Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3384/468,8820/915
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 3384,8820
Greatest Common Factor of Numerators i.e. GCF of 3384,8820 is 36 .
LCM of Denominators means LCM of 468,915 as per the given fractions.
LCM of 468,915 is 142740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3384,8820
2 | 3384, 8820 |
2 | 1692, 4410 |
3 | 846, 2205 |
3 | 282, 735 |
94, 245 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Factors of 3384
List of positive integer factors of 3384 that divides 3384 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,47,72,94,141,188,282,376,423,564,846,1128,1692,3384
Factors of 8820
List of positive integer factors of 8820 that divides 8820 without a remainder.
1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,49,60,63,70,84,90,98,105,126,140,147,180,196,210,245,252,294,315,420,441,490,588,630,735,882,980,1260,1470,1764,2205,2940,4410,8820
Greatest Common Factor
We found the factors 3384,8820 . The biggest common factor number is the GCF number.
So the greatest common factor 3384,8820 is 36.
Lets's calculate LCM of 468,915
3 | 468, 915 |
156, 305 |
∴ So the LCM of the given numbers is 3 x 156 x 305 = 142740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/142740
Therefore, the GCF of Fractions 3384/468,8820/915 is 36/142740
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 468,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,915) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(468,915) x common factors =3 x 1 = 3
LCM(468,915) = ( 468 × 915 ) / 3
LCM(468,915) = 428220 / 3
LCM(468,915) = 142740
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 3384/468, 8820/915?
Answer: GCF of Numerators as per given numbers 3384/468, 8820/915 is
GCF of Numerators i.e. for 3384,8820 is 36
LCM of denominators i.e. for 468,915 is 142740.
Thus, GCF of Fractions is 36/142740.Finally, GCF of Fractions for 3384/468, 8820/915 is 36/142740.