Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/262,191/330,809/914
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 70,191,809
Greatest Common Factor of Numerators i.e. GCF of 70,191,809 is 1 .
LCM of Denominators means LCM of 262,330,914 as per the given fractions.
LCM of 262,330,914 is 19756110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 70,191,809
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 191
List of positive integer factors of 191 that divides 191 without a remainder.
1,191
Factors of 809
List of positive integer factors of 809 that divides 809 without a remainder.
1,809
Greatest Common Factor
We found the factors 70,191,809 . The biggest common factor number is the GCF number.
So the greatest common factor 70,191,809 is 1.
Lets's calculate LCM of 262,330,914
2 | 262, 330, 914 |
131, 165, 457 |
∴ So the LCM of the given numbers is 2 x 131 x 165 x 457 = 19756110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19756110
Therefore, the GCF of Fractions 70/262,191/330,809/914 is 1/19756110
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 262,330,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,330,914) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(262,330,914) x common factors =2 x 2 = 4
LCM(262,330,914) = ( 262 × 330 × 914 ) / 4
LCM(262,330,914) = 79024440 / 4
LCM(262,330,914) = 19756110
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 70/262, 191/330, 809/914?
Answer: GCF of Numerators as per given numbers 70/262, 191/330, 809/914 is
GCF of Numerators i.e. for 70,191,809 is 1
LCM of denominators i.e. for 262,330,914 is 19756110.
Thus, GCF of Fractions is 1/19756110.Finally, GCF of Fractions for 70/262, 191/330, 809/914 is 1/19756110.