Greatest Common Factor of 1545/794, 7590/6270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1545/794, 7590/6270

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 1545/794,7590/6270

Given fractions are 1545/794,7590/6270

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 1545,7590

Greatest Common Factor of Numerators i.e. GCF of 1545,7590 is 15 .

LCM of Denominators means LCM of 794,6270 as per the given fractions.

LCM of 794,6270 is 2489190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1545,7590

GCF of Fractions 1545/794,7590/6270 is 15/2489190

3 1545, 7590
5 515, 2530
103, 506

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

Greatest Common Factor of 1545,7590 By Matching Biggest Common Factor Method

Greatest Common Factor of 1545,7590 By Matching Biggest Common Factor Method

Factors of 1545

List of positive integer factors of 1545 that divides 1545 without a remainder.

1,3,5,15,103,309,515,1545

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

Greatest Common Factor

We found the factors 1545,7590 . The biggest common factor number is the GCF number.
So the greatest common factor 1545,7590 is 15.

Lets's calculate LCM of 794,6270

2 794, 6270
397, 3135

∴ So the LCM of the given numbers is 2 x 397 x 3135 = 2489190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/2489190

Therefore, the GCF of Fractions 1545/794,7590/6270 is 15/2489190

Least Common Multiple of 794,6270 with GCF Formula

Least Common Multiple of 794,6270 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 794,6270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,6270) = 2

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

GCF(794,6270) x common factors =2 x 1 = 2

LCM(794,6270) = ( 794 × 6270 ) / 2

LCM(794,6270) = 4978380 / 2

LCM(794,6270) = 2489190


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 1545/794, 7590/6270

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 1545/794, 7590/6270?

Answer: GCF of Numerators as per given numbers 1545/794, 7590/6270 is

GCF of Numerators i.e. for 1545,7590 is 15

LCM of denominators i.e. for 794,6270 is 2489190.

Thus, GCF of Fractions is 15/2489190.Finally, GCF of Fractions for 1545/794, 7590/6270 is 15/2489190.