Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/48,48/93,86/74,23/68
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 46,48,86,23
Greatest Common Factor of Numerators i.e. GCF of 46,48,86,23 is 1 .
LCM of Denominators means LCM of 48,93,74,68 as per the given fractions.
LCM of 48,93,74,68 is 935952 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 46,48,86,23
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Greatest Common Factor
We found the factors 46,48,86,23 . The biggest common factor number is the GCF number.
So the greatest common factor 46,48,86,23 is 1.
Lets's calculate LCM of 48,93,74,68
2 | 48, 93, 74, 68 |
2 | 24, 93, 37, 34 |
3 | 12, 93, 37, 17 |
4, 31, 37, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 31 x 37 x 17 = 935952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/935952
Therefore, the GCF of Fractions 46/48,48/93,86/74,23/68 is 1/935952
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 48,93,74,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,93,74,68) = 1
common factors(in case of two or more numbers have common factors) = 24
GCF(48,93,74,68) x common factors =1 x 24 = 24
LCM(48,93,74,68) = ( 48 × 93 × 74 × 68 ) / 24
LCM(48,93,74,68) = 22462848 / 24
LCM(48,93,74,68) = 935952
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 46/48, 48/93, 86/74, 23/68?
Answer: GCF of Numerators as per given numbers 46/48, 48/93, 86/74, 23/68 is
GCF of Numerators i.e. for 46,48,86,23 is 1
LCM of denominators i.e. for 48,93,74,68 is 935952.
Thus, GCF of Fractions is 1/935952.Finally, GCF of Fractions for 46/48, 48/93, 86/74, 23/68 is 1/935952.