Greatest Common Factor of 7280/83, 3630/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7280/83, 3630/230

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 7280/83,3630/230

Given fractions are 7280/83,3630/230

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 7280,3630

Greatest Common Factor of Numerators i.e. GCF of 7280,3630 is 10 .

LCM of Denominators means LCM of 83,230 as per the given fractions.

LCM of 83,230 is 19090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7280,3630

GCF of Fractions 7280/83,3630/230 is 10/19090

2 7280, 3630
5 3640, 1815
728, 363

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

Greatest Common Factor of 7280,3630 By Matching Biggest Common Factor Method

Greatest Common Factor of 7280,3630 By Matching Biggest Common Factor Method

Factors of 7280

List of positive integer factors of 7280 that divides 7280 without a remainder.

1,2,4,5,7,8,10,13,14,16,20,26,28,35,40,52,56,65,70,80,91,104,112,130,140,182,208,260,280,364,455,520,560,728,910,1040,1456,1820,3640,7280

Factors of 3630

List of positive integer factors of 3630 that divides 3630 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,121,165,242,330,363,605,726,1210,1815,3630

Greatest Common Factor

We found the factors 7280,3630 . The biggest common factor number is the GCF number.
So the greatest common factor 7280,3630 is 10.

Lets's calculate LCM of 83,230

Given numbers has no common factors except 1. So, there LCM is their product i.e 19090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/19090

Therefore, the GCF of Fractions 7280/83,3630/230 is 10/19090

Least Common Multiple of 83,230 with GCF Formula

Least Common Multiple of 83,230 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 83,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,230) = 1

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

GCF(83,230) x common factors =1 x 1 = 1

LCM(83,230) = ( 83 × 230 ) / 1

LCM(83,230) = 19090 / 1

LCM(83,230) = 19090


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 7280/83, 3630/230

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 7280/83, 3630/230?

Answer: GCF of Numerators as per given numbers 7280/83, 3630/230 is

GCF of Numerators i.e. for 7280,3630 is 10

LCM of denominators i.e. for 83,230 is 19090.

Thus, GCF of Fractions is 10/19090.Finally, GCF of Fractions for 7280/83, 3630/230 is 10/19090.