Greatest Common Factor of 7315/643, 2310/3535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7315/643, 2310/3535

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 7315/643,2310/3535

Given fractions are 7315/643,2310/3535

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 7315,2310

Greatest Common Factor of Numerators i.e. GCF of 7315,2310 is 385 .

LCM of Denominators means LCM of 643,3535 as per the given fractions.

LCM of 643,3535 is 2273005 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7315,2310

GCF of Fractions 7315/643,2310/3535 is 385/2273005

5 7315, 2310
7 1463, 462
11 209, 66
19, 6

∴ So the GCF of the given numbers is 5 x 7 x 11 = 385

Greatest Common Factor of 7315,2310 By Matching Biggest Common Factor Method

Greatest Common Factor of 7315,2310 By Matching Biggest Common Factor Method

Factors of 7315

List of positive integer factors of 7315 that divides 7315 without a remainder.

1,5,7,11,19,35,55,77,95,133,209,385,665,1045,1463,7315

Factors of 2310

List of positive integer factors of 2310 that divides 2310 without a remainder.

1,2,3,5,6,7,10,11,14,15,21,22,30,33,35,42,55,66,70,77,105,110,154,165,210,231,330,385,462,770,1155,2310

Greatest Common Factor

We found the factors 7315,2310 . The biggest common factor number is the GCF number.
So the greatest common factor 7315,2310 is 385.

Lets's calculate LCM of 643,3535

Given numbers has no common factors except 1. So, there LCM is their product i.e 2273005

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 385/2273005

Therefore, the GCF of Fractions 7315/643,2310/3535 is 385/2273005

Least Common Multiple of 643,3535 with GCF Formula

Least Common Multiple of 643,3535 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 643,3535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(643,3535) = 1

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

GCF(643,3535) x common factors =1 x 1 = 1

LCM(643,3535) = ( 643 × 3535 ) / 1

LCM(643,3535) = 2273005 / 1

LCM(643,3535) = 2273005


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 7315/643, 2310/3535

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 7315/643, 2310/3535?

Answer: GCF of Numerators as per given numbers 7315/643, 2310/3535 is

GCF of Numerators i.e. for 7315,2310 is 385

LCM of denominators i.e. for 643,3535 is 2273005.

Thus, GCF of Fractions is 385/2273005.Finally, GCF of Fractions for 7315/643, 2310/3535 is 385/2273005.