Greatest Common Factor of 6683/712, 3280/2145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6683/712, 3280/2145

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 6683/712,3280/2145

Given fractions are 6683/712,3280/2145

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 6683,3280

Greatest Common Factor of Numerators i.e. GCF of 6683,3280 is 41 .

LCM of Denominators means LCM of 712,2145 as per the given fractions.

LCM of 712,2145 is 1527240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6683,3280

GCF of Fractions 6683/712,3280/2145 is 41/1527240

41 6683, 3280
163, 80

∴ So the GCF of the given numbers is 41 = 41

Greatest Common Factor of 6683,3280 By Matching Biggest Common Factor Method

Greatest Common Factor of 6683,3280 By Matching Biggest Common Factor Method

Factors of 6683

List of positive integer factors of 6683 that divides 6683 without a remainder.

1,41,163,6683

Factors of 3280

List of positive integer factors of 3280 that divides 3280 without a remainder.

1,2,4,5,8,10,16,20,40,41,80,82,164,205,328,410,656,820,1640,3280

Greatest Common Factor

We found the factors 6683,3280 . The biggest common factor number is the GCF number.
So the greatest common factor 6683,3280 is 41.

Lets's calculate LCM of 712,2145

Given numbers has no common factors except 1. So, there LCM is their product i.e 1527240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/1527240

Therefore, the GCF of Fractions 6683/712,3280/2145 is 41/1527240

Least Common Multiple of 712,2145 with GCF Formula

Least Common Multiple of 712,2145 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 712,2145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,2145) = 1

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

GCF(712,2145) x common factors =1 x 1 = 1

LCM(712,2145) = ( 712 × 2145 ) / 1

LCM(712,2145) = 1527240 / 1

LCM(712,2145) = 1527240


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 6683/712, 3280/2145

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 6683/712, 3280/2145?

Answer: GCF of Numerators as per given numbers 6683/712, 3280/2145 is

GCF of Numerators i.e. for 6683,3280 is 41

LCM of denominators i.e. for 712,2145 is 1527240.

Thus, GCF of Fractions is 41/1527240.Finally, GCF of Fractions for 6683/712, 3280/2145 is 41/1527240.