Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 189/43,381/67,990/974
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 189,381,990
Greatest Common Factor of Numerators i.e. GCF of 189,381,990 is 3 .
LCM of Denominators means LCM of 43,67,974 as per the given fractions.
LCM of 43,67,974 is 2806094 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 189,381,990
3 | 189, 381, 990 |
63, 127, 330 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 189
List of positive integer factors of 189 that divides 189 without a remainder.
1,3,7,9,21,27,63,189
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 189,381,990 . The biggest common factor number is the GCF number.
So the greatest common factor 189,381,990 is 3.
Lets's calculate LCM of 43,67,974
Given numbers has no common factors except 1. So, there LCM is their product i.e 2806094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2806094
Therefore, the GCF of Fractions 189/43,381/67,990/974 is 3/2806094
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 43,67,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,67,974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,67,974) x common factors =1 x 1 = 1
LCM(43,67,974) = ( 43 × 67 × 974 ) / 1
LCM(43,67,974) = 2806094 / 1
LCM(43,67,974) = 2806094
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 189/43, 381/67, 990/974?
Answer: GCF of Numerators as per given numbers 189/43, 381/67, 990/974 is
GCF of Numerators i.e. for 189,381,990 is 3
LCM of denominators i.e. for 43,67,974 is 2806094.
Thus, GCF of Fractions is 3/2806094.Finally, GCF of Fractions for 189/43, 381/67, 990/974 is 3/2806094.