Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1152/459,8180/3297
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 1152,8180
Greatest Common Factor of Numerators i.e. GCF of 1152,8180 is 4 .
LCM of Denominators means LCM of 459,3297 as per the given fractions.
LCM of 459,3297 is 504441 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1152,8180
2 | 1152, 8180 |
2 | 576, 4090 |
288, 2045 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 1152
List of positive integer factors of 1152 that divides 1152 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,288,384,576,1152
Factors of 8180
List of positive integer factors of 8180 that divides 8180 without a remainder.
1,2,4,5,10,20,409,818,1636,2045,4090,8180
Greatest Common Factor
We found the factors 1152,8180 . The biggest common factor number is the GCF number.
So the greatest common factor 1152,8180 is 4.
Lets's calculate LCM of 459,3297
3 | 459, 3297 |
153, 1099 |
∴ So the LCM of the given numbers is 3 x 153 x 1099 = 504441
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/504441
Therefore, the GCF of Fractions 1152/459,8180/3297 is 4/504441
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 459,3297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,3297) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(459,3297) x common factors =3 x 1 = 3
LCM(459,3297) = ( 459 × 3297 ) / 3
LCM(459,3297) = 1513323 / 3
LCM(459,3297) = 504441
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 1152/459, 8180/3297?
Answer: GCF of Numerators as per given numbers 1152/459, 8180/3297 is
GCF of Numerators i.e. for 1152,8180 is 4
LCM of denominators i.e. for 459,3297 is 504441.
Thus, GCF of Fractions is 4/504441.Finally, GCF of Fractions for 1152/459, 8180/3297 is 4/504441.