Greatest Common Factor of 4485/96, 8219/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4485/96, 8219/275

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 4485/96,8219/275

Given fractions are 4485/96,8219/275

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 4485,8219

Greatest Common Factor of Numerators i.e. GCF of 4485,8219 is 1 .

LCM of Denominators means LCM of 96,275 as per the given fractions.

LCM of 96,275 is 26400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4485,8219

GCF of Fractions 4485/96,8219/275 is 1/26400

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

Greatest Common Factor of 4485,8219 By Matching Biggest Common Factor Method

Greatest Common Factor of 4485,8219 By Matching Biggest Common Factor Method

Factors of 4485

List of positive integer factors of 4485 that divides 4485 without a remainder.

1,3,5,13,15,23,39,65,69,115,195,299,345,897,1495,4485

Factors of 8219

List of positive integer factors of 8219 that divides 8219 without a remainder.

1,8219

Greatest Common Factor

We found the factors 4485,8219 . The biggest common factor number is the GCF number.
So the greatest common factor 4485,8219 is 1.

Lets's calculate LCM of 96,275

Given numbers has no common factors except 1. So, there LCM is their product i.e 26400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26400

Therefore, the GCF of Fractions 4485/96,8219/275 is 1/26400

Least Common Multiple of 96,275 with GCF Formula

Least Common Multiple of 96,275 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 96,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,275) = 1

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

GCF(96,275) x common factors =1 x 1 = 1

LCM(96,275) = ( 96 × 275 ) / 1

LCM(96,275) = 26400 / 1

LCM(96,275) = 26400


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 4485/96, 8219/275

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 4485/96, 8219/275?

Answer: GCF of Numerators as per given numbers 4485/96, 8219/275 is

GCF of Numerators i.e. for 4485,8219 is 1

LCM of denominators i.e. for 96,275 is 26400.

Thus, GCF of Fractions is 1/26400.Finally, GCF of Fractions for 4485/96, 8219/275 is 1/26400.