Greatest Common Factor of 7051/723, 7058/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7051/723, 7058/792

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 7051/723,7058/792

Given fractions are 7051/723,7058/792

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 7051,7058

Greatest Common Factor of Numerators i.e. GCF of 7051,7058 is 1 .

LCM of Denominators means LCM of 723,792 as per the given fractions.

LCM of 723,792 is 190872 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7051,7058

GCF of Fractions 7051/723,7058/792 is 1/190872

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

Greatest Common Factor of 7051,7058 By Matching Biggest Common Factor Method

Greatest Common Factor of 7051,7058 By Matching Biggest Common Factor Method

Factors of 7051

List of positive integer factors of 7051 that divides 7051 without a remainder.

1,11,641,7051

Factors of 7058

List of positive integer factors of 7058 that divides 7058 without a remainder.

1,2,3529,7058

Greatest Common Factor

We found the factors 7051,7058 . The biggest common factor number is the GCF number.
So the greatest common factor 7051,7058 is 1.

Lets's calculate LCM of 723,792

3 723, 792
241, 264

∴ So the LCM of the given numbers is 3 x 241 x 264 = 190872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190872

Therefore, the GCF of Fractions 7051/723,7058/792 is 1/190872

Least Common Multiple of 723,792 with GCF Formula

Least Common Multiple of 723,792 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 723,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,792) = 3

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

GCF(723,792) x common factors =3 x 1 = 3

LCM(723,792) = ( 723 × 792 ) / 3

LCM(723,792) = 572616 / 3

LCM(723,792) = 190872


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 7051/723, 7058/792

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 7051/723, 7058/792?

Answer: GCF of Numerators as per given numbers 7051/723, 7058/792 is

GCF of Numerators i.e. for 7051,7058 is 1

LCM of denominators i.e. for 723,792 is 190872.

Thus, GCF of Fractions is 1/190872.Finally, GCF of Fractions for 7051/723, 7058/792 is 1/190872.