Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 615/506,690/325,255/400
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 615,690,255
Greatest Common Factor of Numerators i.e. GCF of 615,690,255 is 15 .
LCM of Denominators means LCM of 506,325,400 as per the given fractions.
LCM of 506,325,400 is 1315600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 615,690,255
3 | 615, 690, 255 |
5 | 205, 230, 85 |
41, 46, 17 |
∴ So the GCF of the given numbers is 3 x 5 = 15
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 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 615,690,255 . The biggest common factor number is the GCF number.
So the greatest common factor 615,690,255 is 15.
Lets's calculate LCM of 506,325,400
2 | 506, 325, 400 |
5 | 253, 325, 200 |
5 | 253, 65, 40 |
253, 13, 8 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 253 x 13 x 8 = 1315600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1315600
Therefore, the GCF of Fractions 615/506,690/325,255/400 is 15/1315600
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 506,325,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,325,400) = 1
common factors(in case of two or more numbers have common factors) = 50
GCF(506,325,400) x common factors =1 x 50 = 50
LCM(506,325,400) = ( 506 × 325 × 400 ) / 50
LCM(506,325,400) = 65780000 / 50
LCM(506,325,400) = 1315600
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 615/506, 690/325, 255/400?
Answer: GCF of Numerators as per given numbers 615/506, 690/325, 255/400 is
GCF of Numerators i.e. for 615,690,255 is 15
LCM of denominators i.e. for 506,325,400 is 1315600.
Thus, GCF of Fractions is 15/1315600.Finally, GCF of Fractions for 615/506, 690/325, 255/400 is 15/1315600.