Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 54/36,72/33,25/60,16/276
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 54,72,25,16
Greatest Common Factor of Numerators i.e. GCF of 54,72,25,16 is 1 .
LCM of Denominators means LCM of 36,33,60,276 as per the given fractions.
LCM of 36,33,60,276 is 45540 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 54,72,25,16
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Greatest Common Factor
We found the factors 54,72,25,16 . The biggest common factor number is the GCF number.
So the greatest common factor 54,72,25,16 is 1.
Lets's calculate LCM of 36,33,60,276
2 | 36, 33, 60, 276 |
2 | 18, 33, 30, 138 |
3 | 9, 33, 15, 69 |
3, 11, 5, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 11 x 5 x 23 = 45540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45540
Therefore, the GCF of Fractions 54/36,72/33,25/60,16/276 is 1/45540
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 36,33,60,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,33,60,276) = 3
common factors(in case of two or more numbers have common factors) = 144
GCF(36,33,60,276) x common factors =3 x 144 = 432
LCM(36,33,60,276) = ( 36 × 33 × 60 × 276 ) / 432
LCM(36,33,60,276) = 19673280 / 432
LCM(36,33,60,276) = 45540
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 54/36, 72/33, 25/60, 16/276?
Answer: GCF of Numerators as per given numbers 54/36, 72/33, 25/60, 16/276 is
GCF of Numerators i.e. for 54,72,25,16 is 1
LCM of denominators i.e. for 36,33,60,276 is 45540.
Thus, GCF of Fractions is 1/45540.Finally, GCF of Fractions for 54/36, 72/33, 25/60, 16/276 is 1/45540.