Greatest Common Factor of 753/69, 171/4230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 753/69, 171/4230

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 753/69,171/4230

Given fractions are 753/69,171/4230

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 753,171

Greatest Common Factor of Numerators i.e. GCF of 753,171 is 3 .

LCM of Denominators means LCM of 69,4230 as per the given fractions.

LCM of 69,4230 is 97290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 753,171

GCF of Fractions 753/69,171/4230 is 3/97290

3 753, 171
251, 57

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

Greatest Common Factor of 753,171 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,171 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Greatest Common Factor

We found the factors 753,171 . The biggest common factor number is the GCF number.
So the greatest common factor 753,171 is 3.

Lets's calculate LCM of 69,4230

3 69, 4230
23, 1410

∴ So the LCM of the given numbers is 3 x 23 x 1410 = 97290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/97290

Therefore, the GCF of Fractions 753/69,171/4230 is 3/97290

Least Common Multiple of 69,4230 with GCF Formula

Least Common Multiple of 69,4230 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 69,4230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,4230) = 3

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

GCF(69,4230) x common factors =3 x 1 = 3

LCM(69,4230) = ( 69 × 4230 ) / 3

LCM(69,4230) = 291870 / 3

LCM(69,4230) = 97290


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 753/69, 171/4230

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 753/69, 171/4230?

Answer: GCF of Numerators as per given numbers 753/69, 171/4230 is

GCF of Numerators i.e. for 753,171 is 3

LCM of denominators i.e. for 69,4230 is 97290.

Thus, GCF of Fractions is 3/97290.Finally, GCF of Fractions for 753/69, 171/4230 is 3/97290.