Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 680/219,5923/612
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 680,5923
Greatest Common Factor of Numerators i.e. GCF of 680,5923 is 1 .
LCM of Denominators means LCM of 219,612 as per the given fractions.
LCM of 219,612 is 44676 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 680,5923
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Factors of 5923
List of positive integer factors of 5923 that divides 5923 without a remainder.
1,5923
Greatest Common Factor
We found the factors 680,5923 . The biggest common factor number is the GCF number.
So the greatest common factor 680,5923 is 1.
Lets's calculate LCM of 219,612
3 | 219, 612 |
73, 204 |
∴ So the LCM of the given numbers is 3 x 73 x 204 = 44676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44676
Therefore, the GCF of Fractions 680/219,5923/612 is 1/44676
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 219,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,612) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(219,612) x common factors =3 x 1 = 3
LCM(219,612) = ( 219 × 612 ) / 3
LCM(219,612) = 134028 / 3
LCM(219,612) = 44676
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 680/219, 5923/612?
Answer: GCF of Numerators as per given numbers 680/219, 5923/612 is
GCF of Numerators i.e. for 680,5923 is 1
LCM of denominators i.e. for 219,612 is 44676.
Thus, GCF of Fractions is 1/44676.Finally, GCF of Fractions for 680/219, 5923/612 is 1/44676.