Use our free GCF of Fractions Calculator tool to compute the GCF of 25/589, 81/200, 709/104 i.e 1/1531400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/589, 81/200, 709/104.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 25/589,81/200,709/104
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 25/589,81/200,709/104, numerators are 25,81,709
Denominators are 589,200,104
The GCF of 25,81,709 is 1 .
LCM of 589,200,104 is 1531400.
The greatest common factor of 25/589,81/200,709/104 = [GCF of 25,81,709]/[LCM of 589,200,104]= 1/1531400
Therefore, the GCF of 25/589,81/200,709/104 is 1/1531400.
To find the highest common factor of 25,81,709, we have to find the factors of both numbers and list the highest common factor.
The factors of 25 are 1, 5, 25
The factors of 81 are 1, 3, 9, 27, 81
The factors of 709 are 1, 709
The HCF of 25,81,709 is 1.
Lets's calculate GCF of 25,81,709
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 25
:1,5,25
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 709
:1,709
Greatest Common Factor
We found the factors 25,81,709 . The biggest common factor number is the GCF number.
So the greatest common factor 25,81,709 is 1.
Lets's calculate LCM of 589,200,104
2 | 589, 200, 104 |
2 | 589, 100, 52 |
2 | 589, 50, 26 |
589, 25, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 589 x 25 x 13 = 1531400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1531400
Therefore, the GCF of Fractions 25/589,81/200,709/104 is 1/1531400
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 589,200,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,200,104) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(589,200,104) x common factors =1 x 8 = 8
LCM(589,200,104) = ( 589 × 200 × 104 ) / 8
LCM(589,200,104) = 12251200 / 8
LCM(589,200,104) = 1531400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 25,81,709?
The HCF of 25,81,709 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 25/589, 81/200, 709/104?
Answer: GCF of Numerators as per given numbers 25/589, 81/200, 709/104 is
GCF of Numerators i.e. for 25,81,709 is 1
LCM of denominators i.e. for 589,200,104 is 1531400.
Thus, GCF of Fractions is 1/1531400.Finally, GCF of Fractions for 25/589, 81/200, 709/104 is 1/1531400.