Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/48,96/10,94/88,40/50
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 50,96,94,40
Greatest Common Factor of Numerators i.e. GCF of 50,96,94,40 is 2 .
LCM of Denominators means LCM of 48,10,88,50 as per the given fractions.
LCM of 48,10,88,50 is 13200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 50,96,94,40
2 | 50, 96, 94, 40 |
25, 48, 47, 20 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Greatest Common Factor
We found the factors 50,96,94,40 . The biggest common factor number is the GCF number.
So the greatest common factor 50,96,94,40 is 2.
Lets's calculate LCM of 48,10,88,50
2 | 48, 10, 88, 50 |
2 | 24, 5, 44, 25 |
2 | 12, 5, 22, 25 |
5 | 6, 5, 11, 25 |
6, 1, 11, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 6 x 1 x 11 x 5 = 13200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13200
Therefore, the GCF of Fractions 50/48,96/10,94/88,40/50 is 2/13200
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 48,10,88,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,10,88,50) = 2
common factors(in case of two or more numbers have common factors) = 80
GCF(48,10,88,50) x common factors =2 x 80 = 160
LCM(48,10,88,50) = ( 48 × 10 × 88 × 50 ) / 160
LCM(48,10,88,50) = 2112000 / 160
LCM(48,10,88,50) = 13200
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 50/48, 96/10, 94/88, 40/50?
Answer: GCF of Numerators as per given numbers 50/48, 96/10, 94/88, 40/50 is
GCF of Numerators i.e. for 50,96,94,40 is 2
LCM of denominators i.e. for 48,10,88,50 is 13200.
Thus, GCF of Fractions is 2/13200.Finally, GCF of Fractions for 50/48, 96/10, 94/88, 40/50 is 2/13200.