Greatest Common Factor of 6150/234, 6343/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6150/234, 6343/407

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 6150/234,6343/407

Given fractions are 6150/234,6343/407

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 6150,6343

Greatest Common Factor of Numerators i.e. GCF of 6150,6343 is 1 .

LCM of Denominators means LCM of 234,407 as per the given fractions.

LCM of 234,407 is 95238 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6150,6343

GCF of Fractions 6150/234,6343/407 is 1/95238

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

Greatest Common Factor of 6150,6343 By Matching Biggest Common Factor Method

Greatest Common Factor of 6150,6343 By Matching Biggest Common Factor Method

Factors of 6150

List of positive integer factors of 6150 that divides 6150 without a remainder.

1,2,3,5,6,10,15,25,30,41,50,75,82,123,150,205,246,410,615,1025,1230,2050,3075,6150

Factors of 6343

List of positive integer factors of 6343 that divides 6343 without a remainder.

1,6343

Greatest Common Factor

We found the factors 6150,6343 . The biggest common factor number is the GCF number.
So the greatest common factor 6150,6343 is 1.

Lets's calculate LCM of 234,407

Given numbers has no common factors except 1. So, there LCM is their product i.e 95238

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95238

Therefore, the GCF of Fractions 6150/234,6343/407 is 1/95238

Least Common Multiple of 234,407 with GCF Formula

Least Common Multiple of 234,407 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 234,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,407) = 1

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

GCF(234,407) x common factors =1 x 1 = 1

LCM(234,407) = ( 234 × 407 ) / 1

LCM(234,407) = 95238 / 1

LCM(234,407) = 95238


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 6150/234, 6343/407

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 6150/234, 6343/407?

Answer: GCF of Numerators as per given numbers 6150/234, 6343/407 is

GCF of Numerators i.e. for 6150,6343 is 1

LCM of denominators i.e. for 234,407 is 95238.

Thus, GCF of Fractions is 1/95238.Finally, GCF of Fractions for 6150/234, 6343/407 is 1/95238.