Use our free GCF of Fractions Calculator tool to compute the GCF of 374/519, 288/332 i.e 2/172308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 374/519, 288/332.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 374/519,288/332
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 374/519,288/332, numerators are 374,288
Denominators are 519,332
The GCF of 374,288 is 2 .
LCM of 519,332 is 172308.
The greatest common factor of 374/519,288/332 = [GCF of 374,288]/[LCM of 519,332]= 2/172308
Therefore, the GCF of 374/519,288/332 is 2/172308.
To find the highest common factor of 374,288, we have to find the factors of both numbers and list the highest common factor.
The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374
The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The HCF of 374,288 is 2.
Lets's calculate GCF of 374,288
2 | 374, 288 |
187, 144 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 374
:1,2,11,17,22,34,187,374
Now, list down the factors of 288
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 374,288 . The biggest common factor number is the GCF number.
So the greatest common factor 374,288 is 2.
Lets's calculate LCM of 519,332
Given numbers has no common factors except 1. So, there LCM is their product i.e 172308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/172308
Therefore, the GCF of Fractions 374/519,288/332 is 2/172308
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 519,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,332) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(519,332) x common factors =1 x 1 = 1
LCM(519,332) = ( 519 × 332 ) / 1
LCM(519,332) = 172308 / 1
LCM(519,332) = 172308
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 374,288?
The HCF of 374,288 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 374/519, 288/332?
Answer: GCF of Numerators as per given numbers 374/519, 288/332 is
GCF of Numerators i.e. for 374,288 is 2
LCM of denominators i.e. for 519,332 is 172308.
Thus, GCF of Fractions is 2/172308.Finally, GCF of Fractions for 374/519, 288/332 is 2/172308.