Use our free GCF of Fractions Calculator tool to compute the GCF of 474/255, 510/587 i.e 6/149685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 474/255, 510/587.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 474/255,510/587
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 474/255,510/587, numerators are 474,510
Denominators are 255,587
The GCF of 474,510 is 6 .
LCM of 255,587 is 149685.
The greatest common factor of 474/255,510/587 = [GCF of 474,510]/[LCM of 255,587]= 6/149685
Therefore, the GCF of 474/255,510/587 is 6/149685.
To find the highest common factor of 474,510, we have to find the factors of both numbers and list the highest common factor.
The factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474
The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
The HCF of 474,510 is 6.
Lets's calculate GCF of 474,510
2 | 474, 510 |
3 | 237, 255 |
79, 85 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 474
:1,2,3,6,79,158,237,474
Now, list down the factors of 510
:1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Greatest Common Factor
We found the factors 474,510 . The biggest common factor number is the GCF number.
So the greatest common factor 474,510 is 6.
Lets's calculate LCM of 255,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 149685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/149685
Therefore, the GCF of Fractions 474/255,510/587 is 6/149685
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 255,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(255,587) x common factors =1 x 1 = 1
LCM(255,587) = ( 255 × 587 ) / 1
LCM(255,587) = 149685 / 1
LCM(255,587) = 149685
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 474,510?
The HCF of 474,510 is 6
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 474/255, 510/587?
Answer: GCF of Numerators as per given numbers 474/255, 510/587 is
GCF of Numerators i.e. for 474,510 is 6
LCM of denominators i.e. for 255,587 is 149685.
Thus, GCF of Fractions is 6/149685.Finally, GCF of Fractions for 474/255, 510/587 is 6/149685.