Use our free GCF of Fractions Calculator tool to compute the GCF of 664/942, 855/245 i.e 1/230790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 664/942, 855/245.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 664/942,855/245
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 664/942,855/245, numerators are 664,855
Denominators are 942,245
The GCF of 664,855 is 1 .
LCM of 942,245 is 230790.
The greatest common factor of 664/942,855/245 = [GCF of 664,855]/[LCM of 942,245]= 1/230790
Therefore, the GCF of 664/942,855/245 is 1/230790.
To find the highest common factor of 664,855, we have to find the factors of both numbers and list the highest common factor.
The factors of 664 are 1, 2, 4, 8, 83, 166, 332, 664
The factors of 855 are 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
The HCF of 664,855 is 1.
Lets's calculate GCF of 664,855
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 664
:1,2,4,8,83,166,332,664
Now, list down the factors of 855
:1,3,5,9,15,19,45,57,95,171,285,855
Greatest Common Factor
We found the factors 664,855 . The biggest common factor number is the GCF number.
So the greatest common factor 664,855 is 1.
Lets's calculate LCM of 942,245
Given numbers has no common factors except 1. So, there LCM is their product i.e 230790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230790
Therefore, the GCF of Fractions 664/942,855/245 is 1/230790
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 942,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,245) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(942,245) x common factors =1 x 1 = 1
LCM(942,245) = ( 942 × 245 ) / 1
LCM(942,245) = 230790 / 1
LCM(942,245) = 230790
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 664,855?
The HCF of 664,855 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 664/942, 855/245?
Answer: GCF of Numerators as per given numbers 664/942, 855/245 is
GCF of Numerators i.e. for 664,855 is 1
LCM of denominators i.e. for 942,245 is 230790.
Thus, GCF of Fractions is 1/230790.Finally, GCF of Fractions for 664/942, 855/245 is 1/230790.