Greatest Common Factor of 4744/808, 9454/7045

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4744/808, 9454/7045

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 4744/808,9454/7045

Given fractions are 4744/808,9454/7045

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 4744,9454

Greatest Common Factor of Numerators i.e. GCF of 4744,9454 is 2 .

LCM of Denominators means LCM of 808,7045 as per the given fractions.

LCM of 808,7045 is 5692360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4744,9454

GCF of Fractions 4744/808,9454/7045 is 2/5692360

2 4744, 9454
2372, 4727

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

Greatest Common Factor of 4744,9454 By Matching Biggest Common Factor Method

Greatest Common Factor of 4744,9454 By Matching Biggest Common Factor Method

Factors of 4744

List of positive integer factors of 4744 that divides 4744 without a remainder.

1,2,4,8,593,1186,2372,4744

Factors of 9454

List of positive integer factors of 9454 that divides 9454 without a remainder.

1,2,29,58,163,326,4727,9454

Greatest Common Factor

We found the factors 4744,9454 . The biggest common factor number is the GCF number.
So the greatest common factor 4744,9454 is 2.

Lets's calculate LCM of 808,7045

Given numbers has no common factors except 1. So, there LCM is their product i.e 5692360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5692360

Therefore, the GCF of Fractions 4744/808,9454/7045 is 2/5692360

Least Common Multiple of 808,7045 with GCF Formula

Least Common Multiple of 808,7045 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 808,7045 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,7045) = 1

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

GCF(808,7045) x common factors =1 x 1 = 1

LCM(808,7045) = ( 808 × 7045 ) / 1

LCM(808,7045) = 5692360 / 1

LCM(808,7045) = 5692360


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 4744/808, 9454/7045

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 4744/808, 9454/7045?

Answer: GCF of Numerators as per given numbers 4744/808, 9454/7045 is

GCF of Numerators i.e. for 4744,9454 is 2

LCM of denominators i.e. for 808,7045 is 5692360.

Thus, GCF of Fractions is 2/5692360.Finally, GCF of Fractions for 4744/808, 9454/7045 is 2/5692360.