Greatest Common Factor of 9361/553, 4730/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9361/553, 4730/180

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 9361/553,4730/180

Given fractions are 9361/553,4730/180

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 9361,4730

Greatest Common Factor of Numerators i.e. GCF of 9361,4730 is 11 .

LCM of Denominators means LCM of 553,180 as per the given fractions.

LCM of 553,180 is 99540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9361,4730

GCF of Fractions 9361/553,4730/180 is 11/99540

11 9361, 4730
851, 430

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 9361,4730 By Matching Biggest Common Factor Method

Greatest Common Factor of 9361,4730 By Matching Biggest Common Factor Method

Factors of 9361

List of positive integer factors of 9361 that divides 9361 without a remainder.

1,11,23,37,253,407,851,9361

Factors of 4730

List of positive integer factors of 4730 that divides 4730 without a remainder.

1,2,5,10,11,22,43,55,86,110,215,430,473,946,2365,4730

Greatest Common Factor

We found the factors 9361,4730 . The biggest common factor number is the GCF number.
So the greatest common factor 9361,4730 is 11.

Lets's calculate LCM of 553,180

Given numbers has no common factors except 1. So, there LCM is their product i.e 99540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/99540

Therefore, the GCF of Fractions 9361/553,4730/180 is 11/99540

Least Common Multiple of 553,180 with GCF Formula

Least Common Multiple of 553,180 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 553,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(553,180) = 1

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

GCF(553,180) x common factors =1 x 1 = 1

LCM(553,180) = ( 553 × 180 ) / 1

LCM(553,180) = 99540 / 1

LCM(553,180) = 99540


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 9361/553, 4730/180

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 9361/553, 4730/180?

Answer: GCF of Numerators as per given numbers 9361/553, 4730/180 is

GCF of Numerators i.e. for 9361,4730 is 11

LCM of denominators i.e. for 553,180 is 99540.

Thus, GCF of Fractions is 11/99540.Finally, GCF of Fractions for 9361/553, 4730/180 is 11/99540.