Greatest Common Factor of 3288/86, 8280/841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3288/86, 8280/841

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 3288/86,8280/841

Given fractions are 3288/86,8280/841

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 3288,8280

Greatest Common Factor of Numerators i.e. GCF of 3288,8280 is 24 .

LCM of Denominators means LCM of 86,841 as per the given fractions.

LCM of 86,841 is 72326 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3288,8280

GCF of Fractions 3288/86,8280/841 is 24/72326

2 3288, 8280
2 1644, 4140
2 822, 2070
3 411, 1035
137, 345

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 3288,8280 By Matching Biggest Common Factor Method

Greatest Common Factor of 3288,8280 By Matching Biggest Common Factor Method

Factors of 3288

List of positive integer factors of 3288 that divides 3288 without a remainder.

1,2,3,4,6,8,12,24,137,274,411,548,822,1096,1644,3288

Factors of 8280

List of positive integer factors of 8280 that divides 8280 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,23,24,30,36,40,45,46,60,69,72,90,92,115,120,138,180,184,207,230,276,345,360,414,460,552,690,828,920,1035,1380,1656,2070,2760,4140,8280

Greatest Common Factor

We found the factors 3288,8280 . The biggest common factor number is the GCF number.
So the greatest common factor 3288,8280 is 24.

Lets's calculate LCM of 86,841

Given numbers has no common factors except 1. So, there LCM is their product i.e 72326

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/72326

Therefore, the GCF of Fractions 3288/86,8280/841 is 24/72326

Least Common Multiple of 86,841 with GCF Formula

Least Common Multiple of 86,841 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 86,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,841) = 1

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

GCF(86,841) x common factors =1 x 1 = 1

LCM(86,841) = ( 86 × 841 ) / 1

LCM(86,841) = 72326 / 1

LCM(86,841) = 72326


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 3288/86, 8280/841

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 3288/86, 8280/841?

Answer: GCF of Numerators as per given numbers 3288/86, 8280/841 is

GCF of Numerators i.e. for 3288,8280 is 24

LCM of denominators i.e. for 86,841 is 72326.

Thus, GCF of Fractions is 24/72326.Finally, GCF of Fractions for 3288/86, 8280/841 is 24/72326.