Use our free GCF of Fractions Calculator tool to compute the GCF of 341/422, 855/621 i.e 1/262062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 341/422, 855/621.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 341/422,855/621
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 341/422,855/621, numerators are 341,855
Denominators are 422,621
The GCF of 341,855 is 1 .
LCM of 422,621 is 262062.
The greatest common factor of 341/422,855/621 = [GCF of 341,855]/[LCM of 422,621]= 1/262062
Therefore, the GCF of 341/422,855/621 is 1/262062.
To find the highest common factor of 341,855, we have to find the factors of both numbers and list the highest common factor.
The factors of 341 are 1, 11, 31, 341
The factors of 855 are 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
The HCF of 341,855 is 1.
Lets's calculate GCF of 341,855
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 341
:1,11,31,341
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 341,855 . The biggest common factor number is the GCF number.
So the greatest common factor 341,855 is 1.
Lets's calculate LCM of 422,621
Given numbers has no common factors except 1. So, there LCM is their product i.e 262062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/262062
Therefore, the GCF of Fractions 341/422,855/621 is 1/262062
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 422,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,621) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(422,621) x common factors =1 x 1 = 1
LCM(422,621) = ( 422 × 621 ) / 1
LCM(422,621) = 262062 / 1
LCM(422,621) = 262062
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 341,855?
The HCF of 341,855 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 341/422, 855/621?
Answer: GCF of Numerators as per given numbers 341/422, 855/621 is
GCF of Numerators i.e. for 341,855 is 1
LCM of denominators i.e. for 422,621 is 262062.
Thus, GCF of Fractions is 1/262062.Finally, GCF of Fractions for 341/422, 855/621 is 1/262062.