Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/724,281/934,974/809
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 27,281,974
Greatest Common Factor of Numerators i.e. GCF of 27,281,974 is 1 .
LCM of Denominators means LCM of 724,934,809 as per the given fractions.
LCM of 724,934,809 is 273529372 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,281,974
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 281
List of positive integer factors of 281 that divides 281 without a remainder.
1,281
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 27,281,974 . The biggest common factor number is the GCF number.
So the greatest common factor 27,281,974 is 1.
Lets's calculate LCM of 724,934,809
2 | 724, 934, 809 |
362, 467, 809 |
∴ So the LCM of the given numbers is 2 x 362 x 467 x 809 = 273529372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273529372
Therefore, the GCF of Fractions 27/724,281/934,974/809 is 1/273529372
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 724,934,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,934,809) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(724,934,809) x common factors =1 x 2 = 2
LCM(724,934,809) = ( 724 × 934 × 809 ) / 2
LCM(724,934,809) = 547058744 / 2
LCM(724,934,809) = 273529372
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 27/724, 281/934, 974/809?
Answer: GCF of Numerators as per given numbers 27/724, 281/934, 974/809 is
GCF of Numerators i.e. for 27,281,974 is 1
LCM of denominators i.e. for 724,934,809 is 273529372.
Thus, GCF of Fractions is 1/273529372.Finally, GCF of Fractions for 27/724, 281/934, 974/809 is 1/273529372.