Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1519/900,6330/8640
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 1519,6330
Greatest Common Factor of Numerators i.e. GCF of 1519,6330 is 1 .
LCM of Denominators means LCM of 900,8640 as per the given fractions.
LCM of 900,8640 is 43200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1519,6330
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1519
List of positive integer factors of 1519 that divides 1519 without a remainder.
1,7,31,49,217,1519
Factors of 6330
List of positive integer factors of 6330 that divides 6330 without a remainder.
1,2,3,5,6,10,15,30,211,422,633,1055,1266,2110,3165,6330
Greatest Common Factor
We found the factors 1519,6330 . The biggest common factor number is the GCF number.
So the greatest common factor 1519,6330 is 1.
Lets's calculate LCM of 900,8640
2 | 900, 8640 |
2 | 450, 4320 |
3 | 225, 2160 |
3 | 75, 720 |
5 | 25, 240 |
5, 48 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 5 x 48 = 43200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43200
Therefore, the GCF of Fractions 1519/900,6330/8640 is 1/43200
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 900,8640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(900,8640) = 180
common factors(in case of two or more numbers have common factors) = 1
GCF(900,8640) x common factors =180 x 1 = 180
LCM(900,8640) = ( 900 × 8640 ) / 180
LCM(900,8640) = 7776000 / 180
LCM(900,8640) = 43200
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 1519/900, 6330/8640?
Answer: GCF of Numerators as per given numbers 1519/900, 6330/8640 is
GCF of Numerators i.e. for 1519,6330 is 1
LCM of denominators i.e. for 900,8640 is 43200.
Thus, GCF of Fractions is 1/43200.Finally, GCF of Fractions for 1519/900, 6330/8640 is 1/43200.