Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 55/13,28/82,44/27,86/65
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 55,28,44,86
Greatest Common Factor of Numerators i.e. GCF of 55,28,44,86 is 1 .
LCM of Denominators means LCM of 13,82,27,65 as per the given fractions.
LCM of 13,82,27,65 is 143910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 55,28,44,86
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Greatest Common Factor
We found the factors 55,28,44,86 . The biggest common factor number is the GCF number.
So the greatest common factor 55,28,44,86 is 1.
Lets's calculate LCM of 13,82,27,65
13 | 13, 82, 27, 65 |
1, 82, 27, 5 |
∴ So the LCM of the given numbers is 13 x 1 x 82 x 27 x 5 = 143910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143910
Therefore, the GCF of Fractions 55/13,28/82,44/27,86/65 is 1/143910
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 13,82,27,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,82,27,65) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(13,82,27,65) x common factors =1 x 13 = 13
LCM(13,82,27,65) = ( 13 × 82 × 27 × 65 ) / 13
LCM(13,82,27,65) = 1870830 / 13
LCM(13,82,27,65) = 143910
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 55/13, 28/82, 44/27, 86/65?
Answer: GCF of Numerators as per given numbers 55/13, 28/82, 44/27, 86/65 is
GCF of Numerators i.e. for 55,28,44,86 is 1
LCM of denominators i.e. for 13,82,27,65 is 143910.
Thus, GCF of Fractions is 1/143910.Finally, GCF of Fractions for 55/13, 28/82, 44/27, 86/65 is 1/143910.