Use our free GCF of Fractions Calculator tool to compute the GCF of 4127/982, 9275/7831 i.e 1/7690042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4127/982, 9275/7831.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4127/982,9275/7831
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 4127/982,9275/7831, numerators are 4127,9275
Denominators are 982,7831
The GCF of 4127,9275 is 1 .
LCM of 982,7831 is 7690042.
The greatest common factor of 4127/982,9275/7831 = [GCF of 4127,9275]/[LCM of 982,7831]= 1/7690042
Therefore, the GCF of 4127/982,9275/7831 is 1/7690042.
To find the highest common factor of 4127,9275, we have to find the factors of both numbers and list the highest common factor.
The factors of 4127 are 1, 4127
The factors of 9275 are 1, 5, 7, 25, 35, 53, 175, 265, 371, 1325, 1855, 9275
The HCF of 4127,9275 is 1.
Lets's calculate GCF of 4127,9275
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4127
:1,4127
Now, list down the factors of 9275
:1,5,7,25,35,53,175,265,371,1325,1855,9275
Greatest Common Factor
We found the factors 4127,9275 . The biggest common factor number is the GCF number.
So the greatest common factor 4127,9275 is 1.
Lets's calculate LCM of 982,7831
Given numbers has no common factors except 1. So, there LCM is their product i.e 7690042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7690042
Therefore, the GCF of Fractions 4127/982,9275/7831 is 1/7690042
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 982,7831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,7831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(982,7831) x common factors =1 x 1 = 1
LCM(982,7831) = ( 982 × 7831 ) / 1
LCM(982,7831) = 7690042 / 1
LCM(982,7831) = 7690042
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4127,9275?
The HCF of 4127,9275 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 4127/982, 9275/7831?
Answer: GCF of Numerators as per given numbers 4127/982, 9275/7831 is
GCF of Numerators i.e. for 4127,9275 is 1
LCM of denominators i.e. for 982,7831 is 7690042.
Thus, GCF of Fractions is 1/7690042.Finally, GCF of Fractions for 4127/982, 9275/7831 is 1/7690042.