Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/53,47/15,44/522,518/901
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 8,47,44,518
Greatest Common Factor of Numerators i.e. GCF of 8,47,44,518 is 1 .
LCM of Denominators means LCM of 53,15,522,901 as per the given fractions.
LCM of 53,15,522,901 is 2351610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,47,44,518
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 518
List of positive integer factors of 518 that divides 518 without a remainder.
1,2,7,14,37,74,259,518
Greatest Common Factor
We found the factors 8,47,44,518 . The biggest common factor number is the GCF number.
So the greatest common factor 8,47,44,518 is 1.
Lets's calculate LCM of 53,15,522,901
3 | 53, 15, 522, 901 |
53 | 53, 5, 174, 901 |
1, 5, 174, 17 |
∴ So the LCM of the given numbers is 3 x 53 x 1 x 5 x 174 x 17 = 2351610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2351610
Therefore, the GCF of Fractions 8/53,47/15,44/522,518/901 is 1/2351610
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 53,15,522,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,15,522,901) = 1
common factors(in case of two or more numbers have common factors) = 159
GCF(53,15,522,901) x common factors =1 x 159 = 159
LCM(53,15,522,901) = ( 53 × 15 × 522 × 901 ) / 159
LCM(53,15,522,901) = 373905990 / 159
LCM(53,15,522,901) = 2351610
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 8/53, 47/15, 44/522, 518/901?
Answer: GCF of Numerators as per given numbers 8/53, 47/15, 44/522, 518/901 is
GCF of Numerators i.e. for 8,47,44,518 is 1
LCM of denominators i.e. for 53,15,522,901 is 2351610.
Thus, GCF of Fractions is 1/2351610.Finally, GCF of Fractions for 8/53, 47/15, 44/522, 518/901 is 1/2351610.