Use our free GCF of Fractions Calculator tool to compute the GCF of 230/337, 200/895 i.e 10/301615 easily. The following is the detailed procedure to determine the greatest common factor of fractions 230/337, 200/895.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 230/337,200/895
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 230/337,200/895, numerators are 230,200
Denominators are 337,895
The GCF of 230,200 is 10 .
LCM of 337,895 is 301615.
The greatest common factor of 230/337,200/895 = [GCF of 230,200]/[LCM of 337,895]= 10/301615
Therefore, the GCF of 230/337,200/895 is 10/301615.
To find the highest common factor of 230,200, we have to find the factors of both numbers and list the highest common factor.
The factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230
The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
The HCF of 230,200 is 10.
Lets's calculate GCF of 230,200
2 | 230, 200 |
5 | 115, 100 |
23, 20 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 230
:1,2,5,10,23,46,115,230
Now, list down the factors of 200
:1,2,4,5,8,10,20,25,40,50,100,200
Greatest Common Factor
We found the factors 230,200 . The biggest common factor number is the GCF number.
So the greatest common factor 230,200 is 10.
Lets's calculate LCM of 337,895
Given numbers has no common factors except 1. So, there LCM is their product i.e 301615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/301615
Therefore, the GCF of Fractions 230/337,200/895 is 10/301615
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 337,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,895) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,895) x common factors =1 x 1 = 1
LCM(337,895) = ( 337 × 895 ) / 1
LCM(337,895) = 301615 / 1
LCM(337,895) = 301615
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 230,200?
The HCF of 230,200 is 10
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 230/337, 200/895?
Answer: GCF of Numerators as per given numbers 230/337, 200/895 is
GCF of Numerators i.e. for 230,200 is 10
LCM of denominators i.e. for 337,895 is 301615.
Thus, GCF of Fractions is 10/301615.Finally, GCF of Fractions for 230/337, 200/895 is 10/301615.