Greatest Common Factor of 7506/755, 3353/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7506/755, 3353/383

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 7506/755,3353/383

Given fractions are 7506/755,3353/383

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 7506,3353

Greatest Common Factor of Numerators i.e. GCF of 7506,3353 is 1 .

LCM of Denominators means LCM of 755,383 as per the given fractions.

LCM of 755,383 is 289165 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7506,3353

GCF of Fractions 7506/755,3353/383 is 1/289165

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

Greatest Common Factor of 7506,3353 By Matching Biggest Common Factor Method

Greatest Common Factor of 7506,3353 By Matching Biggest Common Factor Method

Factors of 7506

List of positive integer factors of 7506 that divides 7506 without a remainder.

1,2,3,6,9,18,27,54,139,278,417,834,1251,2502,3753,7506

Factors of 3353

List of positive integer factors of 3353 that divides 3353 without a remainder.

1,7,479,3353

Greatest Common Factor

We found the factors 7506,3353 . The biggest common factor number is the GCF number.
So the greatest common factor 7506,3353 is 1.

Lets's calculate LCM of 755,383

Given numbers has no common factors except 1. So, there LCM is their product i.e 289165

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/289165

Therefore, the GCF of Fractions 7506/755,3353/383 is 1/289165

Least Common Multiple of 755,383 with GCF Formula

Least Common Multiple of 755,383 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 755,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,383) = 1

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

GCF(755,383) x common factors =1 x 1 = 1

LCM(755,383) = ( 755 × 383 ) / 1

LCM(755,383) = 289165 / 1

LCM(755,383) = 289165


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 7506/755, 3353/383

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 7506/755, 3353/383?

Answer: GCF of Numerators as per given numbers 7506/755, 3353/383 is

GCF of Numerators i.e. for 7506,3353 is 1

LCM of denominators i.e. for 755,383 is 289165.

Thus, GCF of Fractions is 1/289165.Finally, GCF of Fractions for 7506/755, 3353/383 is 1/289165.