Use our free GCF of Fractions Calculator tool to compute the GCF of 28/765, 67/986, 255/638 i.e 1/488070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/765, 67/986, 255/638.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 28/765,67/986,255/638
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 28/765,67/986,255/638, numerators are 28,67,255
Denominators are 765,986,638
The GCF of 28,67,255 is 1 .
LCM of 765,986,638 is 488070.
The greatest common factor of 28/765,67/986,255/638 = [GCF of 28,67,255]/[LCM of 765,986,638]= 1/488070
Therefore, the GCF of 28/765,67/986,255/638 is 1/488070.
To find the highest common factor of 28,67,255, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 67 are 1, 67
The factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255
The HCF of 28,67,255 is 1.
Lets's calculate GCF of 28,67,255
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 67
:1,67
Now, list down the factors of 255
:1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 28,67,255 . The biggest common factor number is the GCF number.
So the greatest common factor 28,67,255 is 1.
Lets's calculate LCM of 765,986,638
2 | 765, 986, 638 |
17 | 765, 493, 319 |
29 | 45, 29, 319 |
45, 1, 11 |
∴ So the LCM of the given numbers is 2 x 17 x 29 x 45 x 1 x 11 = 488070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/488070
Therefore, the GCF of Fractions 28/765,67/986,255/638 is 1/488070
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 765,986,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,986,638) = 1
common factors(in case of two or more numbers have common factors) = 986
GCF(765,986,638) x common factors =1 x 986 = 986
LCM(765,986,638) = ( 765 × 986 × 638 ) / 986
LCM(765,986,638) = 481237020 / 986
LCM(765,986,638) = 488070
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 28,67,255?
The HCF of 28,67,255 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 28/765, 67/986, 255/638?
Answer: GCF of Numerators as per given numbers 28/765, 67/986, 255/638 is
GCF of Numerators i.e. for 28,67,255 is 1
LCM of denominators i.e. for 765,986,638 is 488070.
Thus, GCF of Fractions is 1/488070.Finally, GCF of Fractions for 28/765, 67/986, 255/638 is 1/488070.