Greatest Common Factor of 9792/272, 2075/3751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9792/272, 2075/3751

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 9792/272,2075/3751

Given fractions are 9792/272,2075/3751

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 9792,2075

Greatest Common Factor of Numerators i.e. GCF of 9792,2075 is 1 .

LCM of Denominators means LCM of 272,3751 as per the given fractions.

LCM of 272,3751 is 1020272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9792,2075

GCF of Fractions 9792/272,2075/3751 is 1/1020272

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

Greatest Common Factor of 9792,2075 By Matching Biggest Common Factor Method

Greatest Common Factor of 9792,2075 By Matching Biggest Common Factor Method

Factors of 9792

List of positive integer factors of 9792 that divides 9792 without a remainder.

1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,64,68,72,96,102,136,144,153,192,204,272,288,306,408,544,576,612,816,1088,1224,1632,2448,3264,4896,9792

Factors of 2075

List of positive integer factors of 2075 that divides 2075 without a remainder.

1,5,25,83,415,2075

Greatest Common Factor

We found the factors 9792,2075 . The biggest common factor number is the GCF number.
So the greatest common factor 9792,2075 is 1.

Lets's calculate LCM of 272,3751

Given numbers has no common factors except 1. So, there LCM is their product i.e 1020272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1020272

Therefore, the GCF of Fractions 9792/272,2075/3751 is 1/1020272

Least Common Multiple of 272,3751 with GCF Formula

Least Common Multiple of 272,3751 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 272,3751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,3751) = 1

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

GCF(272,3751) x common factors =1 x 1 = 1

LCM(272,3751) = ( 272 × 3751 ) / 1

LCM(272,3751) = 1020272 / 1

LCM(272,3751) = 1020272


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 9792/272, 2075/3751

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 9792/272, 2075/3751?

Answer: GCF of Numerators as per given numbers 9792/272, 2075/3751 is

GCF of Numerators i.e. for 9792,2075 is 1

LCM of denominators i.e. for 272,3751 is 1020272.

Thus, GCF of Fractions is 1/1020272.Finally, GCF of Fractions for 9792/272, 2075/3751 is 1/1020272.