Greatest Common Factor of 7065/932, 7831/9772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7065/932, 7831/9772

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 7065/932,7831/9772

Given fractions are 7065/932,7831/9772

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 7065,7831

Greatest Common Factor of Numerators i.e. GCF of 7065,7831 is 1 .

LCM of Denominators means LCM of 932,9772 as per the given fractions.

LCM of 932,9772 is 2276876 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7065,7831

GCF of Fractions 7065/932,7831/9772 is 1/2276876

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

Greatest Common Factor of 7065,7831 By Matching Biggest Common Factor Method

Greatest Common Factor of 7065,7831 By Matching Biggest Common Factor Method

Factors of 7065

List of positive integer factors of 7065 that divides 7065 without a remainder.

1,3,5,9,15,45,157,471,785,1413,2355,7065

Factors of 7831

List of positive integer factors of 7831 that divides 7831 without a remainder.

1,41,191,7831

Greatest Common Factor

We found the factors 7065,7831 . The biggest common factor number is the GCF number.
So the greatest common factor 7065,7831 is 1.

Lets's calculate LCM of 932,9772

2 932, 9772
2 466, 4886
233, 2443

∴ So the LCM of the given numbers is 2 x 2 x 233 x 2443 = 2276876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2276876

Therefore, the GCF of Fractions 7065/932,7831/9772 is 1/2276876

Least Common Multiple of 932,9772 with GCF Formula

Least Common Multiple of 932,9772 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 932,9772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,9772) = 4

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

GCF(932,9772) x common factors =4 x 1 = 4

LCM(932,9772) = ( 932 × 9772 ) / 4

LCM(932,9772) = 9107504 / 4

LCM(932,9772) = 2276876


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 7065/932, 7831/9772

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 7065/932, 7831/9772?

Answer: GCF of Numerators as per given numbers 7065/932, 7831/9772 is

GCF of Numerators i.e. for 7065,7831 is 1

LCM of denominators i.e. for 932,9772 is 2276876.

Thus, GCF of Fractions is 1/2276876.Finally, GCF of Fractions for 7065/932, 7831/9772 is 1/2276876.