Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 44/28,26/65,150/756
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 44,26,150
Greatest Common Factor of Numerators i.e. GCF of 44,26,150 is 2 .
LCM of Denominators means LCM of 28,65,756 as per the given fractions.
LCM of 28,65,756 is 49140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 44,26,150
2 | 44, 26, 150 |
22, 13, 75 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 44,26,150 . The biggest common factor number is the GCF number.
So the greatest common factor 44,26,150 is 2.
Lets's calculate LCM of 28,65,756
2 | 28, 65, 756 |
2 | 14, 65, 378 |
7 | 7, 65, 189 |
1, 65, 27 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 65 x 27 = 49140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49140
Therefore, the GCF of Fractions 44/28,26/65,150/756 is 2/49140
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 28,65,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,65,756) = 1
common factors(in case of two or more numbers have common factors) = 28
GCF(28,65,756) x common factors =1 x 28 = 28
LCM(28,65,756) = ( 28 × 65 × 756 ) / 28
LCM(28,65,756) = 1375920 / 28
LCM(28,65,756) = 49140
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 44/28, 26/65, 150/756?
Answer: GCF of Numerators as per given numbers 44/28, 26/65, 150/756 is
GCF of Numerators i.e. for 44,26,150 is 2
LCM of denominators i.e. for 28,65,756 is 49140.
Thus, GCF of Fractions is 2/49140.Finally, GCF of Fractions for 44/28, 26/65, 150/756 is 2/49140.