Greatest Common Factor of 7125/346, 8416/7230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7125/346, 8416/7230

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 7125/346,8416/7230

Given fractions are 7125/346,8416/7230

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 7125,8416

Greatest Common Factor of Numerators i.e. GCF of 7125,8416 is 1 .

LCM of Denominators means LCM of 346,7230 as per the given fractions.

LCM of 346,7230 is 1250790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7125,8416

GCF of Fractions 7125/346,8416/7230 is 1/1250790

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

Greatest Common Factor of 7125,8416 By Matching Biggest Common Factor Method

Greatest Common Factor of 7125,8416 By Matching Biggest Common Factor Method

Factors of 7125

List of positive integer factors of 7125 that divides 7125 without a remainder.

1,3,5,15,19,25,57,75,95,125,285,375,475,1425,2375,7125

Factors of 8416

List of positive integer factors of 8416 that divides 8416 without a remainder.

1,2,4,8,16,32,263,526,1052,2104,4208,8416

Greatest Common Factor

We found the factors 7125,8416 . The biggest common factor number is the GCF number.
So the greatest common factor 7125,8416 is 1.

Lets's calculate LCM of 346,7230

2 346, 7230
173, 3615

∴ So the LCM of the given numbers is 2 x 173 x 3615 = 1250790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1250790

Therefore, the GCF of Fractions 7125/346,8416/7230 is 1/1250790

Least Common Multiple of 346,7230 with GCF Formula

Least Common Multiple of 346,7230 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 346,7230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(346,7230) = 2

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

GCF(346,7230) x common factors =2 x 1 = 2

LCM(346,7230) = ( 346 × 7230 ) / 2

LCM(346,7230) = 2501580 / 2

LCM(346,7230) = 1250790


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 7125/346, 8416/7230

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 7125/346, 8416/7230?

Answer: GCF of Numerators as per given numbers 7125/346, 8416/7230 is

GCF of Numerators i.e. for 7125,8416 is 1

LCM of denominators i.e. for 346,7230 is 1250790.

Thus, GCF of Fractions is 1/1250790.Finally, GCF of Fractions for 7125/346, 8416/7230 is 1/1250790.