Greatest Common Factor of 8190/18, 5110/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8190/18, 5110/836

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 8190/18,5110/836

Given fractions are 8190/18,5110/836

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 8190,5110

Greatest Common Factor of Numerators i.e. GCF of 8190,5110 is 70 .

LCM of Denominators means LCM of 18,836 as per the given fractions.

LCM of 18,836 is 7524 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8190,5110

GCF of Fractions 8190/18,5110/836 is 70/7524

2 8190, 5110
5 4095, 2555
7 819, 511
117, 73

∴ So the GCF of the given numbers is 2 x 5 x 7 = 70

Greatest Common Factor of 8190,5110 By Matching Biggest Common Factor Method

Greatest Common Factor of 8190,5110 By Matching Biggest Common Factor Method

Factors of 8190

List of positive integer factors of 8190 that divides 8190 without a remainder.

1,2,3,5,6,7,9,10,13,14,15,18,21,26,30,35,39,42,45,63,65,70,78,90,91,105,117,126,130,182,195,210,234,273,315,390,455,546,585,630,819,910,1170,1365,1638,2730,4095,8190

Factors of 5110

List of positive integer factors of 5110 that divides 5110 without a remainder.

1,2,5,7,10,14,35,70,73,146,365,511,730,1022,2555,5110

Greatest Common Factor

We found the factors 8190,5110 . The biggest common factor number is the GCF number.
So the greatest common factor 8190,5110 is 70.

Lets's calculate LCM of 18,836

2 18, 836
9, 418

∴ So the LCM of the given numbers is 2 x 9 x 418 = 7524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 70/7524

Therefore, the GCF of Fractions 8190/18,5110/836 is 70/7524

Least Common Multiple of 18,836 with GCF Formula

Least Common Multiple of 18,836 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 18,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,836) = 2

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

GCF(18,836) x common factors =2 x 1 = 2

LCM(18,836) = ( 18 × 836 ) / 2

LCM(18,836) = 15048 / 2

LCM(18,836) = 7524


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 8190/18, 5110/836

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 8190/18, 5110/836?

Answer: GCF of Numerators as per given numbers 8190/18, 5110/836 is

GCF of Numerators i.e. for 8190,5110 is 70

LCM of denominators i.e. for 18,836 is 7524.

Thus, GCF of Fractions is 70/7524.Finally, GCF of Fractions for 8190/18, 5110/836 is 70/7524.