Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 787/86,116/38,906/38
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 787,116,906
Greatest Common Factor of Numerators i.e. GCF of 787,116,906 is 1 .
LCM of Denominators means LCM of 86,38,38 as per the given fractions.
LCM of 86,38,38 is 1634 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 787,116,906
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 787
List of positive integer factors of 787 that divides 787 without a remainder.
1,787
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Greatest Common Factor
We found the factors 787,116,906 . The biggest common factor number is the GCF number.
So the greatest common factor 787,116,906 is 1.
Lets's calculate LCM of 86,38,38
2 | 86, 38, 38 |
19 | 43, 19, 19 |
43, 1, 1 |
∴ So the LCM of the given numbers is 2 x 19 x 43 x 1 x 1 = 1634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1634
Therefore, the GCF of Fractions 787/86,116/38,906/38 is 1/1634
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 86,38,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,38,38) = 2
common factors(in case of two or more numbers have common factors) = 38
GCF(86,38,38) x common factors =2 x 38 = 76
LCM(86,38,38) = ( 86 × 38 × 38 ) / 76
LCM(86,38,38) = 124184 / 76
LCM(86,38,38) = 1634
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 787/86, 116/38, 906/38?
Answer: GCF of Numerators as per given numbers 787/86, 116/38, 906/38 is
GCF of Numerators i.e. for 787,116,906 is 1
LCM of denominators i.e. for 86,38,38 is 1634.
Thus, GCF of Fractions is 1/1634.Finally, GCF of Fractions for 787/86, 116/38, 906/38 is 1/1634.