Use our free GCF of Fractions Calculator tool to compute the GCF of 145/717, 920/205 i.e 5/146985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 145/717, 920/205.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 145/717,920/205
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 145/717,920/205, numerators are 145,920
Denominators are 717,205
The GCF of 145,920 is 5 .
LCM of 717,205 is 146985.
The greatest common factor of 145/717,920/205 = [GCF of 145,920]/[LCM of 717,205]= 5/146985
Therefore, the GCF of 145/717,920/205 is 5/146985.
To find the highest common factor of 145,920, 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 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
The HCF of 145,920 is 5.
Lets's calculate GCF of 145,920
5 | 145, 920 |
29, 184 |
∴ 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 920
:1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Greatest Common Factor
We found the factors 145,920 . The biggest common factor number is the GCF number.
So the greatest common factor 145,920 is 5.
Lets's calculate LCM of 717,205
Given numbers has no common factors except 1. So, there LCM is their product i.e 146985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/146985
Therefore, the GCF of Fractions 145/717,920/205 is 5/146985
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 717,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(717,205) x common factors =1 x 1 = 1
LCM(717,205) = ( 717 × 205 ) / 1
LCM(717,205) = 146985 / 1
LCM(717,205) = 146985
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 145,920?
The HCF of 145,920 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 145/717, 920/205?
Answer: GCF of Numerators as per given numbers 145/717, 920/205 is
GCF of Numerators i.e. for 145,920 is 5
LCM of denominators i.e. for 717,205 is 146985.
Thus, GCF of Fractions is 5/146985.Finally, GCF of Fractions for 145/717, 920/205 is 5/146985.