Greatest Common Factor of 9954/47, 1188/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9954/47, 1188/125

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 9954/47,1188/125

Given fractions are 9954/47,1188/125

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 9954,1188

Greatest Common Factor of Numerators i.e. GCF of 9954,1188 is 18 .

LCM of Denominators means LCM of 47,125 as per the given fractions.

LCM of 47,125 is 5875 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9954,1188

GCF of Fractions 9954/47,1188/125 is 18/5875

2 9954, 1188
3 4977, 594
3 1659, 198
553, 66

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 9954,1188 By Matching Biggest Common Factor Method

Greatest Common Factor of 9954,1188 By Matching Biggest Common Factor Method

Factors of 9954

List of positive integer factors of 9954 that divides 9954 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,79,126,158,237,474,553,711,1106,1422,1659,3318,4977,9954

Factors of 1188

List of positive integer factors of 1188 that divides 1188 without a remainder.

1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,99,108,132,198,297,396,594,1188

Greatest Common Factor

We found the factors 9954,1188 . The biggest common factor number is the GCF number.
So the greatest common factor 9954,1188 is 18.

Lets's calculate LCM of 47,125

Given numbers has no common factors except 1. So, there LCM is their product i.e 5875

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/5875

Therefore, the GCF of Fractions 9954/47,1188/125 is 18/5875

Least Common Multiple of 47,125 with GCF Formula

Least Common Multiple of 47,125 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 47,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,125) = 1

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

GCF(47,125) x common factors =1 x 1 = 1

LCM(47,125) = ( 47 × 125 ) / 1

LCM(47,125) = 5875 / 1

LCM(47,125) = 5875


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 9954/47, 1188/125

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 9954/47, 1188/125?

Answer: GCF of Numerators as per given numbers 9954/47, 1188/125 is

GCF of Numerators i.e. for 9954,1188 is 18

LCM of denominators i.e. for 47,125 is 5875.

Thus, GCF of Fractions is 18/5875.Finally, GCF of Fractions for 9954/47, 1188/125 is 18/5875.