Use our free GCF of Fractions Calculator tool to compute the GCF of 630/223, 195/228 i.e 15/50844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 630/223, 195/228.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 630/223,195/228
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 630/223,195/228, numerators are 630,195
Denominators are 223,228
The GCF of 630,195 is 15 .
LCM of 223,228 is 50844.
The greatest common factor of 630/223,195/228 = [GCF of 630,195]/[LCM of 223,228]= 15/50844
Therefore, the GCF of 630/223,195/228 is 15/50844.
To find the highest common factor of 630,195, we have to find the factors of both numbers and list the highest common factor.
The factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
The factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195
The HCF of 630,195 is 15.
Lets's calculate GCF of 630,195
3 | 630, 195 |
5 | 210, 65 |
42, 13 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Now, list down the factors of 630
:1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Now, list down the factors of 195
:1,3,5,13,15,39,65,195
Greatest Common Factor
We found the factors 630,195 . The biggest common factor number is the GCF number.
So the greatest common factor 630,195 is 15.
Lets's calculate LCM of 223,228
Given numbers has no common factors except 1. So, there LCM is their product i.e 50844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/50844
Therefore, the GCF of Fractions 630/223,195/228 is 15/50844
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 223,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(223,228) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(223,228) x common factors =1 x 1 = 1
LCM(223,228) = ( 223 × 228 ) / 1
LCM(223,228) = 50844 / 1
LCM(223,228) = 50844
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 630,195?
The HCF of 630,195 is 15
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 630/223, 195/228?
Answer: GCF of Numerators as per given numbers 630/223, 195/228 is
GCF of Numerators i.e. for 630,195 is 15
LCM of denominators i.e. for 223,228 is 50844.
Thus, GCF of Fractions is 15/50844.Finally, GCF of Fractions for 630/223, 195/228 is 15/50844.