Greatest Common Factor of 7590/19, 7455/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7590/19, 7455/714

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 7590/19,7455/714

Given fractions are 7590/19,7455/714

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 7590,7455

Greatest Common Factor of Numerators i.e. GCF of 7590,7455 is 15 .

LCM of Denominators means LCM of 19,714 as per the given fractions.

LCM of 19,714 is 13566 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7590,7455

GCF of Fractions 7590/19,7455/714 is 15/13566

3 7590, 7455
5 2530, 2485
506, 497

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 7590,7455 By Matching Biggest Common Factor Method

Greatest Common Factor of 7590,7455 By Matching Biggest Common Factor Method

Factors of 7590

List of positive integer factors of 7590 that divides 7590 without a remainder.

1,2,3,5,6,10,11,15,22,23,30,33,46,55,66,69,110,115,138,165,230,253,330,345,506,690,759,1265,1518,2530,3795,7590

Factors of 7455

List of positive integer factors of 7455 that divides 7455 without a remainder.

1,3,5,7,15,21,35,71,105,213,355,497,1065,1491,2485,7455

Greatest Common Factor

We found the factors 7590,7455 . The biggest common factor number is the GCF number.
So the greatest common factor 7590,7455 is 15.

Lets's calculate LCM of 19,714

Given numbers has no common factors except 1. So, there LCM is their product i.e 13566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/13566

Therefore, the GCF of Fractions 7590/19,7455/714 is 15/13566

Least Common Multiple of 19,714 with GCF Formula

Least Common Multiple of 19,714 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 19,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,714) = 1

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

GCF(19,714) x common factors =1 x 1 = 1

LCM(19,714) = ( 19 × 714 ) / 1

LCM(19,714) = 13566 / 1

LCM(19,714) = 13566


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 7590/19, 7455/714

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 7590/19, 7455/714?

Answer: GCF of Numerators as per given numbers 7590/19, 7455/714 is

GCF of Numerators i.e. for 7590,7455 is 15

LCM of denominators i.e. for 19,714 is 13566.

Thus, GCF of Fractions is 15/13566.Finally, GCF of Fractions for 7590/19, 7455/714 is 15/13566.