Greatest Common Factor of 7558/255, 7233/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7558/255, 7233/688

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 7558/255,7233/688

Given fractions are 7558/255,7233/688

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 7558,7233

Greatest Common Factor of Numerators i.e. GCF of 7558,7233 is 1 .

LCM of Denominators means LCM of 255,688 as per the given fractions.

LCM of 255,688 is 175440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7558,7233

GCF of Fractions 7558/255,7233/688 is 1/175440

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

Greatest Common Factor of 7558,7233 By Matching Biggest Common Factor Method

Greatest Common Factor of 7558,7233 By Matching Biggest Common Factor Method

Factors of 7558

List of positive integer factors of 7558 that divides 7558 without a remainder.

1,2,3779,7558

Factors of 7233

List of positive integer factors of 7233 that divides 7233 without a remainder.

1,3,2411,7233

Greatest Common Factor

We found the factors 7558,7233 . The biggest common factor number is the GCF number.
So the greatest common factor 7558,7233 is 1.

Lets's calculate LCM of 255,688

Given numbers has no common factors except 1. So, there LCM is their product i.e 175440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175440

Therefore, the GCF of Fractions 7558/255,7233/688 is 1/175440

Least Common Multiple of 255,688 with GCF Formula

Least Common Multiple of 255,688 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 255,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(255,688) = 1

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

GCF(255,688) x common factors =1 x 1 = 1

LCM(255,688) = ( 255 × 688 ) / 1

LCM(255,688) = 175440 / 1

LCM(255,688) = 175440


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 7558/255, 7233/688

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 7558/255, 7233/688?

Answer: GCF of Numerators as per given numbers 7558/255, 7233/688 is

GCF of Numerators i.e. for 7558,7233 is 1

LCM of denominators i.e. for 255,688 is 175440.

Thus, GCF of Fractions is 1/175440.Finally, GCF of Fractions for 7558/255, 7233/688 is 1/175440.