Greatest Common Factor of 9791/969, 3152/4050

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9791/969, 3152/4050

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 9791/969,3152/4050

Given fractions are 9791/969,3152/4050

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 9791,3152

Greatest Common Factor of Numerators i.e. GCF of 9791,3152 is 1 .

LCM of Denominators means LCM of 969,4050 as per the given fractions.

LCM of 969,4050 is 1308150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9791,3152

GCF of Fractions 9791/969,3152/4050 is 1/1308150

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

Greatest Common Factor of 9791,3152 By Matching Biggest Common Factor Method

Greatest Common Factor of 9791,3152 By Matching Biggest Common Factor Method

Factors of 9791

List of positive integer factors of 9791 that divides 9791 without a remainder.

1,9791

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

Greatest Common Factor

We found the factors 9791,3152 . The biggest common factor number is the GCF number.
So the greatest common factor 9791,3152 is 1.

Lets's calculate LCM of 969,4050

3 969, 4050
323, 1350

∴ So the LCM of the given numbers is 3 x 323 x 1350 = 1308150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1308150

Therefore, the GCF of Fractions 9791/969,3152/4050 is 1/1308150

Least Common Multiple of 969,4050 with GCF Formula

Least Common Multiple of 969,4050 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 969,4050 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,4050) = 3

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

GCF(969,4050) x common factors =3 x 1 = 3

LCM(969,4050) = ( 969 × 4050 ) / 3

LCM(969,4050) = 3924450 / 3

LCM(969,4050) = 1308150


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 9791/969, 3152/4050

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 9791/969, 3152/4050?

Answer: GCF of Numerators as per given numbers 9791/969, 3152/4050 is

GCF of Numerators i.e. for 9791,3152 is 1

LCM of denominators i.e. for 969,4050 is 1308150.

Thus, GCF of Fractions is 1/1308150.Finally, GCF of Fractions for 9791/969, 3152/4050 is 1/1308150.