Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 68/73,86/39,254/48
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 68,86,254
Greatest Common Factor of Numerators i.e. GCF of 68,86,254 is 2 .
LCM of Denominators means LCM of 73,39,48 as per the given fractions.
LCM of 73,39,48 is 45552 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 68,86,254
2 | 68, 86, 254 |
34, 43, 127 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Greatest Common Factor
We found the factors 68,86,254 . The biggest common factor number is the GCF number.
So the greatest common factor 68,86,254 is 2.
Lets's calculate LCM of 73,39,48
3 | 73, 39, 48 |
73, 13, 16 |
∴ So the LCM of the given numbers is 3 x 73 x 13 x 16 = 45552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45552
Therefore, the GCF of Fractions 68/73,86/39,254/48 is 2/45552
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 73,39,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,39,48) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(73,39,48) x common factors =1 x 3 = 3
LCM(73,39,48) = ( 73 × 39 × 48 ) / 3
LCM(73,39,48) = 136656 / 3
LCM(73,39,48) = 45552
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 68/73, 86/39, 254/48?
Answer: GCF of Numerators as per given numbers 68/73, 86/39, 254/48 is
GCF of Numerators i.e. for 68,86,254 is 2
LCM of denominators i.e. for 73,39,48 is 45552.
Thus, GCF of Fractions is 2/45552.Finally, GCF of Fractions for 68/73, 86/39, 254/48 is 2/45552.