Greatest Common Factor of 8899/300, 4545/7462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8899/300, 4545/7462

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 8899/300,4545/7462

Given fractions are 8899/300,4545/7462

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 8899,4545

Greatest Common Factor of Numerators i.e. GCF of 8899,4545 is 1 .

LCM of Denominators means LCM of 300,7462 as per the given fractions.

LCM of 300,7462 is 1119300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8899,4545

GCF of Fractions 8899/300,4545/7462 is 1/1119300

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

Greatest Common Factor of 8899,4545 By Matching Biggest Common Factor Method

Greatest Common Factor of 8899,4545 By Matching Biggest Common Factor Method

Factors of 8899

List of positive integer factors of 8899 that divides 8899 without a remainder.

1,11,809,8899

Factors of 4545

List of positive integer factors of 4545 that divides 4545 without a remainder.

1,3,5,9,15,45,101,303,505,909,1515,4545

Greatest Common Factor

We found the factors 8899,4545 . The biggest common factor number is the GCF number.
So the greatest common factor 8899,4545 is 1.

Lets's calculate LCM of 300,7462

2 300, 7462
150, 3731

∴ So the LCM of the given numbers is 2 x 150 x 3731 = 1119300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1119300

Therefore, the GCF of Fractions 8899/300,4545/7462 is 1/1119300

Least Common Multiple of 300,7462 with GCF Formula

Least Common Multiple of 300,7462 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 300,7462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,7462) = 2

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

GCF(300,7462) x common factors =2 x 1 = 2

LCM(300,7462) = ( 300 × 7462 ) / 2

LCM(300,7462) = 2238600 / 2

LCM(300,7462) = 1119300


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 8899/300, 4545/7462

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 8899/300, 4545/7462?

Answer: GCF of Numerators as per given numbers 8899/300, 4545/7462 is

GCF of Numerators i.e. for 8899,4545 is 1

LCM of denominators i.e. for 300,7462 is 1119300.

Thus, GCF of Fractions is 1/1119300.Finally, GCF of Fractions for 8899/300, 4545/7462 is 1/1119300.