Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/54,20/35,87/81,73/26
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 94,20,87,73
Greatest Common Factor of Numerators i.e. GCF of 94,20,87,73 is 1 .
LCM of Denominators means LCM of 54,35,81,26 as per the given fractions.
LCM of 54,35,81,26 is 73710 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 94,20,87,73
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Greatest Common Factor
We found the factors 94,20,87,73 . The biggest common factor number is the GCF number.
So the greatest common factor 94,20,87,73 is 1.
Lets's calculate LCM of 54,35,81,26
2 | 54, 35, 81, 26 |
3 | 27, 35, 81, 13 |
3 | 9, 35, 27, 13 |
3 | 3, 35, 9, 13 |
1, 35, 3, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 35 x 3 x 13 = 73710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73710
Therefore, the GCF of Fractions 94/54,20/35,87/81,73/26 is 1/73710
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 54,35,81,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,35,81,26) = 1
common factors(in case of two or more numbers have common factors) = 54
GCF(54,35,81,26) x common factors =1 x 54 = 54
LCM(54,35,81,26) = ( 54 × 35 × 81 × 26 ) / 54
LCM(54,35,81,26) = 3980340 / 54
LCM(54,35,81,26) = 73710
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 94/54, 20/35, 87/81, 73/26?
Answer: GCF of Numerators as per given numbers 94/54, 20/35, 87/81, 73/26 is
GCF of Numerators i.e. for 94,20,87,73 is 1
LCM of denominators i.e. for 54,35,81,26 is 73710.
Thus, GCF of Fractions is 1/73710.Finally, GCF of Fractions for 94/54, 20/35, 87/81, 73/26 is 1/73710.