Use our free GCF of Fractions Calculator tool to compute the GCF of 25/41, 167/91, 895/863 i.e 1/3219853 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/41, 167/91, 895/863.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 25/41,167/91,895/863
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 25/41,167/91,895/863, numerators are 25,167,895
Denominators are 41,91,863
The GCF of 25,167,895 is 1 .
LCM of 41,91,863 is 3219853.
The greatest common factor of 25/41,167/91,895/863 = [GCF of 25,167,895]/[LCM of 41,91,863]= 1/3219853
Therefore, the GCF of 25/41,167/91,895/863 is 1/3219853.
To find the highest common factor of 25,167,895, 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 167 are 1, 167
The factors of 895 are 1, 5, 179, 895
The HCF of 25,167,895 is 1.
Lets's calculate GCF of 25,167,895
∴ 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 167
:1,167
Now, list down the factors of 895
:1,5,179,895
Greatest Common Factor
We found the factors 25,167,895 . The biggest common factor number is the GCF number.
So the greatest common factor 25,167,895 is 1.
Lets's calculate LCM of 41,91,863
Given numbers has no common factors except 1. So, there LCM is their product i.e 3219853
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3219853
Therefore, the GCF of Fractions 25/41,167/91,895/863 is 1/3219853
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 41,91,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,91,863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,91,863) x common factors =1 x 1 = 1
LCM(41,91,863) = ( 41 × 91 × 863 ) / 1
LCM(41,91,863) = 3219853 / 1
LCM(41,91,863) = 3219853
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 25,167,895?
The HCF of 25,167,895 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 25/41, 167/91, 895/863?
Answer: GCF of Numerators as per given numbers 25/41, 167/91, 895/863 is
GCF of Numerators i.e. for 25,167,895 is 1
LCM of denominators i.e. for 41,91,863 is 3219853.
Thus, GCF of Fractions is 1/3219853.Finally, GCF of Fractions for 25/41, 167/91, 895/863 is 1/3219853.