Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/450,47/813,974/303
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 93,47,974
Greatest Common Factor of Numerators i.e. GCF of 93,47,974 is 1 .
LCM of Denominators means LCM of 450,813,303 as per the given fractions.
LCM of 450,813,303 is 12316950 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 93,47,974
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Greatest Common Factor
We found the factors 93,47,974 . The biggest common factor number is the GCF number.
So the greatest common factor 93,47,974 is 1.
Lets's calculate LCM of 450,813,303
3 | 450, 813, 303 |
150, 271, 101 |
∴ So the LCM of the given numbers is 3 x 150 x 271 x 101 = 12316950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12316950
Therefore, the GCF of Fractions 93/450,47/813,974/303 is 1/12316950
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 450,813,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,813,303) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(450,813,303) x common factors =3 x 3 = 9
LCM(450,813,303) = ( 450 × 813 × 303 ) / 9
LCM(450,813,303) = 110852550 / 9
LCM(450,813,303) = 12316950
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 93/450, 47/813, 974/303?
Answer: GCF of Numerators as per given numbers 93/450, 47/813, 974/303 is
GCF of Numerators i.e. for 93,47,974 is 1
LCM of denominators i.e. for 450,813,303 is 12316950.
Thus, GCF of Fractions is 1/12316950.Finally, GCF of Fractions for 93/450, 47/813, 974/303 is 1/12316950.