Use our free GCF of Fractions Calculator tool to compute the GCF of 86/245, 205/245, 629/960 i.e 1/47040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/245, 205/245, 629/960.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/245,205/245,629/960
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 86/245,205/245,629/960, numerators are 86,205,629
Denominators are 245,245,960
The GCF of 86,205,629 is 1 .
LCM of 245,245,960 is 47040.
The greatest common factor of 86/245,205/245,629/960 = [GCF of 86,205,629]/[LCM of 245,245,960]= 1/47040
Therefore, the GCF of 86/245,205/245,629/960 is 1/47040.
To find the highest common factor of 86,205,629, we have to find the factors of both numbers and list the highest common factor.
The factors of 86 are 1, 2, 43, 86
The factors of 205 are 1, 5, 41, 205
The factors of 629 are 1, 17, 37, 629
The HCF of 86,205,629 is 1.
Lets's calculate GCF of 86,205,629
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 205
:1,5,41,205
Now, list down the factors of 629
:1,17,37,629
Greatest Common Factor
We found the factors 86,205,629 . The biggest common factor number is the GCF number.
So the greatest common factor 86,205,629 is 1.
Lets's calculate LCM of 245,245,960
5 | 245, 245, 960 |
7 | 49, 49, 192 |
7 | 7, 7, 192 |
1, 1, 192 |
∴ So the LCM of the given numbers is 5 x 7 x 7 x 1 x 1 x 192 = 47040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47040
Therefore, the GCF of Fractions 86/245,205/245,629/960 is 1/47040
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 245,245,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,245,960) = 5
common factors(in case of two or more numbers have common factors) = 245
GCF(245,245,960) x common factors =5 x 245 = 1225
LCM(245,245,960) = ( 245 × 245 × 960 ) / 1225
LCM(245,245,960) = 57624000 / 1225
LCM(245,245,960) = 47040
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 86,205,629?
The HCF of 86,205,629 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 86/245, 205/245, 629/960?
Answer: GCF of Numerators as per given numbers 86/245, 205/245, 629/960 is
GCF of Numerators i.e. for 86,205,629 is 1
LCM of denominators i.e. for 245,245,960 is 47040.
Thus, GCF of Fractions is 1/47040.Finally, GCF of Fractions for 86/245, 205/245, 629/960 is 1/47040.