Use our free GCF of Fractions Calculator tool to compute the GCF of 1051/367, 8012/1935 i.e 1/710145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1051/367, 8012/1935.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1051/367,8012/1935
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 1051/367,8012/1935, numerators are 1051,8012
Denominators are 367,1935
The GCF of 1051,8012 is 1 .
LCM of 367,1935 is 710145.
The greatest common factor of 1051/367,8012/1935 = [GCF of 1051,8012]/[LCM of 367,1935]= 1/710145
Therefore, the GCF of 1051/367,8012/1935 is 1/710145.
To find the highest common factor of 1051,8012, we have to find the factors of both numbers and list the highest common factor.
The factors of 1051 are 1, 1051
The factors of 8012 are 1, 2, 4, 2003, 4006, 8012
The HCF of 1051,8012 is 1.
Lets's calculate GCF of 1051,8012
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1051
:1,1051
Now, list down the factors of 8012
:1,2,4,2003,4006,8012
Greatest Common Factor
We found the factors 1051,8012 . The biggest common factor number is the GCF number.
So the greatest common factor 1051,8012 is 1.
Lets's calculate LCM of 367,1935
Given numbers has no common factors except 1. So, there LCM is their product i.e 710145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/710145
Therefore, the GCF of Fractions 1051/367,8012/1935 is 1/710145
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 367,1935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,1935) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,1935) x common factors =1 x 1 = 1
LCM(367,1935) = ( 367 × 1935 ) / 1
LCM(367,1935) = 710145 / 1
LCM(367,1935) = 710145
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1051,8012?
The HCF of 1051,8012 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 1051/367, 8012/1935?
Answer: GCF of Numerators as per given numbers 1051/367, 8012/1935 is
GCF of Numerators i.e. for 1051,8012 is 1
LCM of denominators i.e. for 367,1935 is 710145.
Thus, GCF of Fractions is 1/710145.Finally, GCF of Fractions for 1051/367, 8012/1935 is 1/710145.