Greatest Common Factor of 733/75, 8010/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 733/75, 8010/409

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 733/75,8010/409

Given fractions are 733/75,8010/409

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 733,8010

Greatest Common Factor of Numerators i.e. GCF of 733,8010 is 1 .

LCM of Denominators means LCM of 75,409 as per the given fractions.

LCM of 75,409 is 30675 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 733,8010

GCF of Fractions 733/75,8010/409 is 1/30675

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

Greatest Common Factor of 733,8010 By Matching Biggest Common Factor Method

Greatest Common Factor of 733,8010 By Matching Biggest Common Factor Method

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 8010

List of positive integer factors of 8010 that divides 8010 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,89,90,178,267,445,534,801,890,1335,1602,2670,4005,8010

Greatest Common Factor

We found the factors 733,8010 . The biggest common factor number is the GCF number.
So the greatest common factor 733,8010 is 1.

Lets's calculate LCM of 75,409

Given numbers has no common factors except 1. So, there LCM is their product i.e 30675

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30675

Therefore, the GCF of Fractions 733/75,8010/409 is 1/30675

Least Common Multiple of 75,409 with GCF Formula

Least Common Multiple of 75,409 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 75,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,409) = 1

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

GCF(75,409) x common factors =1 x 1 = 1

LCM(75,409) = ( 75 × 409 ) / 1

LCM(75,409) = 30675 / 1

LCM(75,409) = 30675


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 733/75, 8010/409

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 733/75, 8010/409?

Answer: GCF of Numerators as per given numbers 733/75, 8010/409 is

GCF of Numerators i.e. for 733,8010 is 1

LCM of denominators i.e. for 75,409 is 30675.

Thus, GCF of Fractions is 1/30675.Finally, GCF of Fractions for 733/75, 8010/409 is 1/30675.