Greatest Common Factor of 3217/448, 4289/8442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3217/448, 4289/8442

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 3217/448,4289/8442

Given fractions are 3217/448,4289/8442

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 3217,4289

Greatest Common Factor of Numerators i.e. GCF of 3217,4289 is 1 .

LCM of Denominators means LCM of 448,8442 as per the given fractions.

LCM of 448,8442 is 270144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3217,4289

GCF of Fractions 3217/448,4289/8442 is 1/270144

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3217,4289 By Matching Biggest Common Factor Method

Greatest Common Factor of 3217,4289 By Matching Biggest Common Factor Method

Factors of 3217

List of positive integer factors of 3217 that divides 3217 without a remainder.

1,3217

Factors of 4289

List of positive integer factors of 4289 that divides 4289 without a remainder.

1,4289

Greatest Common Factor

We found the factors 3217,4289 . The biggest common factor number is the GCF number.
So the greatest common factor 3217,4289 is 1.

Lets's calculate LCM of 448,8442

2 448, 8442
7 224, 4221
32, 603

∴ So the LCM of the given numbers is 2 x 7 x 32 x 603 = 270144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/270144

Therefore, the GCF of Fractions 3217/448,4289/8442 is 1/270144

Least Common Multiple of 448,8442 with GCF Formula

Least Common Multiple of 448,8442 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 448,8442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,8442) = 14

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

GCF(448,8442) x common factors =14 x 1 = 14

LCM(448,8442) = ( 448 × 8442 ) / 14

LCM(448,8442) = 3782016 / 14

LCM(448,8442) = 270144


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 3217/448, 4289/8442

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 3217/448, 4289/8442?

Answer: GCF of Numerators as per given numbers 3217/448, 4289/8442 is

GCF of Numerators i.e. for 3217,4289 is 1

LCM of denominators i.e. for 448,8442 is 270144.

Thus, GCF of Fractions is 1/270144.Finally, GCF of Fractions for 3217/448, 4289/8442 is 1/270144.