Greatest Common Factor of 3152/300, 9741/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3152/300, 9741/382

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 3152/300,9741/382

Given fractions are 3152/300,9741/382

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 3152,9741

Greatest Common Factor of Numerators i.e. GCF of 3152,9741 is 1 .

LCM of Denominators means LCM of 300,382 as per the given fractions.

LCM of 300,382 is 57300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3152,9741

GCF of Fractions 3152/300,9741/382 is 1/57300

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

Greatest Common Factor of 3152,9741 By Matching Biggest Common Factor Method

Greatest Common Factor of 3152,9741 By Matching Biggest Common Factor Method

Factors of 3152

List of positive integer factors of 3152 that divides 3152 without a remainder.

1,2,4,8,16,197,394,788,1576,3152

Factors of 9741

List of positive integer factors of 9741 that divides 9741 without a remainder.

1,3,17,51,191,573,3247,9741

Greatest Common Factor

We found the factors 3152,9741 . The biggest common factor number is the GCF number.
So the greatest common factor 3152,9741 is 1.

Lets's calculate LCM of 300,382

2 300, 382
150, 191

∴ So the LCM of the given numbers is 2 x 150 x 191 = 57300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57300

Therefore, the GCF of Fractions 3152/300,9741/382 is 1/57300

Least Common Multiple of 300,382 with GCF Formula

Least Common Multiple of 300,382 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 300,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,382) = 2

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

GCF(300,382) x common factors =2 x 1 = 2

LCM(300,382) = ( 300 × 382 ) / 2

LCM(300,382) = 114600 / 2

LCM(300,382) = 57300


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 3152/300, 9741/382

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 3152/300, 9741/382?

Answer: GCF of Numerators as per given numbers 3152/300, 9741/382 is

GCF of Numerators i.e. for 3152,9741 is 1

LCM of denominators i.e. for 300,382 is 57300.

Thus, GCF of Fractions is 1/57300.Finally, GCF of Fractions for 3152/300, 9741/382 is 1/57300.