Use our free GCF of Fractions Calculator tool to compute the GCF of 7121/377, 6227/3695 i.e 1/1393015 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7121/377, 6227/3695.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7121/377,6227/3695
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 7121/377,6227/3695, numerators are 7121,6227
Denominators are 377,3695
The GCF of 7121,6227 is 1 .
LCM of 377,3695 is 1393015.
The greatest common factor of 7121/377,6227/3695 = [GCF of 7121,6227]/[LCM of 377,3695]= 1/1393015
Therefore, the GCF of 7121/377,6227/3695 is 1/1393015.
To find the highest common factor of 7121,6227, we have to find the factors of both numbers and list the highest common factor.
The factors of 7121 are 1, 7121
The factors of 6227 are 1, 13, 479, 6227
The HCF of 7121,6227 is 1.
Lets's calculate GCF of 7121,6227
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7121
:1,7121
Now, list down the factors of 6227
:1,13,479,6227
Greatest Common Factor
We found the factors 7121,6227 . The biggest common factor number is the GCF number.
So the greatest common factor 7121,6227 is 1.
Lets's calculate LCM of 377,3695
Given numbers has no common factors except 1. So, there LCM is their product i.e 1393015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1393015
Therefore, the GCF of Fractions 7121/377,6227/3695 is 1/1393015
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 377,3695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,3695) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(377,3695) x common factors =1 x 1 = 1
LCM(377,3695) = ( 377 × 3695 ) / 1
LCM(377,3695) = 1393015 / 1
LCM(377,3695) = 1393015
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7121,6227?
The HCF of 7121,6227 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 7121/377, 6227/3695?
Answer: GCF of Numerators as per given numbers 7121/377, 6227/3695 is
GCF of Numerators i.e. for 7121,6227 is 1
LCM of denominators i.e. for 377,3695 is 1393015.
Thus, GCF of Fractions is 1/1393015.Finally, GCF of Fractions for 7121/377, 6227/3695 is 1/1393015.