Greatest Common Factor of 7170/608, 7359/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7170/608, 7359/745

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 7170/608,7359/745

Given fractions are 7170/608,7359/745

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 7170,7359

Greatest Common Factor of Numerators i.e. GCF of 7170,7359 is 3 .

LCM of Denominators means LCM of 608,745 as per the given fractions.

LCM of 608,745 is 452960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7170,7359

GCF of Fractions 7170/608,7359/745 is 3/452960

3 7170, 7359
2390, 2453

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

Greatest Common Factor of 7170,7359 By Matching Biggest Common Factor Method

Greatest Common Factor of 7170,7359 By Matching Biggest Common Factor Method

Factors of 7170

List of positive integer factors of 7170 that divides 7170 without a remainder.

1,2,3,5,6,10,15,30,239,478,717,1195,1434,2390,3585,7170

Factors of 7359

List of positive integer factors of 7359 that divides 7359 without a remainder.

1,3,11,33,223,669,2453,7359

Greatest Common Factor

We found the factors 7170,7359 . The biggest common factor number is the GCF number.
So the greatest common factor 7170,7359 is 3.

Lets's calculate LCM of 608,745

Given numbers has no common factors except 1. So, there LCM is their product i.e 452960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/452960

Therefore, the GCF of Fractions 7170/608,7359/745 is 3/452960

Least Common Multiple of 608,745 with GCF Formula

Least Common Multiple of 608,745 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 608,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,745) = 1

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

GCF(608,745) x common factors =1 x 1 = 1

LCM(608,745) = ( 608 × 745 ) / 1

LCM(608,745) = 452960 / 1

LCM(608,745) = 452960


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 7170/608, 7359/745

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 7170/608, 7359/745?

Answer: GCF of Numerators as per given numbers 7170/608, 7359/745 is

GCF of Numerators i.e. for 7170,7359 is 3

LCM of denominators i.e. for 608,745 is 452960.

Thus, GCF of Fractions is 3/452960.Finally, GCF of Fractions for 7170/608, 7359/745 is 3/452960.