Use our free GCF of Fractions Calculator tool to compute the GCF of 9125/554, 8727/8126 i.e 1/2250902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9125/554, 8727/8126.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9125/554,8727/8126
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 9125/554,8727/8126, numerators are 9125,8727
Denominators are 554,8126
The GCF of 9125,8727 is 1 .
LCM of 554,8126 is 2250902.
The greatest common factor of 9125/554,8727/8126 = [GCF of 9125,8727]/[LCM of 554,8126]= 1/2250902
Therefore, the GCF of 9125/554,8727/8126 is 1/2250902.
To find the highest common factor of 9125,8727, we have to find the factors of both numbers and list the highest common factor.
The factors of 9125 are 1, 5, 25, 73, 125, 365, 1825, 9125
The factors of 8727 are 1, 3, 2909, 8727
The HCF of 9125,8727 is 1.
Lets's calculate GCF of 9125,8727
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9125
:1,5,25,73,125,365,1825,9125
Now, list down the factors of 8727
:1,3,2909,8727
Greatest Common Factor
We found the factors 9125,8727 . The biggest common factor number is the GCF number.
So the greatest common factor 9125,8727 is 1.
Lets's calculate LCM of 554,8126
2 | 554, 8126 |
277, 4063 |
∴ So the LCM of the given numbers is 2 x 277 x 4063 = 2250902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2250902
Therefore, the GCF of Fractions 9125/554,8727/8126 is 1/2250902
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 554,8126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,8126) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(554,8126) x common factors =2 x 1 = 2
LCM(554,8126) = ( 554 × 8126 ) / 2
LCM(554,8126) = 4501804 / 2
LCM(554,8126) = 2250902
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9125,8727?
The HCF of 9125,8727 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 9125/554, 8727/8126?
Answer: GCF of Numerators as per given numbers 9125/554, 8727/8126 is
GCF of Numerators i.e. for 9125,8727 is 1
LCM of denominators i.e. for 554,8126 is 2250902.
Thus, GCF of Fractions is 1/2250902.Finally, GCF of Fractions for 9125/554, 8727/8126 is 1/2250902.