Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/89,65/33,45/51,58/586
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 13,65,45,58
Greatest Common Factor of Numerators i.e. GCF of 13,65,45,58 is 1 .
LCM of Denominators means LCM of 89,33,51,586 as per the given fractions.
LCM of 89,33,51,586 is 29258394 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 13,65,45,58
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Greatest Common Factor
We found the factors 13,65,45,58 . The biggest common factor number is the GCF number.
So the greatest common factor 13,65,45,58 is 1.
Lets's calculate LCM of 89,33,51,586
3 | 89, 33, 51, 586 |
89, 11, 17, 586 |
∴ So the LCM of the given numbers is 3 x 89 x 11 x 17 x 586 = 29258394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29258394
Therefore, the GCF of Fractions 13/89,65/33,45/51,58/586 is 1/29258394
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 89,33,51,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,33,51,586) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(89,33,51,586) x common factors =1 x 3 = 3
LCM(89,33,51,586) = ( 89 × 33 × 51 × 586 ) / 3
LCM(89,33,51,586) = 87775182 / 3
LCM(89,33,51,586) = 29258394
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 13/89, 65/33, 45/51, 58/586?
Answer: GCF of Numerators as per given numbers 13/89, 65/33, 45/51, 58/586 is
GCF of Numerators i.e. for 13,65,45,58 is 1
LCM of denominators i.e. for 89,33,51,586 is 29258394.
Thus, GCF of Fractions is 1/29258394.Finally, GCF of Fractions for 13/89, 65/33, 45/51, 58/586 is 1/29258394.