Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/13,2/32,65/16,28/541
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 5,2,65,28
Greatest Common Factor of Numerators i.e. GCF of 5,2,65,28 is 1 .
LCM of Denominators means LCM of 13,32,16,541 as per the given fractions.
LCM of 13,32,16,541 is 225056 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,2,65,28
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Greatest Common Factor
We found the factors 5,2,65,28 . The biggest common factor number is the GCF number.
So the greatest common factor 5,2,65,28 is 1.
Lets's calculate LCM of 13,32,16,541
2 | 13, 32, 16, 541 |
2 | 13, 16, 8, 541 |
2 | 13, 4, 8, 541 |
2 | 13, 2, 4, 541 |
13, 1, 2, 541 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 13 x 1 x 2 x 541 = 225056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/225056
Therefore, the GCF of Fractions 5/13,2/32,65/16,28/541 is 1/225056
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 13,32,16,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,32,16,541) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(13,32,16,541) x common factors =1 x 16 = 16
LCM(13,32,16,541) = ( 13 × 32 × 16 × 541 ) / 16
LCM(13,32,16,541) = 3600896 / 16
LCM(13,32,16,541) = 225056
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 5/13, 2/32, 65/16, 28/541?
Answer: GCF of Numerators as per given numbers 5/13, 2/32, 65/16, 28/541 is
GCF of Numerators i.e. for 5,2,65,28 is 1
LCM of denominators i.e. for 13,32,16,541 is 225056.
Thus, GCF of Fractions is 1/225056.Finally, GCF of Fractions for 5/13, 2/32, 65/16, 28/541 is 1/225056.