Use our free GCF of Fractions Calculator tool to compute the GCF of 575/161, 796/106 i.e 1/17066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 575/161, 796/106.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 575/161,796/106
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 575/161,796/106, numerators are 575,796
Denominators are 161,106
The GCF of 575,796 is 1 .
LCM of 161,106 is 17066.
The greatest common factor of 575/161,796/106 = [GCF of 575,796]/[LCM of 161,106]= 1/17066
Therefore, the GCF of 575/161,796/106 is 1/17066.
To find the highest common factor of 575,796, we have to find the factors of both numbers and list the highest common factor.
The factors of 575 are 1, 5, 23, 25, 115, 575
The factors of 796 are 1, 2, 4, 199, 398, 796
The HCF of 575,796 is 1.
Lets's calculate GCF of 575,796
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 575
:1,5,23,25,115,575
Now, list down the factors of 796
:1,2,4,199,398,796
Greatest Common Factor
We found the factors 575,796 . The biggest common factor number is the GCF number.
So the greatest common factor 575,796 is 1.
Lets's calculate LCM of 161,106
Given numbers has no common factors except 1. So, there LCM is their product i.e 17066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17066
Therefore, the GCF of Fractions 575/161,796/106 is 1/17066
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 161,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,106) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,106) x common factors =1 x 1 = 1
LCM(161,106) = ( 161 × 106 ) / 1
LCM(161,106) = 17066 / 1
LCM(161,106) = 17066
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 575,796?
The HCF of 575,796 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 575/161, 796/106?
Answer: GCF of Numerators as per given numbers 575/161, 796/106 is
GCF of Numerators i.e. for 575,796 is 1
LCM of denominators i.e. for 161,106 is 17066.
Thus, GCF of Fractions is 1/17066.Finally, GCF of Fractions for 575/161, 796/106 is 1/17066.