Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 68/91,96/417,252/741
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 68,96,252
Greatest Common Factor of Numerators i.e. GCF of 68,96,252 is 4 .
LCM of Denominators means LCM of 91,417,741 as per the given fractions.
LCM of 91,417,741 is 720993 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 68,96,252
2 | 68, 96, 252 |
2 | 34, 48, 126 |
17, 24, 63 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
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 252
List of positive integer factors of 252 that divides 252 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Greatest Common Factor
We found the factors 68,96,252 . The biggest common factor number is the GCF number.
So the greatest common factor 68,96,252 is 4.
Lets's calculate LCM of 91,417,741
3 | 91, 417, 741 |
13 | 91, 139, 247 |
7, 139, 19 |
∴ So the LCM of the given numbers is 3 x 13 x 7 x 139 x 19 = 720993
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/720993
Therefore, the GCF of Fractions 68/91,96/417,252/741 is 4/720993
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 91,417,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,417,741) = 1
common factors(in case of two or more numbers have common factors) = 39
GCF(91,417,741) x common factors =1 x 39 = 39
LCM(91,417,741) = ( 91 × 417 × 741 ) / 39
LCM(91,417,741) = 28118727 / 39
LCM(91,417,741) = 720993
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 68/91, 96/417, 252/741?
Answer: GCF of Numerators as per given numbers 68/91, 96/417, 252/741 is
GCF of Numerators i.e. for 68,96,252 is 4
LCM of denominators i.e. for 91,417,741 is 720993.
Thus, GCF of Fractions is 4/720993.Finally, GCF of Fractions for 68/91, 96/417, 252/741 is 4/720993.