Use our free GCF of Fractions Calculator tool to compute the GCF of 255/624, 328/240 i.e 1/3120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 255/624, 328/240.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 255/624,328/240
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 255/624,328/240, numerators are 255,328
Denominators are 624,240
The GCF of 255,328 is 1 .
LCM of 624,240 is 3120.
The greatest common factor of 255/624,328/240 = [GCF of 255,328]/[LCM of 624,240]= 1/3120
Therefore, the GCF of 255/624,328/240 is 1/3120.
To find the highest common factor of 255,328, we have to find the factors of both numbers and list the highest common factor.
The factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255
The factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328
The HCF of 255,328 is 1.
Lets's calculate GCF of 255,328
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 255
:1,3,5,15,17,51,85,255
Now, list down the factors of 328
:1,2,4,8,41,82,164,328
Greatest Common Factor
We found the factors 255,328 . The biggest common factor number is the GCF number.
So the greatest common factor 255,328 is 1.
Lets's calculate LCM of 624,240
2 | 624, 240 |
2 | 312, 120 |
2 | 156, 60 |
2 | 78, 30 |
3 | 39, 15 |
13, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 13 x 5 = 3120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3120
Therefore, the GCF of Fractions 255/624,328/240 is 1/3120
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 624,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,240) = 48
common factors(in case of two or more numbers have common factors) = 1
GCF(624,240) x common factors =48 x 1 = 48
LCM(624,240) = ( 624 × 240 ) / 48
LCM(624,240) = 149760 / 48
LCM(624,240) = 3120
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 255,328?
The HCF of 255,328 is 1
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 255/624, 328/240?
Answer: GCF of Numerators as per given numbers 255/624, 328/240 is
GCF of Numerators i.e. for 255,328 is 1
LCM of denominators i.e. for 624,240 is 3120.
Thus, GCF of Fractions is 1/3120.Finally, GCF of Fractions for 255/624, 328/240 is 1/3120.