Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/36,59/20,41/99,45/43
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 50,59,41,45
Greatest Common Factor of Numerators i.e. GCF of 50,59,41,45 is 1 .
LCM of Denominators means LCM of 36,20,99,43 as per the given fractions.
LCM of 36,20,99,43 is 85140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 50,59,41,45
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Greatest Common Factor
We found the factors 50,59,41,45 . The biggest common factor number is the GCF number.
So the greatest common factor 50,59,41,45 is 1.
Lets's calculate LCM of 36,20,99,43
2 | 36, 20, 99, 43 |
2 | 18, 10, 99, 43 |
3 | 9, 5, 99, 43 |
3 | 3, 5, 33, 43 |
1, 5, 11, 43 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 5 x 11 x 43 = 85140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85140
Therefore, the GCF of Fractions 50/36,59/20,41/99,45/43 is 1/85140
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 36,20,99,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,20,99,43) = 1
common factors(in case of two or more numbers have common factors) = 36
GCF(36,20,99,43) x common factors =1 x 36 = 36
LCM(36,20,99,43) = ( 36 × 20 × 99 × 43 ) / 36
LCM(36,20,99,43) = 3065040 / 36
LCM(36,20,99,43) = 85140
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 50/36, 59/20, 41/99, 45/43?
Answer: GCF of Numerators as per given numbers 50/36, 59/20, 41/99, 45/43 is
GCF of Numerators i.e. for 50,59,41,45 is 1
LCM of denominators i.e. for 36,20,99,43 is 85140.
Thus, GCF of Fractions is 1/85140.Finally, GCF of Fractions for 50/36, 59/20, 41/99, 45/43 is 1/85140.