Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/36,32/37,44/51,98/493
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 26,32,44,98
Greatest Common Factor of Numerators i.e. GCF of 26,32,44,98 is 2 .
LCM of Denominators means LCM of 36,37,51,493 as per the given fractions.
LCM of 36,37,51,493 is 656676 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 26,32,44,98
2 | 26, 32, 44, 98 |
13, 16, 22, 49 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Greatest Common Factor
We found the factors 26,32,44,98 . The biggest common factor number is the GCF number.
So the greatest common factor 26,32,44,98 is 2.
Lets's calculate LCM of 36,37,51,493
3 | 36, 37, 51, 493 |
17 | 12, 37, 17, 493 |
12, 37, 1, 29 |
∴ So the LCM of the given numbers is 3 x 17 x 12 x 37 x 1 x 29 = 656676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/656676
Therefore, the GCF of Fractions 26/36,32/37,44/51,98/493 is 2/656676
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 36,37,51,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,37,51,493) = 1
common factors(in case of two or more numbers have common factors) = 51
GCF(36,37,51,493) x common factors =1 x 51 = 51
LCM(36,37,51,493) = ( 36 × 37 × 51 × 493 ) / 51
LCM(36,37,51,493) = 33490476 / 51
LCM(36,37,51,493) = 656676
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 26/36, 32/37, 44/51, 98/493?
Answer: GCF of Numerators as per given numbers 26/36, 32/37, 44/51, 98/493 is
GCF of Numerators i.e. for 26,32,44,98 is 2
LCM of denominators i.e. for 36,37,51,493 is 656676.
Thus, GCF of Fractions is 2/656676.Finally, GCF of Fractions for 26/36, 32/37, 44/51, 98/493 is 2/656676.