Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/62,19/66,768/568
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 50,19,768
Greatest Common Factor of Numerators i.e. GCF of 50,19,768 is 1 .
LCM of Denominators means LCM of 62,66,568 as per the given fractions.
LCM of 62,66,568 is 581064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 50,19,768
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 768
List of positive integer factors of 768 that divides 768 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Greatest Common Factor
We found the factors 50,19,768 . The biggest common factor number is the GCF number.
So the greatest common factor 50,19,768 is 1.
Lets's calculate LCM of 62,66,568
2 | 62, 66, 568 |
31, 33, 284 |
∴ So the LCM of the given numbers is 2 x 31 x 33 x 284 = 581064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/581064
Therefore, the GCF of Fractions 50/62,19/66,768/568 is 1/581064
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 62,66,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,66,568) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(62,66,568) x common factors =2 x 2 = 4
LCM(62,66,568) = ( 62 × 66 × 568 ) / 4
LCM(62,66,568) = 2324256 / 4
LCM(62,66,568) = 581064
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 50/62, 19/66, 768/568?
Answer: GCF of Numerators as per given numbers 50/62, 19/66, 768/568 is
GCF of Numerators i.e. for 50,19,768 is 1
LCM of denominators i.e. for 62,66,568 is 581064.
Thus, GCF of Fractions is 1/581064.Finally, GCF of Fractions for 50/62, 19/66, 768/568 is 1/581064.