Use our free GCF of Fractions Calculator tool to compute the GCF of 158/106, 105/769 i.e 1/81514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 158/106, 105/769.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 158/106,105/769
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 158/106,105/769, numerators are 158,105
Denominators are 106,769
The GCF of 158,105 is 1 .
LCM of 106,769 is 81514.
The greatest common factor of 158/106,105/769 = [GCF of 158,105]/[LCM of 106,769]= 1/81514
Therefore, the GCF of 158/106,105/769 is 1/81514.
To find the highest common factor of 158,105, we have to find the factors of both numbers and list the highest common factor.
The factors of 158 are 1, 2, 79, 158
The factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105
The HCF of 158,105 is 1.
Lets's calculate GCF of 158,105
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 158
:1,2,79,158
Now, list down the factors of 105
:1,3,5,7,15,21,35,105
Greatest Common Factor
We found the factors 158,105 . The biggest common factor number is the GCF number.
So the greatest common factor 158,105 is 1.
Lets's calculate LCM of 106,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 81514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81514
Therefore, the GCF of Fractions 158/106,105/769 is 1/81514
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 106,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(106,769) x common factors =1 x 1 = 1
LCM(106,769) = ( 106 × 769 ) / 1
LCM(106,769) = 81514 / 1
LCM(106,769) = 81514
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 158,105?
The HCF of 158,105 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 158/106, 105/769?
Answer: GCF of Numerators as per given numbers 158/106, 105/769 is
GCF of Numerators i.e. for 158,105 is 1
LCM of denominators i.e. for 106,769 is 81514.
Thus, GCF of Fractions is 1/81514.Finally, GCF of Fractions for 158/106, 105/769 is 1/81514.