Use our free GCF of Fractions Calculator tool to compute the GCF of 7027/324, 4291/6125 i.e 1/1984500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7027/324, 4291/6125.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7027/324,4291/6125
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 7027/324,4291/6125, numerators are 7027,4291
Denominators are 324,6125
The GCF of 7027,4291 is 1 .
LCM of 324,6125 is 1984500.
The greatest common factor of 7027/324,4291/6125 = [GCF of 7027,4291]/[LCM of 324,6125]= 1/1984500
Therefore, the GCF of 7027/324,4291/6125 is 1/1984500.
To find the highest common factor of 7027,4291, we have to find the factors of both numbers and list the highest common factor.
The factors of 7027 are 1, 7027
The factors of 4291 are 1, 7, 613, 4291
The HCF of 7027,4291 is 1.
Lets's calculate GCF of 7027,4291
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7027
:1,7027
Now, list down the factors of 4291
:1,7,613,4291
Greatest Common Factor
We found the factors 7027,4291 . The biggest common factor number is the GCF number.
So the greatest common factor 7027,4291 is 1.
Lets's calculate LCM of 324,6125
Given numbers has no common factors except 1. So, there LCM is their product i.e 1984500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1984500
Therefore, the GCF of Fractions 7027/324,4291/6125 is 1/1984500
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 324,6125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,6125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(324,6125) x common factors =1 x 1 = 1
LCM(324,6125) = ( 324 × 6125 ) / 1
LCM(324,6125) = 1984500 / 1
LCM(324,6125) = 1984500
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7027,4291?
The HCF of 7027,4291 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 7027/324, 4291/6125?
Answer: GCF of Numerators as per given numbers 7027/324, 4291/6125 is
GCF of Numerators i.e. for 7027,4291 is 1
LCM of denominators i.e. for 324,6125 is 1984500.
Thus, GCF of Fractions is 1/1984500.Finally, GCF of Fractions for 7027/324, 4291/6125 is 1/1984500.