Use our free GCF of Fractions Calculator tool to compute the GCF of 25/897, 16/704, 286/239 i.e 1/150925632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/897, 16/704, 286/239.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 25/897,16/704,286/239
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 25/897,16/704,286/239, numerators are 25,16,286
Denominators are 897,704,239
The GCF of 25,16,286 is 1 .
LCM of 897,704,239 is 150925632.
The greatest common factor of 25/897,16/704,286/239 = [GCF of 25,16,286]/[LCM of 897,704,239]= 1/150925632
Therefore, the GCF of 25/897,16/704,286/239 is 1/150925632.
To find the highest common factor of 25,16,286, 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 16 are 1, 2, 4, 8, 16
The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286
The HCF of 25,16,286 is 1.
Lets's calculate GCF of 25,16,286
∴ 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 16
:1,2,4,8,16
Now, list down the factors of 286
:1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 25,16,286 . The biggest common factor number is the GCF number.
So the greatest common factor 25,16,286 is 1.
Lets's calculate LCM of 897,704,239
Given numbers has no common factors except 1. So, there LCM is their product i.e 150925632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150925632
Therefore, the GCF of Fractions 25/897,16/704,286/239 is 1/150925632
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 897,704,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,704,239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(897,704,239) x common factors =1 x 1 = 1
LCM(897,704,239) = ( 897 × 704 × 239 ) / 1
LCM(897,704,239) = 150925632 / 1
LCM(897,704,239) = 150925632
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 25,16,286?
The HCF of 25,16,286 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 25/897, 16/704, 286/239?
Answer: GCF of Numerators as per given numbers 25/897, 16/704, 286/239 is
GCF of Numerators i.e. for 25,16,286 is 1
LCM of denominators i.e. for 897,704,239 is 150925632.
Thus, GCF of Fractions is 1/150925632.Finally, GCF of Fractions for 25/897, 16/704, 286/239 is 1/150925632.