Use our free GCF of Fractions Calculator tool to compute the GCF of 575/174, 505/706 i.e 5/61422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 575/174, 505/706.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 575/174,505/706
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 575/174,505/706, numerators are 575,505
Denominators are 174,706
The GCF of 575,505 is 5 .
LCM of 174,706 is 61422.
The greatest common factor of 575/174,505/706 = [GCF of 575,505]/[LCM of 174,706]= 5/61422
Therefore, the GCF of 575/174,505/706 is 5/61422.
To find the highest common factor of 575,505, 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 505 are 1, 5, 101, 505
The HCF of 575,505 is 5.
Lets's calculate GCF of 575,505
5 | 575, 505 |
115, 101 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 575
:1,5,23,25,115,575
Now, list down the factors of 505
:1,5,101,505
Greatest Common Factor
We found the factors 575,505 . The biggest common factor number is the GCF number.
So the greatest common factor 575,505 is 5.
Lets's calculate LCM of 174,706
2 | 174, 706 |
87, 353 |
∴ So the LCM of the given numbers is 2 x 87 x 353 = 61422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/61422
Therefore, the GCF of Fractions 575/174,505/706 is 5/61422
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 174,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(174,706) x common factors =2 x 1 = 2
LCM(174,706) = ( 174 × 706 ) / 2
LCM(174,706) = 122844 / 2
LCM(174,706) = 61422
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 575,505?
The HCF of 575,505 is 5
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 575/174, 505/706?
Answer: GCF of Numerators as per given numbers 575/174, 505/706 is
GCF of Numerators i.e. for 575,505 is 5
LCM of denominators i.e. for 174,706 is 61422.
Thus, GCF of Fractions is 5/61422.Finally, GCF of Fractions for 575/174, 505/706 is 5/61422.