Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 881/16,668/17,914/325
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 881,668,914
Greatest Common Factor of Numerators i.e. GCF of 881,668,914 is 1 .
LCM of Denominators means LCM of 16,17,325 as per the given fractions.
LCM of 16,17,325 is 88400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 881,668,914
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Factors of 668
List of positive integer factors of 668 that divides 668 without a remainder.
1,2,4,167,334,668
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Greatest Common Factor
We found the factors 881,668,914 . The biggest common factor number is the GCF number.
So the greatest common factor 881,668,914 is 1.
Lets's calculate LCM of 16,17,325
Given numbers has no common factors except 1. So, there LCM is their product i.e 88400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88400
Therefore, the GCF of Fractions 881/16,668/17,914/325 is 1/88400
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 16,17,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,17,325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,17,325) x common factors =1 x 1 = 1
LCM(16,17,325) = ( 16 × 17 × 325 ) / 1
LCM(16,17,325) = 88400 / 1
LCM(16,17,325) = 88400
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 881/16, 668/17, 914/325?
Answer: GCF of Numerators as per given numbers 881/16, 668/17, 914/325 is
GCF of Numerators i.e. for 881,668,914 is 1
LCM of denominators i.e. for 16,17,325 is 88400.
Thus, GCF of Fractions is 1/88400.Finally, GCF of Fractions for 881/16, 668/17, 914/325 is 1/88400.