Greatest Common Factor of 7438/393, 6050/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7438/393, 6050/741

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 7438/393,6050/741

Given fractions are 7438/393,6050/741

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 7438,6050

Greatest Common Factor of Numerators i.e. GCF of 7438,6050 is 2 .

LCM of Denominators means LCM of 393,741 as per the given fractions.

LCM of 393,741 is 97071 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7438,6050

GCF of Fractions 7438/393,6050/741 is 2/97071

2 7438, 6050
3719, 3025

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

Greatest Common Factor of 7438,6050 By Matching Biggest Common Factor Method

Greatest Common Factor of 7438,6050 By Matching Biggest Common Factor Method

Factors of 7438

List of positive integer factors of 7438 that divides 7438 without a remainder.

1,2,3719,7438

Factors of 6050

List of positive integer factors of 6050 that divides 6050 without a remainder.

1,2,5,10,11,22,25,50,55,110,121,242,275,550,605,1210,3025,6050

Greatest Common Factor

We found the factors 7438,6050 . The biggest common factor number is the GCF number.
So the greatest common factor 7438,6050 is 2.

Lets's calculate LCM of 393,741

3 393, 741
131, 247

∴ So the LCM of the given numbers is 3 x 131 x 247 = 97071

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/97071

Therefore, the GCF of Fractions 7438/393,6050/741 is 2/97071

Least Common Multiple of 393,741 with GCF Formula

Least Common Multiple of 393,741 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 393,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(393,741) = 3

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

GCF(393,741) x common factors =3 x 1 = 3

LCM(393,741) = ( 393 × 741 ) / 3

LCM(393,741) = 291213 / 3

LCM(393,741) = 97071


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 7438/393, 6050/741

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 7438/393, 6050/741?

Answer: GCF of Numerators as per given numbers 7438/393, 6050/741 is

GCF of Numerators i.e. for 7438,6050 is 2

LCM of denominators i.e. for 393,741 is 97071.

Thus, GCF of Fractions is 2/97071.Finally, GCF of Fractions for 7438/393, 6050/741 is 2/97071.