Greatest Common Factor of 8182/314, 6090/5605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8182/314, 6090/5605

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 8182/314,6090/5605

Given fractions are 8182/314,6090/5605

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 8182,6090

Greatest Common Factor of Numerators i.e. GCF of 8182,6090 is 2 .

LCM of Denominators means LCM of 314,5605 as per the given fractions.

LCM of 314,5605 is 1759970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8182,6090

GCF of Fractions 8182/314,6090/5605 is 2/1759970

2 8182, 6090
4091, 3045

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8182,6090 By Matching Biggest Common Factor Method

Greatest Common Factor of 8182,6090 By Matching Biggest Common Factor Method

Factors of 8182

List of positive integer factors of 8182 that divides 8182 without a remainder.

1,2,4091,8182

Factors of 6090

List of positive integer factors of 6090 that divides 6090 without a remainder.

1,2,3,5,6,7,10,14,15,21,29,30,35,42,58,70,87,105,145,174,203,210,290,406,435,609,870,1015,1218,2030,3045,6090

Greatest Common Factor

We found the factors 8182,6090 . The biggest common factor number is the GCF number.
So the greatest common factor 8182,6090 is 2.

Lets's calculate LCM of 314,5605

Given numbers has no common factors except 1. So, there LCM is their product i.e 1759970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1759970

Therefore, the GCF of Fractions 8182/314,6090/5605 is 2/1759970

Least Common Multiple of 314,5605 with GCF Formula

Least Common Multiple of 314,5605 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 314,5605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,5605) = 1

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

GCF(314,5605) x common factors =1 x 1 = 1

LCM(314,5605) = ( 314 × 5605 ) / 1

LCM(314,5605) = 1759970 / 1

LCM(314,5605) = 1759970


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 8182/314, 6090/5605

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 8182/314, 6090/5605?

Answer: GCF of Numerators as per given numbers 8182/314, 6090/5605 is

GCF of Numerators i.e. for 8182,6090 is 2

LCM of denominators i.e. for 314,5605 is 1759970.

Thus, GCF of Fractions is 2/1759970.Finally, GCF of Fractions for 8182/314, 6090/5605 is 2/1759970.