Use our free GCF of Fractions Calculator tool to compute the GCF of 860/573, 556/768 i.e 4/146688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 860/573, 556/768.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 860/573,556/768
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 860/573,556/768, numerators are 860,556
Denominators are 573,768
The GCF of 860,556 is 4 .
LCM of 573,768 is 146688.
The greatest common factor of 860/573,556/768 = [GCF of 860,556]/[LCM of 573,768]= 4/146688
Therefore, the GCF of 860/573,556/768 is 4/146688.
To find the highest common factor of 860,556, we have to find the factors of both numbers and list the highest common factor.
The factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
The factors of 556 are 1, 2, 4, 139, 278, 556
The HCF of 860,556 is 4.
Lets's calculate GCF of 860,556
2 | 860, 556 |
2 | 430, 278 |
215, 139 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 860
:1,2,4,5,10,20,43,86,172,215,430,860
Now, list down the factors of 556
:1,2,4,139,278,556
Greatest Common Factor
We found the factors 860,556 . The biggest common factor number is the GCF number.
So the greatest common factor 860,556 is 4.
Lets's calculate LCM of 573,768
3 | 573, 768 |
191, 256 |
∴ So the LCM of the given numbers is 3 x 191 x 256 = 146688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/146688
Therefore, the GCF of Fractions 860/573,556/768 is 4/146688
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 573,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(573,768) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(573,768) x common factors =3 x 1 = 3
LCM(573,768) = ( 573 × 768 ) / 3
LCM(573,768) = 440064 / 3
LCM(573,768) = 146688
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 860,556?
The HCF of 860,556 is 4
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 860/573, 556/768?
Answer: GCF of Numerators as per given numbers 860/573, 556/768 is
GCF of Numerators i.e. for 860,556 is 4
LCM of denominators i.e. for 573,768 is 146688.
Thus, GCF of Fractions is 4/146688.Finally, GCF of Fractions for 860/573, 556/768 is 4/146688.