Greatest Common Factor of 9265/106, 8273/7884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9265/106, 8273/7884

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 9265/106,8273/7884

Given fractions are 9265/106,8273/7884

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 9265,8273

Greatest Common Factor of Numerators i.e. GCF of 9265,8273 is 1 .

LCM of Denominators means LCM of 106,7884 as per the given fractions.

LCM of 106,7884 is 417852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9265,8273

GCF of Fractions 9265/106,8273/7884 is 1/417852

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

Greatest Common Factor of 9265,8273 By Matching Biggest Common Factor Method

Greatest Common Factor of 9265,8273 By Matching Biggest Common Factor Method

Factors of 9265

List of positive integer factors of 9265 that divides 9265 without a remainder.

1,5,17,85,109,545,1853,9265

Factors of 8273

List of positive integer factors of 8273 that divides 8273 without a remainder.

1,8273

Greatest Common Factor

We found the factors 9265,8273 . The biggest common factor number is the GCF number.
So the greatest common factor 9265,8273 is 1.

Lets's calculate LCM of 106,7884

2 106, 7884
53, 3942

∴ So the LCM of the given numbers is 2 x 53 x 3942 = 417852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/417852

Therefore, the GCF of Fractions 9265/106,8273/7884 is 1/417852

Least Common Multiple of 106,7884 with GCF Formula

Least Common Multiple of 106,7884 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 106,7884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,7884) = 2

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

GCF(106,7884) x common factors =2 x 1 = 2

LCM(106,7884) = ( 106 × 7884 ) / 2

LCM(106,7884) = 835704 / 2

LCM(106,7884) = 417852


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 9265/106, 8273/7884

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 9265/106, 8273/7884?

Answer: GCF of Numerators as per given numbers 9265/106, 8273/7884 is

GCF of Numerators i.e. for 9265,8273 is 1

LCM of denominators i.e. for 106,7884 is 417852.

Thus, GCF of Fractions is 1/417852.Finally, GCF of Fractions for 9265/106, 8273/7884 is 1/417852.