Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 44/82,87/88,12/67,15/648
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 44,87,12,15
Greatest Common Factor of Numerators i.e. GCF of 44,87,12,15 is 1 .
LCM of Denominators means LCM of 82,88,67,648 as per the given fractions.
LCM of 82,88,67,648 is 19580616 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 44,87,12,15
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Greatest Common Factor
We found the factors 44,87,12,15 . The biggest common factor number is the GCF number.
So the greatest common factor 44,87,12,15 is 1.
Lets's calculate LCM of 82,88,67,648
2 | 82, 88, 67, 648 |
2 | 41, 44, 67, 324 |
2 | 41, 22, 67, 162 |
41, 11, 67, 81 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 41 x 11 x 67 x 81 = 19580616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19580616
Therefore, the GCF of Fractions 44/82,87/88,12/67,15/648 is 1/19580616
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 82,88,67,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,88,67,648) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(82,88,67,648) x common factors =1 x 16 = 16
LCM(82,88,67,648) = ( 82 × 88 × 67 × 648 ) / 16
LCM(82,88,67,648) = 313289856 / 16
LCM(82,88,67,648) = 19580616
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 44/82, 87/88, 12/67, 15/648?
Answer: GCF of Numerators as per given numbers 44/82, 87/88, 12/67, 15/648 is
GCF of Numerators i.e. for 44,87,12,15 is 1
LCM of denominators i.e. for 82,88,67,648 is 19580616.
Thus, GCF of Fractions is 1/19580616.Finally, GCF of Fractions for 44/82, 87/88, 12/67, 15/648 is 1/19580616.