Use our free GCF of Fractions Calculator tool to compute the GCF of 1959/151, 8296/1506 i.e 1/227406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1959/151, 8296/1506.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1959/151,8296/1506
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 1959/151,8296/1506, numerators are 1959,8296
Denominators are 151,1506
The GCF of 1959,8296 is 1 .
LCM of 151,1506 is 227406.
The greatest common factor of 1959/151,8296/1506 = [GCF of 1959,8296]/[LCM of 151,1506]= 1/227406
Therefore, the GCF of 1959/151,8296/1506 is 1/227406.
To find the highest common factor of 1959,8296, we have to find the factors of both numbers and list the highest common factor.
The factors of 1959 are 1, 3, 653, 1959
The factors of 8296 are 1, 2, 4, 8, 17, 34, 61, 68, 122, 136, 244, 488, 1037, 2074, 4148, 8296
The HCF of 1959,8296 is 1.
Lets's calculate GCF of 1959,8296
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1959
:1,3,653,1959
Now, list down the factors of 8296
:1,2,4,8,17,34,61,68,122,136,244,488,1037,2074,4148,8296
Greatest Common Factor
We found the factors 1959,8296 . The biggest common factor number is the GCF number.
So the greatest common factor 1959,8296 is 1.
Lets's calculate LCM of 151,1506
Given numbers has no common factors except 1. So, there LCM is their product i.e 227406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227406
Therefore, the GCF of Fractions 1959/151,8296/1506 is 1/227406
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 151,1506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,1506) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,1506) x common factors =1 x 1 = 1
LCM(151,1506) = ( 151 × 1506 ) / 1
LCM(151,1506) = 227406 / 1
LCM(151,1506) = 227406
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1959,8296?
The HCF of 1959,8296 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 1959/151, 8296/1506?
Answer: GCF of Numerators as per given numbers 1959/151, 8296/1506 is
GCF of Numerators i.e. for 1959,8296 is 1
LCM of denominators i.e. for 151,1506 is 227406.
Thus, GCF of Fractions is 1/227406.Finally, GCF of Fractions for 1959/151, 8296/1506 is 1/227406.