Greatest Common Factor of 8280/16, 7390/439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8280/16, 7390/439

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 8280/16,7390/439

Given fractions are 8280/16,7390/439

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 8280,7390

Greatest Common Factor of Numerators i.e. GCF of 8280,7390 is 10 .

LCM of Denominators means LCM of 16,439 as per the given fractions.

LCM of 16,439 is 7024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8280,7390

GCF of Fractions 8280/16,7390/439 is 10/7024

2 8280, 7390
5 4140, 3695
828, 739

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 8280,7390 By Matching Biggest Common Factor Method

Greatest Common Factor of 8280,7390 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 7390

List of positive integer factors of 7390 that divides 7390 without a remainder.

1,2,5,10,739,1478,3695,7390

Greatest Common Factor

We found the factors 8280,7390 . The biggest common factor number is the GCF number.
So the greatest common factor 8280,7390 is 10.

Lets's calculate LCM of 16,439

Given numbers has no common factors except 1. So, there LCM is their product i.e 7024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/7024

Therefore, the GCF of Fractions 8280/16,7390/439 is 10/7024

Least Common Multiple of 16,439 with GCF Formula

Least Common Multiple of 16,439 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 16,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,439) = 1

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

GCF(16,439) x common factors =1 x 1 = 1

LCM(16,439) = ( 16 × 439 ) / 1

LCM(16,439) = 7024 / 1

LCM(16,439) = 7024


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 8280/16, 7390/439

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 8280/16, 7390/439?

Answer: GCF of Numerators as per given numbers 8280/16, 7390/439 is

GCF of Numerators i.e. for 8280,7390 is 10

LCM of denominators i.e. for 16,439 is 7024.

Thus, GCF of Fractions is 10/7024.Finally, GCF of Fractions for 8280/16, 7390/439 is 10/7024.