Use our free GCF of Fractions Calculator tool to compute the GCF of 308/599, 302/212 i.e 2/126988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 308/599, 302/212.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 308/599,302/212
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 308/599,302/212, numerators are 308,302
Denominators are 599,212
The GCF of 308,302 is 2 .
LCM of 599,212 is 126988.
The greatest common factor of 308/599,302/212 = [GCF of 308,302]/[LCM of 599,212]= 2/126988
Therefore, the GCF of 308/599,302/212 is 2/126988.
To find the highest common factor of 308,302, we have to find the factors of both numbers and list the highest common factor.
The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
The factors of 302 are 1, 2, 151, 302
The HCF of 308,302 is 2.
Lets's calculate GCF of 308,302
2 | 308, 302 |
154, 151 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 308
:1,2,4,7,11,14,22,28,44,77,154,308
Now, list down the factors of 302
:1,2,151,302
Greatest Common Factor
We found the factors 308,302 . The biggest common factor number is the GCF number.
So the greatest common factor 308,302 is 2.
Lets's calculate LCM of 599,212
Given numbers has no common factors except 1. So, there LCM is their product i.e 126988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/126988
Therefore, the GCF of Fractions 308/599,302/212 is 2/126988
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 599,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,212) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,212) x common factors =1 x 1 = 1
LCM(599,212) = ( 599 × 212 ) / 1
LCM(599,212) = 126988 / 1
LCM(599,212) = 126988
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 308,302?
The HCF of 308,302 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 308/599, 302/212?
Answer: GCF of Numerators as per given numbers 308/599, 302/212 is
GCF of Numerators i.e. for 308,302 is 2
LCM of denominators i.e. for 599,212 is 126988.
Thus, GCF of Fractions is 2/126988.Finally, GCF of Fractions for 308/599, 302/212 is 2/126988.