Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 89/59,15/88,19/51,20/649
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 89,15,19,20
Greatest Common Factor of Numerators i.e. GCF of 89,15,19,20 is 1 .
LCM of Denominators means LCM of 59,88,51,649 as per the given fractions.
LCM of 59,88,51,649 is 264792 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 89,15,19,20
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Greatest Common Factor
We found the factors 89,15,19,20 . The biggest common factor number is the GCF number.
So the greatest common factor 89,15,19,20 is 1.
Lets's calculate LCM of 59,88,51,649
11 | 59, 88, 51, 649 |
59 | 59, 8, 51, 59 |
1, 8, 51, 1 |
∴ So the LCM of the given numbers is 11 x 59 x 1 x 8 x 51 x 1 = 264792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/264792
Therefore, the GCF of Fractions 89/59,15/88,19/51,20/649 is 1/264792
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 59,88,51,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,88,51,649) = 1
common factors(in case of two or more numbers have common factors) = 649
GCF(59,88,51,649) x common factors =1 x 649 = 649
LCM(59,88,51,649) = ( 59 × 88 × 51 × 649 ) / 649
LCM(59,88,51,649) = 171850008 / 649
LCM(59,88,51,649) = 264792
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 89/59, 15/88, 19/51, 20/649?
Answer: GCF of Numerators as per given numbers 89/59, 15/88, 19/51, 20/649 is
GCF of Numerators i.e. for 89,15,19,20 is 1
LCM of denominators i.e. for 59,88,51,649 is 264792.
Thus, GCF of Fractions is 1/264792.Finally, GCF of Fractions for 89/59, 15/88, 19/51, 20/649 is 1/264792.