Greatest Common Factor of 1731/375, 1450/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1731/375, 1450/309

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 1731/375,1450/309

Given fractions are 1731/375,1450/309

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 1731,1450

Greatest Common Factor of Numerators i.e. GCF of 1731,1450 is 1 .

LCM of Denominators means LCM of 375,309 as per the given fractions.

LCM of 375,309 is 38625 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1731,1450

GCF of Fractions 1731/375,1450/309 is 1/38625

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

Greatest Common Factor of 1731,1450 By Matching Biggest Common Factor Method

Greatest Common Factor of 1731,1450 By Matching Biggest Common Factor Method

Factors of 1731

List of positive integer factors of 1731 that divides 1731 without a remainder.

1,3,577,1731

Factors of 1450

List of positive integer factors of 1450 that divides 1450 without a remainder.

1,2,5,10,25,29,50,58,145,290,725,1450

Greatest Common Factor

We found the factors 1731,1450 . The biggest common factor number is the GCF number.
So the greatest common factor 1731,1450 is 1.

Lets's calculate LCM of 375,309

3 375, 309
125, 103

∴ So the LCM of the given numbers is 3 x 125 x 103 = 38625

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38625

Therefore, the GCF of Fractions 1731/375,1450/309 is 1/38625

Least Common Multiple of 375,309 with GCF Formula

Least Common Multiple of 375,309 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 375,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,309) = 3

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

GCF(375,309) x common factors =3 x 1 = 3

LCM(375,309) = ( 375 × 309 ) / 3

LCM(375,309) = 115875 / 3

LCM(375,309) = 38625


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 1731/375, 1450/309

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 1731/375, 1450/309?

Answer: GCF of Numerators as per given numbers 1731/375, 1450/309 is

GCF of Numerators i.e. for 1731,1450 is 1

LCM of denominators i.e. for 375,309 is 38625.

Thus, GCF of Fractions is 1/38625.Finally, GCF of Fractions for 1731/375, 1450/309 is 1/38625.