Use our free GCF of Fractions Calculator tool to compute the GCF of 350/513, 232/318 i.e 2/54378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 350/513, 232/318.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 350/513,232/318
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 350/513,232/318, numerators are 350,232
Denominators are 513,318
The GCF of 350,232 is 2 .
LCM of 513,318 is 54378.
The greatest common factor of 350/513,232/318 = [GCF of 350,232]/[LCM of 513,318]= 2/54378
Therefore, the GCF of 350/513,232/318 is 2/54378.
To find the highest common factor of 350,232, we have to find the factors of both numbers and list the highest common factor.
The factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
The factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232
The HCF of 350,232 is 2.
Lets's calculate GCF of 350,232
2 | 350, 232 |
175, 116 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 350
:1,2,5,7,10,14,25,35,50,70,175,350
Now, list down the factors of 232
:1,2,4,8,29,58,116,232
Greatest Common Factor
We found the factors 350,232 . The biggest common factor number is the GCF number.
So the greatest common factor 350,232 is 2.
Lets's calculate LCM of 513,318
3 | 513, 318 |
171, 106 |
∴ So the LCM of the given numbers is 3 x 171 x 106 = 54378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54378
Therefore, the GCF of Fractions 350/513,232/318 is 2/54378
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 513,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,318) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(513,318) x common factors =3 x 1 = 3
LCM(513,318) = ( 513 × 318 ) / 3
LCM(513,318) = 163134 / 3
LCM(513,318) = 54378
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 350,232?
The HCF of 350,232 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 350/513, 232/318?
Answer: GCF of Numerators as per given numbers 350/513, 232/318 is
GCF of Numerators i.e. for 350,232 is 2
LCM of denominators i.e. for 513,318 is 54378.
Thus, GCF of Fractions is 2/54378.Finally, GCF of Fractions for 350/513, 232/318 is 2/54378.