Greatest Common Factor of 3169/269, 7436/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3169/269, 7436/860

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 3169/269,7436/860

Given fractions are 3169/269,7436/860

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 3169,7436

Greatest Common Factor of Numerators i.e. GCF of 3169,7436 is 1 .

LCM of Denominators means LCM of 269,860 as per the given fractions.

LCM of 269,860 is 231340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3169,7436

GCF of Fractions 3169/269,7436/860 is 1/231340

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3169,7436 By Matching Biggest Common Factor Method

Greatest Common Factor of 3169,7436 By Matching Biggest Common Factor Method

Factors of 3169

List of positive integer factors of 3169 that divides 3169 without a remainder.

1,3169

Factors of 7436

List of positive integer factors of 7436 that divides 7436 without a remainder.

1,2,4,11,13,22,26,44,52,143,169,286,338,572,676,1859,3718,7436

Greatest Common Factor

We found the factors 3169,7436 . The biggest common factor number is the GCF number.
So the greatest common factor 3169,7436 is 1.

Lets's calculate LCM of 269,860

Given numbers has no common factors except 1. So, there LCM is their product i.e 231340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/231340

Therefore, the GCF of Fractions 3169/269,7436/860 is 1/231340

Least Common Multiple of 269,860 with GCF Formula

Least Common Multiple of 269,860 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 269,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(269,860) = 1

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

GCF(269,860) x common factors =1 x 1 = 1

LCM(269,860) = ( 269 × 860 ) / 1

LCM(269,860) = 231340 / 1

LCM(269,860) = 231340


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 3169/269, 7436/860

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 3169/269, 7436/860?

Answer: GCF of Numerators as per given numbers 3169/269, 7436/860 is

GCF of Numerators i.e. for 3169,7436 is 1

LCM of denominators i.e. for 269,860 is 231340.

Thus, GCF of Fractions is 1/231340.Finally, GCF of Fractions for 3169/269, 7436/860 is 1/231340.