Greatest Common Factor of 407/49, 724/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 407/49, 724/394

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 407/49,724/394

Given fractions are 407/49,724/394

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 407,724

Greatest Common Factor of Numerators i.e. GCF of 407,724 is 1 .

LCM of Denominators means LCM of 49,394 as per the given fractions.

LCM of 49,394 is 19306 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 407,724

GCF of Fractions 407/49,724/394 is 1/19306

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

Greatest Common Factor of 407,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,724 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 407,724 . The biggest common factor number is the GCF number.
So the greatest common factor 407,724 is 1.

Lets's calculate LCM of 49,394

Given numbers has no common factors except 1. So, there LCM is their product i.e 19306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19306

Therefore, the GCF of Fractions 407/49,724/394 is 1/19306

Least Common Multiple of 49,394 with GCF Formula

Least Common Multiple of 49,394 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 49,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,394) = 1

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

GCF(49,394) x common factors =1 x 1 = 1

LCM(49,394) = ( 49 × 394 ) / 1

LCM(49,394) = 19306 / 1

LCM(49,394) = 19306


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 407/49, 724/394

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 407/49, 724/394?

Answer: GCF of Numerators as per given numbers 407/49, 724/394 is

GCF of Numerators i.e. for 407,724 is 1

LCM of denominators i.e. for 49,394 is 19306.

Thus, GCF of Fractions is 1/19306.Finally, GCF of Fractions for 407/49, 724/394 is 1/19306.