Use our free GCF of Fractions Calculator tool to compute the GCF of 2318/958, 8159/7690 i.e 1/3683510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2318/958, 8159/7690.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2318/958,8159/7690
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 2318/958,8159/7690, numerators are 2318,8159
Denominators are 958,7690
The GCF of 2318,8159 is 1 .
LCM of 958,7690 is 3683510.
The greatest common factor of 2318/958,8159/7690 = [GCF of 2318,8159]/[LCM of 958,7690]= 1/3683510
Therefore, the GCF of 2318/958,8159/7690 is 1/3683510.
To find the highest common factor of 2318,8159, we have to find the factors of both numbers and list the highest common factor.
The factors of 2318 are 1, 2, 19, 38, 61, 122, 1159, 2318
The factors of 8159 are 1, 41, 199, 8159
The HCF of 2318,8159 is 1.
Lets's calculate GCF of 2318,8159
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2318
:1,2,19,38,61,122,1159,2318
Now, list down the factors of 8159
:1,41,199,8159
Greatest Common Factor
We found the factors 2318,8159 . The biggest common factor number is the GCF number.
So the greatest common factor 2318,8159 is 1.
Lets's calculate LCM of 958,7690
2 | 958, 7690 |
479, 3845 |
∴ So the LCM of the given numbers is 2 x 479 x 3845 = 3683510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3683510
Therefore, the GCF of Fractions 2318/958,8159/7690 is 1/3683510
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 958,7690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,7690) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(958,7690) x common factors =2 x 1 = 2
LCM(958,7690) = ( 958 × 7690 ) / 2
LCM(958,7690) = 7367020 / 2
LCM(958,7690) = 3683510
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2318,8159?
The HCF of 2318,8159 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 2318/958, 8159/7690?
Answer: GCF of Numerators as per given numbers 2318/958, 8159/7690 is
GCF of Numerators i.e. for 2318,8159 is 1
LCM of denominators i.e. for 958,7690 is 3683510.
Thus, GCF of Fractions is 1/3683510.Finally, GCF of Fractions for 2318/958, 8159/7690 is 1/3683510.