Greatest Common Factor of 14/260, 418/410, 169/601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/260, 418/410, 169/601

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 14/260,418/410,169/601

Given fractions are 14/260,418/410,169/601

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 14,418,169

Greatest Common Factor of Numerators i.e. GCF of 14,418,169 is 1 .

LCM of Denominators means LCM of 260,410,601 as per the given fractions.

LCM of 260,410,601 is 6406660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,418,169

GCF of Fractions 14/260,418/410,169/601 is 1/6406660

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

Greatest Common Factor of 14,418,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,418,169 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 14,418,169 . The biggest common factor number is the GCF number.
So the greatest common factor 14,418,169 is 1.

Lets's calculate LCM of 260,410,601

2 260, 410, 601
5 130, 205, 601
26, 41, 601

∴ So the LCM of the given numbers is 2 x 5 x 26 x 41 x 601 = 6406660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6406660

Therefore, the GCF of Fractions 14/260,418/410,169/601 is 1/6406660

Least Common Multiple of 260,410,601 with GCF Formula

Least Common Multiple of 260,410,601 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 260,410,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,410,601) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(260,410,601) x common factors =1 x 10 = 10

LCM(260,410,601) = ( 260 × 410 × 601 ) / 10

LCM(260,410,601) = 64066600 / 10

LCM(260,410,601) = 6406660


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 14/260, 418/410, 169/601

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 14/260, 418/410, 169/601?

Answer: GCF of Numerators as per given numbers 14/260, 418/410, 169/601 is

GCF of Numerators i.e. for 14,418,169 is 1

LCM of denominators i.e. for 260,410,601 is 6406660.

Thus, GCF of Fractions is 1/6406660.Finally, GCF of Fractions for 14/260, 418/410, 169/601 is 1/6406660.