Greatest Common Factor of 7466/723, 7363/5575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7466/723, 7363/5575

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 7466/723,7363/5575

Given fractions are 7466/723,7363/5575

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 7466,7363

Greatest Common Factor of Numerators i.e. GCF of 7466,7363 is 1 .

LCM of Denominators means LCM of 723,5575 as per the given fractions.

LCM of 723,5575 is 4030725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7466,7363

GCF of Fractions 7466/723,7363/5575 is 1/4030725

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

Greatest Common Factor of 7466,7363 By Matching Biggest Common Factor Method

Greatest Common Factor of 7466,7363 By Matching Biggest Common Factor Method

Factors of 7466

List of positive integer factors of 7466 that divides 7466 without a remainder.

1,2,3733,7466

Factors of 7363

List of positive integer factors of 7363 that divides 7363 without a remainder.

1,37,199,7363

Greatest Common Factor

We found the factors 7466,7363 . The biggest common factor number is the GCF number.
So the greatest common factor 7466,7363 is 1.

Lets's calculate LCM of 723,5575

Given numbers has no common factors except 1. So, there LCM is their product i.e 4030725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4030725

Therefore, the GCF of Fractions 7466/723,7363/5575 is 1/4030725

Least Common Multiple of 723,5575 with GCF Formula

Least Common Multiple of 723,5575 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 723,5575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,5575) = 1

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

GCF(723,5575) x common factors =1 x 1 = 1

LCM(723,5575) = ( 723 × 5575 ) / 1

LCM(723,5575) = 4030725 / 1

LCM(723,5575) = 4030725


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 7466/723, 7363/5575

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 7466/723, 7363/5575?

Answer: GCF of Numerators as per given numbers 7466/723, 7363/5575 is

GCF of Numerators i.e. for 7466,7363 is 1

LCM of denominators i.e. for 723,5575 is 4030725.

Thus, GCF of Fractions is 1/4030725.Finally, GCF of Fractions for 7466/723, 7363/5575 is 1/4030725.