Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/39,157/67,517/54
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 9,157,517
Greatest Common Factor of Numerators i.e. GCF of 9,157,517 is 1 .
LCM of Denominators means LCM of 39,67,54 as per the given fractions.
LCM of 39,67,54 is 47034 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9,157,517
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
Factors of 157
List of positive integer factors of 157 that divides 157 without a remainder.
1,157
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Greatest Common Factor
We found the factors 9,157,517 . The biggest common factor number is the GCF number.
So the greatest common factor 9,157,517 is 1.
Lets's calculate LCM of 39,67,54
3 | 39, 67, 54 |
13, 67, 18 |
∴ So the LCM of the given numbers is 3 x 13 x 67 x 18 = 47034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47034
Therefore, the GCF of Fractions 9/39,157/67,517/54 is 1/47034
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 39,67,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,67,54) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(39,67,54) x common factors =1 x 3 = 3
LCM(39,67,54) = ( 39 × 67 × 54 ) / 3
LCM(39,67,54) = 141102 / 3
LCM(39,67,54) = 47034
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 9/39, 157/67, 517/54?
Answer: GCF of Numerators as per given numbers 9/39, 157/67, 517/54 is
GCF of Numerators i.e. for 9,157,517 is 1
LCM of denominators i.e. for 39,67,54 is 47034.
Thus, GCF of Fractions is 1/47034.Finally, GCF of Fractions for 9/39, 157/67, 517/54 is 1/47034.