Greatest Common Factor of 14/658, 56/732, 458/433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/658, 56/732, 458/433

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 14/658,56/732,458/433

Given fractions are 14/658,56/732,458/433

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 14,56,458

Greatest Common Factor of Numerators i.e. GCF of 14,56,458 is 2 .

LCM of Denominators means LCM of 658,732,433 as per the given fractions.

LCM of 658,732,433 is 104278524 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,56,458

GCF of Fractions 14/658,56/732,458/433 is 2/104278524

2 14, 56, 458
7, 28, 229

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 14,56,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,56,458 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 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 14,56,458 . The biggest common factor number is the GCF number.
So the greatest common factor 14,56,458 is 2.

Lets's calculate LCM of 658,732,433

2 658, 732, 433
329, 366, 433

∴ So the LCM of the given numbers is 2 x 329 x 366 x 433 = 104278524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/104278524

Therefore, the GCF of Fractions 14/658,56/732,458/433 is 2/104278524

Least Common Multiple of 658,732,433 with GCF Formula

Least Common Multiple of 658,732,433 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 658,732,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,732,433) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(658,732,433) x common factors =1 x 2 = 2

LCM(658,732,433) = ( 658 × 732 × 433 ) / 2

LCM(658,732,433) = 208557048 / 2

LCM(658,732,433) = 104278524


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 14/658, 56/732, 458/433

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 14/658, 56/732, 458/433?

Answer: GCF of Numerators as per given numbers 14/658, 56/732, 458/433 is

GCF of Numerators i.e. for 14,56,458 is 2

LCM of denominators i.e. for 658,732,433 is 104278524.

Thus, GCF of Fractions is 2/104278524.Finally, GCF of Fractions for 14/658, 56/732, 458/433 is 2/104278524.