Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 914/88,878/64,446/973
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 914,878,446
Greatest Common Factor of Numerators i.e. GCF of 914,878,446 is 2 .
LCM of Denominators means LCM of 88,64,973 as per the given fractions.
LCM of 88,64,973 is 684992 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 914,878,446
2 | 914, 878, 446 |
457, 439, 223 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Factors of 878
List of positive integer factors of 878 that divides 878 without a remainder.
1,2,439,878
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Greatest Common Factor
We found the factors 914,878,446 . The biggest common factor number is the GCF number.
So the greatest common factor 914,878,446 is 2.
Lets's calculate LCM of 88,64,973
2 | 88, 64, 973 |
2 | 44, 32, 973 |
2 | 22, 16, 973 |
11, 8, 973 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 8 x 973 = 684992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/684992
Therefore, the GCF of Fractions 914/88,878/64,446/973 is 2/684992
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 88,64,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,64,973) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(88,64,973) x common factors =1 x 8 = 8
LCM(88,64,973) = ( 88 × 64 × 973 ) / 8
LCM(88,64,973) = 5479936 / 8
LCM(88,64,973) = 684992
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 914/88, 878/64, 446/973?
Answer: GCF of Numerators as per given numbers 914/88, 878/64, 446/973 is
GCF of Numerators i.e. for 914,878,446 is 2
LCM of denominators i.e. for 88,64,973 is 684992.
Thus, GCF of Fractions is 2/684992.Finally, GCF of Fractions for 914/88, 878/64, 446/973 is 2/684992.