Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 28/95,530/88,246/915
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 28,530,246
Greatest Common Factor of Numerators i.e. GCF of 28,530,246 is 2 .
LCM of Denominators means LCM of 95,88,915 as per the given fractions.
LCM of 95,88,915 is 1529880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 28,530,246
2 | 28, 530, 246 |
14, 265, 123 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Greatest Common Factor
We found the factors 28,530,246 . The biggest common factor number is the GCF number.
So the greatest common factor 28,530,246 is 2.
Lets's calculate LCM of 95,88,915
5 | 95, 88, 915 |
19, 88, 183 |
∴ So the LCM of the given numbers is 5 x 19 x 88 x 183 = 1529880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1529880
Therefore, the GCF of Fractions 28/95,530/88,246/915 is 2/1529880
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 95,88,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,88,915) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(95,88,915) x common factors =1 x 5 = 5
LCM(95,88,915) = ( 95 × 88 × 915 ) / 5
LCM(95,88,915) = 7649400 / 5
LCM(95,88,915) = 1529880
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 28/95, 530/88, 246/915?
Answer: GCF of Numerators as per given numbers 28/95, 530/88, 246/915 is
GCF of Numerators i.e. for 28,530,246 is 2
LCM of denominators i.e. for 95,88,915 is 1529880.
Thus, GCF of Fractions is 2/1529880.Finally, GCF of Fractions for 28/95, 530/88, 246/915 is 2/1529880.