Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/90,36/229,48/976
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 5,36,48
Greatest Common Factor of Numerators i.e. GCF of 5,36,48 is 1 .
LCM of Denominators means LCM of 90,229,976 as per the given fractions.
LCM of 90,229,976 is 10057680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,36,48
∴ 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 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Greatest Common Factor
We found the factors 5,36,48 . The biggest common factor number is the GCF number.
So the greatest common factor 5,36,48 is 1.
Lets's calculate LCM of 90,229,976
2 | 90, 229, 976 |
45, 229, 488 |
∴ So the LCM of the given numbers is 2 x 45 x 229 x 488 = 10057680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10057680
Therefore, the GCF of Fractions 5/90,36/229,48/976 is 1/10057680
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 90,229,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,229,976) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(90,229,976) x common factors =1 x 2 = 2
LCM(90,229,976) = ( 90 × 229 × 976 ) / 2
LCM(90,229,976) = 20115360 / 2
LCM(90,229,976) = 10057680
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 5/90, 36/229, 48/976?
Answer: GCF of Numerators as per given numbers 5/90, 36/229, 48/976 is
GCF of Numerators i.e. for 5,36,48 is 1
LCM of denominators i.e. for 90,229,976 is 10057680.
Thus, GCF of Fractions is 1/10057680.Finally, GCF of Fractions for 5/90, 36/229, 48/976 is 1/10057680.