Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 136/88,135/66,350/109
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 136,135,350
Greatest Common Factor of Numerators i.e. GCF of 136,135,350 is 1 .
LCM of Denominators means LCM of 88,66,109 as per the given fractions.
LCM of 88,66,109 is 28776 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 136,135,350
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Greatest Common Factor
We found the factors 136,135,350 . The biggest common factor number is the GCF number.
So the greatest common factor 136,135,350 is 1.
Lets's calculate LCM of 88,66,109
2 | 88, 66, 109 |
11 | 44, 33, 109 |
4, 3, 109 |
∴ So the LCM of the given numbers is 2 x 11 x 4 x 3 x 109 = 28776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28776
Therefore, the GCF of Fractions 136/88,135/66,350/109 is 1/28776
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 88,66,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,66,109) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(88,66,109) x common factors =1 x 22 = 22
LCM(88,66,109) = ( 88 × 66 × 109 ) / 22
LCM(88,66,109) = 633072 / 22
LCM(88,66,109) = 28776
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 136/88, 135/66, 350/109?
Answer: GCF of Numerators as per given numbers 136/88, 135/66, 350/109 is
GCF of Numerators i.e. for 136,135,350 is 1
LCM of denominators i.e. for 88,66,109 is 28776.
Thus, GCF of Fractions is 1/28776.Finally, GCF of Fractions for 136/88, 135/66, 350/109 is 1/28776.