Greatest Common Factor of 380/723, 7270/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 380/723, 7270/828

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 380/723,7270/828

Given fractions are 380/723,7270/828

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 380,7270

Greatest Common Factor of Numerators i.e. GCF of 380,7270 is 10 .

LCM of Denominators means LCM of 723,828 as per the given fractions.

LCM of 723,828 is 199548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 380,7270

GCF of Fractions 380/723,7270/828 is 10/199548

2 380, 7270
5 190, 3635
38, 727

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 380,7270 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,7270 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 7270

List of positive integer factors of 7270 that divides 7270 without a remainder.

1,2,5,10,727,1454,3635,7270

Greatest Common Factor

We found the factors 380,7270 . The biggest common factor number is the GCF number.
So the greatest common factor 380,7270 is 10.

Lets's calculate LCM of 723,828

3 723, 828
241, 276

∴ So the LCM of the given numbers is 3 x 241 x 276 = 199548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/199548

Therefore, the GCF of Fractions 380/723,7270/828 is 10/199548

Least Common Multiple of 723,828 with GCF Formula

Least Common Multiple of 723,828 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 723,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,828) = 3

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

GCF(723,828) x common factors =3 x 1 = 3

LCM(723,828) = ( 723 × 828 ) / 3

LCM(723,828) = 598644 / 3

LCM(723,828) = 199548


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 380/723, 7270/828

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 380/723, 7270/828?

Answer: GCF of Numerators as per given numbers 380/723, 7270/828 is

GCF of Numerators i.e. for 380,7270 is 10

LCM of denominators i.e. for 723,828 is 199548.

Thus, GCF of Fractions is 10/199548.Finally, GCF of Fractions for 380/723, 7270/828 is 10/199548.