Greatest Common Factor of 6045/526, 2002/3470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6045/526, 2002/3470

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 6045/526,2002/3470

Given fractions are 6045/526,2002/3470

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 6045,2002

Greatest Common Factor of Numerators i.e. GCF of 6045,2002 is 13 .

LCM of Denominators means LCM of 526,3470 as per the given fractions.

LCM of 526,3470 is 912610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6045,2002

GCF of Fractions 6045/526,2002/3470 is 13/912610

13 6045, 2002
465, 154

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 6045,2002 By Matching Biggest Common Factor Method

Greatest Common Factor of 6045,2002 By Matching Biggest Common Factor Method

Factors of 6045

List of positive integer factors of 6045 that divides 6045 without a remainder.

1,3,5,13,15,31,39,65,93,155,195,403,465,1209,2015,6045

Factors of 2002

List of positive integer factors of 2002 that divides 2002 without a remainder.

1,2,7,11,13,14,22,26,77,91,143,154,182,286,1001,2002

Greatest Common Factor

We found the factors 6045,2002 . The biggest common factor number is the GCF number.
So the greatest common factor 6045,2002 is 13.

Lets's calculate LCM of 526,3470

2 526, 3470
263, 1735

∴ So the LCM of the given numbers is 2 x 263 x 1735 = 912610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/912610

Therefore, the GCF of Fractions 6045/526,2002/3470 is 13/912610

Least Common Multiple of 526,3470 with GCF Formula

Least Common Multiple of 526,3470 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 526,3470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,3470) = 2

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

GCF(526,3470) x common factors =2 x 1 = 2

LCM(526,3470) = ( 526 × 3470 ) / 2

LCM(526,3470) = 1825220 / 2

LCM(526,3470) = 912610


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 6045/526, 2002/3470

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 6045/526, 2002/3470?

Answer: GCF of Numerators as per given numbers 6045/526, 2002/3470 is

GCF of Numerators i.e. for 6045,2002 is 13

LCM of denominators i.e. for 526,3470 is 912610.

Thus, GCF of Fractions is 13/912610.Finally, GCF of Fractions for 6045/526, 2002/3470 is 13/912610.