Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 146/57,220/96,566/756
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 146,220,566
Greatest Common Factor of Numerators i.e. GCF of 146,220,566 is 2 .
LCM of Denominators means LCM of 57,96,756 as per the given fractions.
LCM of 57,96,756 is 114912 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 146,220,566
2 | 146, 220, 566 |
73, 110, 283 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Greatest Common Factor
We found the factors 146,220,566 . The biggest common factor number is the GCF number.
So the greatest common factor 146,220,566 is 2.
Lets's calculate LCM of 57,96,756
2 | 57, 96, 756 |
2 | 57, 48, 378 |
3 | 57, 24, 189 |
19, 8, 63 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 8 x 63 = 114912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/114912
Therefore, the GCF of Fractions 146/57,220/96,566/756 is 2/114912
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 57,96,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,96,756) = 3
common factors(in case of two or more numbers have common factors) = 12
GCF(57,96,756) x common factors =3 x 12 = 36
LCM(57,96,756) = ( 57 × 96 × 756 ) / 36
LCM(57,96,756) = 4136832 / 36
LCM(57,96,756) = 114912
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 146/57, 220/96, 566/756?
Answer: GCF of Numerators as per given numbers 146/57, 220/96, 566/756 is
GCF of Numerators i.e. for 146,220,566 is 2
LCM of denominators i.e. for 57,96,756 is 114912.
Thus, GCF of Fractions is 2/114912.Finally, GCF of Fractions for 146/57, 220/96, 566/756 is 2/114912.