractions 4484/68,2261/224 is 19/3808

19 4484, 2261
236, 119

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 4484,2261 By Matching Biggest Common Factor Method

Greatest Common Factor of 4484,2261 By Matching Biggest Common Factor Method

Factors of 4484

List of positive integer factors of 4484 that divides 4484 without a remainder.

1,2,4,19,38,59,76,118,236,1121,2242,4484

Factors of 2261

List of positive integer factors of 2261 that divides 2261 without a remainder.

1,7,17,19,119,133,323,2261

Greatest Common Factor

We found the factors 4484,2261 . The biggest common factor number is the GCF number.
So the greatest common factor 4484,2261 is 19.

Lets's calculate LCM of 68,224

2 68, 224
2 34, 112
17, 56

∴ So the LCM of the given numbers is 2 x 2 x 17 x 56 = 3808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/3808

Therefore, the GCF of Fractions 4484/68,2261/224 is 19/3808

Least Common Multiple of 68,224 with GCF Formula

Least Common Multiple of 68,224 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 68,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,224) = 4

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

GCF(68,224) x common factors =4 x 1 = 4

LCM(68,224) = ( 68 × 224 ) / 4

LCM(68,224) = 15232 / 4

LCM(68,224) = 3808


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 4484/68, 2261/224

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 4484/68, 2261/224?

Answer: GCF of Numerators as per given numbers 4484/68, 2261/224 is

GCF of Numerators i.e. for 4484,2261 is 19

LCM of denominators i.e. for 68,224 is 3808.

Thus, GCF of Fractions is 19/3808.Finally, GCF of Fractions for 4484/68, 2261/224 is 19/3808.