Greatest Common Factor of 7346/900, 8123/8906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7346/900, 8123/8906

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 7346/900,8123/8906

Given fractions are 7346/900,8123/8906

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 7346,8123

Greatest Common Factor of Numerators i.e. GCF of 7346,8123 is 1 .

LCM of Denominators means LCM of 900,8906 as per the given fractions.

LCM of 900,8906 is 4007700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7346,8123

GCF of Fractions 7346/900,8123/8906 is 1/4007700

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

Greatest Common Factor of 7346,8123 By Matching Biggest Common Factor Method

Greatest Common Factor of 7346,8123 By Matching Biggest Common Factor Method

Factors of 7346

List of positive integer factors of 7346 that divides 7346 without a remainder.

1,2,3673,7346

Factors of 8123

List of positive integer factors of 8123 that divides 8123 without a remainder.

1,8123

Greatest Common Factor

We found the factors 7346,8123 . The biggest common factor number is the GCF number.
So the greatest common factor 7346,8123 is 1.

Lets's calculate LCM of 900,8906

2 900, 8906
450, 4453

∴ So the LCM of the given numbers is 2 x 450 x 4453 = 4007700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4007700

Therefore, the GCF of Fractions 7346/900,8123/8906 is 1/4007700

Least Common Multiple of 900,8906 with GCF Formula

Least Common Multiple of 900,8906 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 900,8906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,8906) = 2

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

GCF(900,8906) x common factors =2 x 1 = 2

LCM(900,8906) = ( 900 × 8906 ) / 2

LCM(900,8906) = 8015400 / 2

LCM(900,8906) = 4007700


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 7346/900, 8123/8906

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 7346/900, 8123/8906?

Answer: GCF of Numerators as per given numbers 7346/900, 8123/8906 is

GCF of Numerators i.e. for 7346,8123 is 1

LCM of denominators i.e. for 900,8906 is 4007700.

Thus, GCF of Fractions is 1/4007700.Finally, GCF of Fractions for 7346/900, 8123/8906 is 1/4007700.