Greatest Common Factor of 9466/827, 5510/5935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9466/827, 5510/5935

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 9466/827,5510/5935

Given fractions are 9466/827,5510/5935

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 9466,5510

Greatest Common Factor of Numerators i.e. GCF of 9466,5510 is 2 .

LCM of Denominators means LCM of 827,5935 as per the given fractions.

LCM of 827,5935 is 4908245 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9466,5510

GCF of Fractions 9466/827,5510/5935 is 2/4908245

2 9466, 5510
4733, 2755

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9466,5510 By Matching Biggest Common Factor Method

Greatest Common Factor of 9466,5510 By Matching Biggest Common Factor Method

Factors of 9466

List of positive integer factors of 9466 that divides 9466 without a remainder.

1,2,4733,9466

Factors of 5510

List of positive integer factors of 5510 that divides 5510 without a remainder.

1,2,5,10,19,29,38,58,95,145,190,290,551,1102,2755,5510

Greatest Common Factor

We found the factors 9466,5510 . The biggest common factor number is the GCF number.
So the greatest common factor 9466,5510 is 2.

Lets's calculate LCM of 827,5935

Given numbers has no common factors except 1. So, there LCM is their product i.e 4908245

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4908245

Therefore, the GCF of Fractions 9466/827,5510/5935 is 2/4908245

Least Common Multiple of 827,5935 with GCF Formula

Least Common Multiple of 827,5935 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 827,5935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,5935) = 1

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

GCF(827,5935) x common factors =1 x 1 = 1

LCM(827,5935) = ( 827 × 5935 ) / 1

LCM(827,5935) = 4908245 / 1

LCM(827,5935) = 4908245


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 9466/827, 5510/5935

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 9466/827, 5510/5935?

Answer: GCF of Numerators as per given numbers 9466/827, 5510/5935 is

GCF of Numerators i.e. for 9466,5510 is 2

LCM of denominators i.e. for 827,5935 is 4908245.

Thus, GCF of Fractions is 2/4908245.Finally, GCF of Fractions for 9466/827, 5510/5935 is 2/4908245.