Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/22,46/47,54/29,27/313
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 96,46,54,27
Greatest Common Factor of Numerators i.e. GCF of 96,46,54,27 is 1 .
LCM of Denominators means LCM of 22,47,29,313 as per the given fractions.
LCM of 22,47,29,313 is 9385618 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 96,46,54,27
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
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 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Greatest Common Factor
We found the factors 96,46,54,27 . The biggest common factor number is the GCF number.
So the greatest common factor 96,46,54,27 is 1.
Lets's calculate LCM of 22,47,29,313
Given numbers has no common factors except 1. So, there LCM is their product i.e 9385618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9385618
Therefore, the GCF of Fractions 96/22,46/47,54/29,27/313 is 1/9385618
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 22,47,29,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,47,29,313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(22,47,29,313) x common factors =1 x 1 = 1
LCM(22,47,29,313) = ( 22 × 47 × 29 × 313 ) / 1
LCM(22,47,29,313) = 9385618 / 1
LCM(22,47,29,313) = 9385618
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 96/22, 46/47, 54/29, 27/313?
Answer: GCF of Numerators as per given numbers 96/22, 46/47, 54/29, 27/313 is
GCF of Numerators i.e. for 96,46,54,27 is 1
LCM of denominators i.e. for 22,47,29,313 is 9385618.
Thus, GCF of Fractions is 1/9385618.Finally, GCF of Fractions for 96/22, 46/47, 54/29, 27/313 is 1/9385618.