Greatest Common Factor of 8337/745, 7608/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8337/745, 7608/701

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 8337/745,7608/701

Given fractions are 8337/745,7608/701

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 8337,7608

Greatest Common Factor of Numerators i.e. GCF of 8337,7608 is 3 .

LCM of Denominators means LCM of 745,701 as per the given fractions.

LCM of 745,701 is 522245 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8337,7608

GCF of Fractions 8337/745,7608/701 is 3/522245

3 8337, 7608
2779, 2536

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8337,7608 By Matching Biggest Common Factor Method

Greatest Common Factor of 8337,7608 By Matching Biggest Common Factor Method

Factors of 8337

List of positive integer factors of 8337 that divides 8337 without a remainder.

1,3,7,21,397,1191,2779,8337

Factors of 7608

List of positive integer factors of 7608 that divides 7608 without a remainder.

1,2,3,4,6,8,12,24,317,634,951,1268,1902,2536,3804,7608

Greatest Common Factor

We found the factors 8337,7608 . The biggest common factor number is the GCF number.
So the greatest common factor 8337,7608 is 3.

Lets's calculate LCM of 745,701

Given numbers has no common factors except 1. So, there LCM is their product i.e 522245

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/522245

Therefore, the GCF of Fractions 8337/745,7608/701 is 3/522245

Least Common Multiple of 745,701 with GCF Formula

Least Common Multiple of 745,701 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 745,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,701) = 1

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

GCF(745,701) x common factors =1 x 1 = 1

LCM(745,701) = ( 745 × 701 ) / 1

LCM(745,701) = 522245 / 1

LCM(745,701) = 522245


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 8337/745, 7608/701

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 8337/745, 7608/701?

Answer: GCF of Numerators as per given numbers 8337/745, 7608/701 is

GCF of Numerators i.e. for 8337,7608 is 3

LCM of denominators i.e. for 745,701 is 522245.

Thus, GCF of Fractions is 3/522245.Finally, GCF of Fractions for 8337/745, 7608/701 is 3/522245.