Greatest Common Factor of 8280/369, 4890/4110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8280/369, 4890/4110

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 8280/369,4890/4110

Given fractions are 8280/369,4890/4110

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 8280,4890

Greatest Common Factor of Numerators i.e. GCF of 8280,4890 is 30 .

LCM of Denominators means LCM of 369,4110 as per the given fractions.

LCM of 369,4110 is 505530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8280,4890

GCF of Fractions 8280/369,4890/4110 is 30/505530

2 8280, 4890
3 4140, 2445
5 1380, 815
276, 163

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Greatest Common Factor of 8280,4890 By Matching Biggest Common Factor Method

Greatest Common Factor of 8280,4890 By Matching Biggest Common Factor Method

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

Factors of 4890

List of positive integer factors of 4890 that divides 4890 without a remainder.

1,2,3,5,6,10,15,30,163,326,489,815,978,1630,2445,4890

Greatest Common Factor

We found the factors 8280,4890 . The biggest common factor number is the GCF number.
So the greatest common factor 8280,4890 is 30.

Lets's calculate LCM of 369,4110

3 369, 4110
123, 1370

∴ So the LCM of the given numbers is 3 x 123 x 1370 = 505530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/505530

Therefore, the GCF of Fractions 8280/369,4890/4110 is 30/505530

Least Common Multiple of 369,4110 with GCF Formula

Least Common Multiple of 369,4110 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 369,4110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,4110) = 3

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

GCF(369,4110) x common factors =3 x 1 = 3

LCM(369,4110) = ( 369 × 4110 ) / 3

LCM(369,4110) = 1516590 / 3

LCM(369,4110) = 505530


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 8280/369, 4890/4110

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 8280/369, 4890/4110?

Answer: GCF of Numerators as per given numbers 8280/369, 4890/4110 is

GCF of Numerators i.e. for 8280,4890 is 30

LCM of denominators i.e. for 369,4110 is 505530.

Thus, GCF of Fractions is 30/505530.Finally, GCF of Fractions for 8280/369, 4890/4110 is 30/505530.