Greatest Common Factor of 8332/205, 3223/5264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8332/205, 3223/5264

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 8332/205,3223/5264

Given fractions are 8332/205,3223/5264

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 8332,3223

Greatest Common Factor of Numerators i.e. GCF of 8332,3223 is 1 .

LCM of Denominators means LCM of 205,5264 as per the given fractions.

LCM of 205,5264 is 1079120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8332,3223

GCF of Fractions 8332/205,3223/5264 is 1/1079120

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

Greatest Common Factor of 8332,3223 By Matching Biggest Common Factor Method

Greatest Common Factor of 8332,3223 By Matching Biggest Common Factor Method

Factors of 8332

List of positive integer factors of 8332 that divides 8332 without a remainder.

1,2,4,2083,4166,8332

Factors of 3223

List of positive integer factors of 3223 that divides 3223 without a remainder.

1,11,293,3223

Greatest Common Factor

We found the factors 8332,3223 . The biggest common factor number is the GCF number.
So the greatest common factor 8332,3223 is 1.

Lets's calculate LCM of 205,5264

Given numbers has no common factors except 1. So, there LCM is their product i.e 1079120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1079120

Therefore, the GCF of Fractions 8332/205,3223/5264 is 1/1079120

Least Common Multiple of 205,5264 with GCF Formula

Least Common Multiple of 205,5264 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 205,5264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,5264) = 1

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

GCF(205,5264) x common factors =1 x 1 = 1

LCM(205,5264) = ( 205 × 5264 ) / 1

LCM(205,5264) = 1079120 / 1

LCM(205,5264) = 1079120


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 8332/205, 3223/5264

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 8332/205, 3223/5264?

Answer: GCF of Numerators as per given numbers 8332/205, 3223/5264 is

GCF of Numerators i.e. for 8332,3223 is 1

LCM of denominators i.e. for 205,5264 is 1079120.

Thus, GCF of Fractions is 1/1079120.Finally, GCF of Fractions for 8332/205, 3223/5264 is 1/1079120.