Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 89/55,78/15,81/35,427/36
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 89,78,81,427
Greatest Common Factor of Numerators i.e. GCF of 89,78,81,427 is 1 .
LCM of Denominators means LCM of 55,15,35,36 as per the given fractions.
LCM of 55,15,35,36 is 13860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 89,78,81,427
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 427
List of positive integer factors of 427 that divides 427 without a remainder.
1,7,61,427
Greatest Common Factor
We found the factors 89,78,81,427 . The biggest common factor number is the GCF number.
So the greatest common factor 89,78,81,427 is 1.
Lets's calculate LCM of 55,15,35,36
3 | 55, 15, 35, 36 |
5 | 55, 5, 35, 12 |
11, 1, 7, 12 |
∴ So the LCM of the given numbers is 3 x 5 x 11 x 1 x 7 x 12 = 13860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13860
Therefore, the GCF of Fractions 89/55,78/15,81/35,427/36 is 1/13860
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 55,15,35,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,15,35,36) = 1
common factors(in case of two or more numbers have common factors) = 75
GCF(55,15,35,36) x common factors =1 x 75 = 75
LCM(55,15,35,36) = ( 55 × 15 × 35 × 36 ) / 75
LCM(55,15,35,36) = 1039500 / 75
LCM(55,15,35,36) = 13860
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 89/55, 78/15, 81/35, 427/36?
Answer: GCF of Numerators as per given numbers 89/55, 78/15, 81/35, 427/36 is
GCF of Numerators i.e. for 89,78,81,427 is 1
LCM of denominators i.e. for 55,15,35,36 is 13860.
Thus, GCF of Fractions is 1/13860.Finally, GCF of Fractions for 89/55, 78/15, 81/35, 427/36 is 1/13860.