Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 30/30,482/18,984/241
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 30,482,984
Greatest Common Factor of Numerators i.e. GCF of 30,482,984 is 2 .
LCM of Denominators means LCM of 30,18,241 as per the given fractions.
LCM of 30,18,241 is 21690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 30,482,984
2 | 30, 482, 984 |
15, 241, 492 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Greatest Common Factor
We found the factors 30,482,984 . The biggest common factor number is the GCF number.
So the greatest common factor 30,482,984 is 2.
Lets's calculate LCM of 30,18,241
2 | 30, 18, 241 |
3 | 15, 9, 241 |
5, 3, 241 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 241 = 21690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21690
Therefore, the GCF of Fractions 30/30,482/18,984/241 is 2/21690
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 30,18,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,18,241) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(30,18,241) x common factors =1 x 6 = 6
LCM(30,18,241) = ( 30 × 18 × 241 ) / 6
LCM(30,18,241) = 130140 / 6
LCM(30,18,241) = 21690
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 30/30, 482/18, 984/241?
Answer: GCF of Numerators as per given numbers 30/30, 482/18, 984/241 is
GCF of Numerators i.e. for 30,482,984 is 2
LCM of denominators i.e. for 30,18,241 is 21690.
Thus, GCF of Fractions is 2/21690.Finally, GCF of Fractions for 30/30, 482/18, 984/241 is 2/21690.