Use our free GCF of Fractions Calculator tool to compute the GCF of 422/857, 403/734 i.e 1/629038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 422/857, 403/734.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 422/857,403/734
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 422/857,403/734, numerators are 422,403
Denominators are 857,734
The GCF of 422,403 is 1 .
LCM of 857,734 is 629038.
The greatest common factor of 422/857,403/734 = [GCF of 422,403]/[LCM of 857,734]= 1/629038
Therefore, the GCF of 422/857,403/734 is 1/629038.
To find the highest common factor of 422,403, we have to find the factors of both numbers and list the highest common factor.
The factors of 422 are 1, 2, 211, 422
The factors of 403 are 1, 13, 31, 403
The HCF of 422,403 is 1.
Lets's calculate GCF of 422,403
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 422
:1,2,211,422
Now, list down the factors of 403
:1,13,31,403
Greatest Common Factor
We found the factors 422,403 . The biggest common factor number is the GCF number.
So the greatest common factor 422,403 is 1.
Lets's calculate LCM of 857,734
Given numbers has no common factors except 1. So, there LCM is their product i.e 629038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/629038
Therefore, the GCF of Fractions 422/857,403/734 is 1/629038
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 857,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(857,734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(857,734) x common factors =1 x 1 = 1
LCM(857,734) = ( 857 × 734 ) / 1
LCM(857,734) = 629038 / 1
LCM(857,734) = 629038
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 422,403?
The HCF of 422,403 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 422/857, 403/734?
Answer: GCF of Numerators as per given numbers 422/857, 403/734 is
GCF of Numerators i.e. for 422,403 is 1
LCM of denominators i.e. for 857,734 is 629038.
Thus, GCF of Fractions is 1/629038.Finally, GCF of Fractions for 422/857, 403/734 is 1/629038.