Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/27,22/96,11/48,85/579
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 14,22,11,85
Greatest Common Factor of Numerators i.e. GCF of 14,22,11,85 is 1 .
LCM of Denominators means LCM of 27,96,48,579 as per the given fractions.
LCM of 27,96,48,579 is 166752 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 14,22,11,85
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Greatest Common Factor
We found the factors 14,22,11,85 . The biggest common factor number is the GCF number.
So the greatest common factor 14,22,11,85 is 1.
Lets's calculate LCM of 27,96,48,579
2 | 27, 96, 48, 579 |
2 | 27, 48, 24, 579 |
2 | 27, 12, 24, 579 |
2 | 27, 6, 12, 579 |
3 | 27, 3, 6, 579 |
9, 1, 2, 193 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 9 x 1 x 2 x 193 = 166752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166752
Therefore, the GCF of Fractions 14/27,22/96,11/48,85/579 is 1/166752
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 27,96,48,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,96,48,579) = 3
common factors(in case of two or more numbers have common factors) = 144
GCF(27,96,48,579) x common factors =3 x 144 = 432
LCM(27,96,48,579) = ( 27 × 96 × 48 × 579 ) / 432
LCM(27,96,48,579) = 72036864 / 432
LCM(27,96,48,579) = 166752
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 14/27, 22/96, 11/48, 85/579?
Answer: GCF of Numerators as per given numbers 14/27, 22/96, 11/48, 85/579 is
GCF of Numerators i.e. for 14,22,11,85 is 1
LCM of denominators i.e. for 27,96,48,579 is 166752.
Thus, GCF of Fractions is 1/166752.Finally, GCF of Fractions for 14/27, 22/96, 11/48, 85/579 is 1/166752.