Use our free GCF of Fractions Calculator tool to compute the GCF of 6158/769, 2201/3875 i.e 1/2979875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6158/769, 2201/3875.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6158/769,2201/3875
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 6158/769,2201/3875, numerators are 6158,2201
Denominators are 769,3875
The GCF of 6158,2201 is 1 .
LCM of 769,3875 is 2979875.
The greatest common factor of 6158/769,2201/3875 = [GCF of 6158,2201]/[LCM of 769,3875]= 1/2979875
Therefore, the GCF of 6158/769,2201/3875 is 1/2979875.
To find the highest common factor of 6158,2201, we have to find the factors of both numbers and list the highest common factor.
The factors of 6158 are 1, 2, 3079, 6158
The factors of 2201 are 1, 31, 71, 2201
The HCF of 6158,2201 is 1.
Lets's calculate GCF of 6158,2201
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6158
:1,2,3079,6158
Now, list down the factors of 2201
:1,31,71,2201
Greatest Common Factor
We found the factors 6158,2201 . The biggest common factor number is the GCF number.
So the greatest common factor 6158,2201 is 1.
Lets's calculate LCM of 769,3875
Given numbers has no common factors except 1. So, there LCM is their product i.e 2979875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2979875
Therefore, the GCF of Fractions 6158/769,2201/3875 is 1/2979875
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 769,3875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,3875) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,3875) x common factors =1 x 1 = 1
LCM(769,3875) = ( 769 × 3875 ) / 1
LCM(769,3875) = 2979875 / 1
LCM(769,3875) = 2979875
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6158,2201?
The HCF of 6158,2201 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 6158/769, 2201/3875?
Answer: GCF of Numerators as per given numbers 6158/769, 2201/3875 is
GCF of Numerators i.e. for 6158,2201 is 1
LCM of denominators i.e. for 769,3875 is 2979875.
Thus, GCF of Fractions is 1/2979875.Finally, GCF of Fractions for 6158/769, 2201/3875 is 1/2979875.