Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4472/950,5400/6331
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 4472,5400
Greatest Common Factor of Numerators i.e. GCF of 4472,5400 is 8 .
LCM of Denominators means LCM of 950,6331 as per the given fractions.
LCM of 950,6331 is 6014450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4472,5400
2 | 4472, 5400 |
2 | 2236, 2700 |
2 | 1118, 1350 |
559, 675 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 4472
List of positive integer factors of 4472 that divides 4472 without a remainder.
1,2,4,8,13,26,43,52,86,104,172,344,559,1118,2236,4472
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 4472,5400 . The biggest common factor number is the GCF number.
So the greatest common factor 4472,5400 is 8.
Lets's calculate LCM of 950,6331
Given numbers has no common factors except 1. So, there LCM is their product i.e 6014450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/6014450
Therefore, the GCF of Fractions 4472/950,5400/6331 is 8/6014450
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 950,6331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,6331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(950,6331) x common factors =1 x 1 = 1
LCM(950,6331) = ( 950 × 6331 ) / 1
LCM(950,6331) = 6014450 / 1
LCM(950,6331) = 6014450
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 4472/950, 5400/6331?
Answer: GCF of Numerators as per given numbers 4472/950, 5400/6331 is
GCF of Numerators i.e. for 4472,5400 is 8
LCM of denominators i.e. for 950,6331 is 6014450.
Thus, GCF of Fractions is 8/6014450.Finally, GCF of Fractions for 4472/950, 5400/6331 is 8/6014450.