Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 638/18,615/36,680/229
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 638,615,680
Greatest Common Factor of Numerators i.e. GCF of 638,615,680 is 1 .
LCM of Denominators means LCM of 18,36,229 as per the given fractions.
LCM of 18,36,229 is 8244 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 638,615,680
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
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
Greatest Common Factor
We found the factors 638,615,680 . The biggest common factor number is the GCF number.
So the greatest common factor 638,615,680 is 1.
Lets's calculate LCM of 18,36,229
2 | 18, 36, 229 |
3 | 9, 18, 229 |
3 | 3, 6, 229 |
1, 2, 229 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 2 x 229 = 8244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8244
Therefore, the GCF of Fractions 638/18,615/36,680/229 is 1/8244
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 18,36,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,36,229) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(18,36,229) x common factors =1 x 18 = 18
LCM(18,36,229) = ( 18 × 36 × 229 ) / 18
LCM(18,36,229) = 148392 / 18
LCM(18,36,229) = 8244
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 638/18, 615/36, 680/229?
Answer: GCF of Numerators as per given numbers 638/18, 615/36, 680/229 is
GCF of Numerators i.e. for 638,615,680 is 1
LCM of denominators i.e. for 18,36,229 is 8244.
Thus, GCF of Fractions is 1/8244.Finally, GCF of Fractions for 638/18, 615/36, 680/229 is 1/8244.