Greatest Common Factor of 1488/723, 9154/3845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1488/723, 9154/3845

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 1488/723,9154/3845

Given fractions are 1488/723,9154/3845

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 1488,9154

Greatest Common Factor of Numerators i.e. GCF of 1488,9154 is 2 .

LCM of Denominators means LCM of 723,3845 as per the given fractions.

LCM of 723,3845 is 2779935 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1488,9154

GCF of Fractions 1488/723,9154/3845 is 2/2779935

2 1488, 9154
744, 4577

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

Greatest Common Factor of 1488,9154 By Matching Biggest Common Factor Method

Greatest Common Factor of 1488,9154 By Matching Biggest Common Factor Method

Factors of 1488

List of positive integer factors of 1488 that divides 1488 without a remainder.

1,2,3,4,6,8,12,16,24,31,48,62,93,124,186,248,372,496,744,1488

Factors of 9154

List of positive integer factors of 9154 that divides 9154 without a remainder.

1,2,23,46,199,398,4577,9154

Greatest Common Factor

We found the factors 1488,9154 . The biggest common factor number is the GCF number.
So the greatest common factor 1488,9154 is 2.

Lets's calculate LCM of 723,3845

Given numbers has no common factors except 1. So, there LCM is their product i.e 2779935

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2779935

Therefore, the GCF of Fractions 1488/723,9154/3845 is 2/2779935

Least Common Multiple of 723,3845 with GCF Formula

Least Common Multiple of 723,3845 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 723,3845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,3845) = 1

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

GCF(723,3845) x common factors =1 x 1 = 1

LCM(723,3845) = ( 723 × 3845 ) / 1

LCM(723,3845) = 2779935 / 1

LCM(723,3845) = 2779935


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 1488/723, 9154/3845

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 1488/723, 9154/3845?

Answer: GCF of Numerators as per given numbers 1488/723, 9154/3845 is

GCF of Numerators i.e. for 1488,9154 is 2

LCM of denominators i.e. for 723,3845 is 2779935.

Thus, GCF of Fractions is 2/2779935.Finally, GCF of Fractions for 1488/723, 9154/3845 is 2/2779935.