Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 16/44,26/66,91/81,87/804
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 16,26,91,87
Greatest Common Factor of Numerators i.e. GCF of 16,26,91,87 is 1 .
LCM of Denominators means LCM of 44,66,81,804 as per the given fractions.
LCM of 44,66,81,804 is 238788 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 16,26,91,87
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Greatest Common Factor
We found the factors 16,26,91,87 . The biggest common factor number is the GCF number.
So the greatest common factor 16,26,91,87 is 1.
Lets's calculate LCM of 44,66,81,804
2 | 44, 66, 81, 804 |
2 | 22, 33, 81, 402 |
3 | 11, 33, 81, 201 |
11 | 11, 11, 27, 67 |
1, 1, 27, 67 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 1 x 1 x 27 x 67 = 238788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238788
Therefore, the GCF of Fractions 16/44,26/66,91/81,87/804 is 1/238788
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 44,66,81,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,66,81,804) = 1
common factors(in case of two or more numbers have common factors) = 792
GCF(44,66,81,804) x common factors =1 x 792 = 792
LCM(44,66,81,804) = ( 44 × 66 × 81 × 804 ) / 792
LCM(44,66,81,804) = 189120096 / 792
LCM(44,66,81,804) = 238788
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 16/44, 26/66, 91/81, 87/804?
Answer: GCF of Numerators as per given numbers 16/44, 26/66, 91/81, 87/804 is
GCF of Numerators i.e. for 16,26,91,87 is 1
LCM of denominators i.e. for 44,66,81,804 is 238788.
Thus, GCF of Fractions is 1/238788.Finally, GCF of Fractions for 16/44, 26/66, 91/81, 87/804 is 1/238788.