Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/88,28/65,81/33,31/958
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 86,28,81,31
Greatest Common Factor of Numerators i.e. GCF of 86,28,81,31 is 1 .
LCM of Denominators means LCM of 88,65,33,958 as per the given fractions.
LCM of 88,65,33,958 is 8219640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 86,28,81,31
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Greatest Common Factor
We found the factors 86,28,81,31 . The biggest common factor number is the GCF number.
So the greatest common factor 86,28,81,31 is 1.
Lets's calculate LCM of 88,65,33,958
2 | 88, 65, 33, 958 |
11 | 44, 65, 33, 479 |
4, 65, 3, 479 |
∴ So the LCM of the given numbers is 2 x 11 x 4 x 65 x 3 x 479 = 8219640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8219640
Therefore, the GCF of Fractions 86/88,28/65,81/33,31/958 is 1/8219640
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 88,65,33,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,65,33,958) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(88,65,33,958) x common factors =1 x 22 = 22
LCM(88,65,33,958) = ( 88 × 65 × 33 × 958 ) / 22
LCM(88,65,33,958) = 180832080 / 22
LCM(88,65,33,958) = 8219640
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 86/88, 28/65, 81/33, 31/958?
Answer: GCF of Numerators as per given numbers 86/88, 28/65, 81/33, 31/958 is
GCF of Numerators i.e. for 86,28,81,31 is 1
LCM of denominators i.e. for 88,65,33,958 is 8219640.
Thus, GCF of Fractions is 1/8219640.Finally, GCF of Fractions for 86/88, 28/65, 81/33, 31/958 is 1/8219640.