Greatest Common Factor of 5100/900, 9228/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 5100/900, 9228/949

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 5100/900,9228/949

Given fractions are 5100/900,9228/949

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 5100,9228

Greatest Common Factor of Numerators i.e. GCF of 5100,9228 is 12 .

LCM of Denominators means LCM of 900,949 as per the given fractions.

LCM of 900,949 is 854100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5100,9228

GCF of Fractions 5100/900,9228/949 is 12/854100

2 5100, 9228
2 2550, 4614
3 1275, 2307
425, 769

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 5100,9228 By Matching Biggest Common Factor Method

Greatest Common Factor of 5100,9228 By Matching Biggest Common Factor Method

Factors of 5100

List of positive integer factors of 5100 that divides 5100 without a remainder.

1,2,3,4,5,6,10,12,15,17,20,25,30,34,50,51,60,68,75,85,100,102,150,170,204,255,300,340,425,510,850,1020,1275,1700,2550,5100

Factors of 9228

List of positive integer factors of 9228 that divides 9228 without a remainder.

1,2,3,4,6,12,769,1538,2307,3076,4614,9228

Greatest Common Factor

We found the factors 5100,9228 . The biggest common factor number is the GCF number.
So the greatest common factor 5100,9228 is 12.


Lets's calculate LCM of 900,949

Given numbers has no common factors except 1. So, there LCM is their product i.e 854100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/854100

Therefore, the GCF of Fractions 5100/900,9228/949 is 12/854100

Least Common Multiple of 900,949 with GCF Formula

Least Common Multiple of 900,949 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 900,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,949) = 1

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

GCF(900,949) x common factors =1 x 1 = 1

LCM(900,949) = ( 900 × 949 ) / 1

LCM(900,949) = 854100 / 1

LCM(900,949) = 854100


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 5100/900, 9228/949

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 5100/900, 9228/949?

Answer: GCF of Numerators as per given numbers 5100/900, 9228/949 is

GCF of Numerators i.e. for 5100,9228 is 12

LCM of denominators i.e. for 900,949 is 854100.

Thus, GCF of Fractions is 12/854100.Finally, GCF of Fractions for 5100/900, 9228/949 is 12/854100.