Greatest Common Factor of 9955/11, 5400/611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9955/11, 5400/611

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 9955/11,5400/611

Given fractions are 9955/11,5400/611

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 9955,5400

Greatest Common Factor of Numerators i.e. GCF of 9955,5400 is 5 .

LCM of Denominators means LCM of 11,611 as per the given fractions.

LCM of 11,611 is 6721 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9955,5400

GCF of Fractions 9955/11,5400/611 is 5/6721

5 9955, 5400
1991, 1080

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 9955,5400 By Matching Biggest Common Factor Method

Greatest Common Factor of 9955,5400 By Matching Biggest Common Factor Method

Factors of 9955

List of positive integer factors of 9955 that divides 9955 without a remainder.

1,5,11,55,181,905,1991,9955

Factors of 5400

List of positive integer factors of 5400 that divides 5400 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,27,30,36,40,45,50,54,60,72,75,90,100,108,120,135,150,180,200,216,225,270,300,360,450,540,600,675,900,1080,1350,1800,2700,5400

Greatest Common Factor

We found the factors 9955,5400 . The biggest common factor number is the GCF number.
So the greatest common factor 9955,5400 is 5.

Lets's calculate LCM of 11,611

Given numbers has no common factors except 1. So, there LCM is their product i.e 6721

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6721

Therefore, the GCF of Fractions 9955/11,5400/611 is 5/6721

Least Common Multiple of 11,611 with GCF Formula

Least Common Multiple of 11,611 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 11,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,611) = 1

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

GCF(11,611) x common factors =1 x 1 = 1

LCM(11,611) = ( 11 × 611 ) / 1

LCM(11,611) = 6721 / 1

LCM(11,611) = 6721


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 9955/11, 5400/611

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 9955/11, 5400/611?

Answer: GCF of Numerators as per given numbers 9955/11, 5400/611 is

GCF of Numerators i.e. for 9955,5400 is 5

LCM of denominators i.e. for 11,611 is 6721.

Thus, GCF of Fractions is 5/6721.Finally, GCF of Fractions for 9955/11, 5400/611 is 5/6721.