Use our free GCF of Fractions Calculator tool to compute the GCF of 151/765, 727/510 i.e 1/1530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 151/765, 727/510.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 151/765,727/510
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 151/765,727/510, numerators are 151,727
Denominators are 765,510
The GCF of 151,727 is 1 .
LCM of 765,510 is 1530.
The greatest common factor of 151/765,727/510 = [GCF of 151,727]/[LCM of 765,510]= 1/1530
Therefore, the GCF of 151/765,727/510 is 1/1530.
To find the highest common factor of 151,727, we have to find the factors of both numbers and list the highest common factor.
The factors of 151 are 1, 151
The factors of 727 are 1, 727
The HCF of 151,727 is 1.
Lets's calculate GCF of 151,727
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 151
:1,151
Now, list down the factors of 727
:1,727
Greatest Common Factor
We found the factors 151,727 . The biggest common factor number is the GCF number.
So the greatest common factor 151,727 is 1.
Lets's calculate LCM of 765,510
3 | 765, 510 |
5 | 255, 170 |
17 | 51, 34 |
3, 2 |
∴ So the LCM of the given numbers is 3 x 5 x 17 x 3 x 2 = 1530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1530
Therefore, the GCF of Fractions 151/765,727/510 is 1/1530
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 765,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,510) = 255
common factors(in case of two or more numbers have common factors) = 1
GCF(765,510) x common factors =255 x 1 = 255
LCM(765,510) = ( 765 × 510 ) / 255
LCM(765,510) = 390150 / 255
LCM(765,510) = 1530
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 151,727?
The HCF of 151,727 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 151/765, 727/510?
Answer: GCF of Numerators as per given numbers 151/765, 727/510 is
GCF of Numerators i.e. for 151,727 is 1
LCM of denominators i.e. for 765,510 is 1530.
Thus, GCF of Fractions is 1/1530.Finally, GCF of Fractions for 151/765, 727/510 is 1/1530.