Use our free GCF of Fractions Calculator tool to compute the GCF of 145/911, 510/283 i.e 5/257813 easily. The following is the detailed procedure to determine the greatest common factor of fractions 145/911, 510/283.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 145/911,510/283
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 145/911,510/283, numerators are 145,510
Denominators are 911,283
The GCF of 145,510 is 5 .
LCM of 911,283 is 257813.
The greatest common factor of 145/911,510/283 = [GCF of 145,510]/[LCM of 911,283]= 5/257813
Therefore, the GCF of 145/911,510/283 is 5/257813.
To find the highest common factor of 145,510, we have to find the factors of both numbers and list the highest common factor.
The factors of 145 are 1, 5, 29, 145
The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
The HCF of 145,510 is 5.
Lets's calculate GCF of 145,510
5 | 145, 510 |
29, 102 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 145
:1,5,29,145
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 145,510 . The biggest common factor number is the GCF number.
So the greatest common factor 145,510 is 5.
Lets's calculate LCM of 911,283
Given numbers has no common factors except 1. So, there LCM is their product i.e 257813
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/257813
Therefore, the GCF of Fractions 145/911,510/283 is 5/257813
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 911,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(911,283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(911,283) x common factors =1 x 1 = 1
LCM(911,283) = ( 911 × 283 ) / 1
LCM(911,283) = 257813 / 1
LCM(911,283) = 257813
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 145,510?
The HCF of 145,510 is 5
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 145/911, 510/283?
Answer: GCF of Numerators as per given numbers 145/911, 510/283 is
GCF of Numerators i.e. for 145,510 is 5
LCM of denominators i.e. for 911,283 is 257813.
Thus, GCF of Fractions is 5/257813.Finally, GCF of Fractions for 145/911, 510/283 is 5/257813.