Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/50,44/531,424/988
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 48,44,424
Greatest Common Factor of Numerators i.e. GCF of 48,44,424 is 4 .
LCM of Denominators means LCM of 50,531,988 as per the given fractions.
LCM of 50,531,988 is 13115700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 48,44,424
2 | 48, 44, 424 |
2 | 24, 22, 212 |
12, 11, 106 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Greatest Common Factor
We found the factors 48,44,424 . The biggest common factor number is the GCF number.
So the greatest common factor 48,44,424 is 4.
Lets's calculate LCM of 50,531,988
2 | 50, 531, 988 |
25, 531, 494 |
∴ So the LCM of the given numbers is 2 x 25 x 531 x 494 = 13115700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/13115700
Therefore, the GCF of Fractions 48/50,44/531,424/988 is 4/13115700
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 50,531,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,531,988) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(50,531,988) x common factors =1 x 2 = 2
LCM(50,531,988) = ( 50 × 531 × 988 ) / 2
LCM(50,531,988) = 26231400 / 2
LCM(50,531,988) = 13115700
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 48/50, 44/531, 424/988?
Answer: GCF of Numerators as per given numbers 48/50, 44/531, 424/988 is
GCF of Numerators i.e. for 48,44,424 is 4
LCM of denominators i.e. for 50,531,988 is 13115700.
Thus, GCF of Fractions is 4/13115700.Finally, GCF of Fractions for 48/50, 44/531, 424/988 is 4/13115700.