Use our free GCF of Fractions Calculator tool to compute the GCF of 224/146, 502/313 i.e 2/45698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 224/146, 502/313.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 224/146,502/313
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 224/146,502/313, numerators are 224,502
Denominators are 146,313
The GCF of 224,502 is 2 .
LCM of 146,313 is 45698.
The greatest common factor of 224/146,502/313 = [GCF of 224,502]/[LCM of 146,313]= 2/45698
Therefore, the GCF of 224/146,502/313 is 2/45698.
To find the highest common factor of 224,502, we have to find the factors of both numbers and list the highest common factor.
The factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
The factors of 502 are 1, 2, 251, 502
The HCF of 224,502 is 2.
Lets's calculate GCF of 224,502
2 | 224, 502 |
112, 251 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 224
:1,2,4,7,8,14,16,28,32,56,112,224
Now, list down the factors of 502
:1,2,251,502
Greatest Common Factor
We found the factors 224,502 . The biggest common factor number is the GCF number.
So the greatest common factor 224,502 is 2.
Lets's calculate LCM of 146,313
Given numbers has no common factors except 1. So, there LCM is their product i.e 45698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45698
Therefore, the GCF of Fractions 224/146,502/313 is 2/45698
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 146,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(146,313) x common factors =1 x 1 = 1
LCM(146,313) = ( 146 × 313 ) / 1
LCM(146,313) = 45698 / 1
LCM(146,313) = 45698
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 224,502?
The HCF of 224,502 is 2
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 224/146, 502/313?
Answer: GCF of Numerators as per given numbers 224/146, 502/313 is
GCF of Numerators i.e. for 224,502 is 2
LCM of denominators i.e. for 146,313 is 45698.
Thus, GCF of Fractions is 2/45698.Finally, GCF of Fractions for 224/146, 502/313 is 2/45698.