Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/60,81/68,50/46,57/102
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 11,81,50,57
Greatest Common Factor of Numerators i.e. GCF of 11,81,50,57 is 1 .
LCM of Denominators means LCM of 60,68,46,102 as per the given fractions.
LCM of 60,68,46,102 is 23460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 11,81,50,57
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Greatest Common Factor
We found the factors 11,81,50,57 . The biggest common factor number is the GCF number.
So the greatest common factor 11,81,50,57 is 1.
Lets's calculate LCM of 60,68,46,102
2 | 60, 68, 46, 102 |
2 | 30, 34, 23, 51 |
3 | 15, 17, 23, 51 |
17 | 5, 17, 23, 17 |
5, 1, 23, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 5 x 1 x 23 x 1 = 23460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23460
Therefore, the GCF of Fractions 11/60,81/68,50/46,57/102 is 1/23460
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 60,68,46,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,68,46,102) = 2
common factors(in case of two or more numbers have common factors) = 408
GCF(60,68,46,102) x common factors =2 x 408 = 816
LCM(60,68,46,102) = ( 60 × 68 × 46 × 102 ) / 816
LCM(60,68,46,102) = 19143360 / 816
LCM(60,68,46,102) = 23460
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 11/60, 81/68, 50/46, 57/102?
Answer: GCF of Numerators as per given numbers 11/60, 81/68, 50/46, 57/102 is
GCF of Numerators i.e. for 11,81,50,57 is 1
LCM of denominators i.e. for 60,68,46,102 is 23460.
Thus, GCF of Fractions is 1/23460.Finally, GCF of Fractions for 11/60, 81/68, 50/46, 57/102 is 1/23460.