Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 190/75,160/13,132/786
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 190,160,132
Greatest Common Factor of Numerators i.e. GCF of 190,160,132 is 2 .
LCM of Denominators means LCM of 75,13,786 as per the given fractions.
LCM of 75,13,786 is 255450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 190,160,132
2 | 190, 160, 132 |
95, 80, 66 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 190,160,132 . The biggest common factor number is the GCF number.
So the greatest common factor 190,160,132 is 2.
Lets's calculate LCM of 75,13,786
3 | 75, 13, 786 |
25, 13, 262 |
∴ So the LCM of the given numbers is 3 x 25 x 13 x 262 = 255450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/255450
Therefore, the GCF of Fractions 190/75,160/13,132/786 is 2/255450
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 75,13,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,13,786) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(75,13,786) x common factors =1 x 3 = 3
LCM(75,13,786) = ( 75 × 13 × 786 ) / 3
LCM(75,13,786) = 766350 / 3
LCM(75,13,786) = 255450
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 190/75, 160/13, 132/786?
Answer: GCF of Numerators as per given numbers 190/75, 160/13, 132/786 is
GCF of Numerators i.e. for 190,160,132 is 2
LCM of denominators i.e. for 75,13,786 is 255450.
Thus, GCF of Fractions is 2/255450.Finally, GCF of Fractions for 190/75, 160/13, 132/786 is 2/255450.