Use our free GCF of Fractions Calculator tool to compute the GCF of 428/629, 195/403 i.e 1/253487 easily. The following is the detailed procedure to determine the greatest common factor of fractions 428/629, 195/403.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 428/629,195/403
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 428/629,195/403, numerators are 428,195
Denominators are 629,403
The GCF of 428,195 is 1 .
LCM of 629,403 is 253487.
The greatest common factor of 428/629,195/403 = [GCF of 428,195]/[LCM of 629,403]= 1/253487
Therefore, the GCF of 428/629,195/403 is 1/253487.
To find the highest common factor of 428,195, we have to find the factors of both numbers and list the highest common factor.
The factors of 428 are 1, 2, 4, 107, 214, 428
The factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195
The HCF of 428,195 is 1.
Lets's calculate GCF of 428,195
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 428
:1,2,4,107,214,428
Now, list down the factors of 195
:1,3,5,13,15,39,65,195
Greatest Common Factor
We found the factors 428,195 . The biggest common factor number is the GCF number.
So the greatest common factor 428,195 is 1.
Lets's calculate LCM of 629,403
Given numbers has no common factors except 1. So, there LCM is their product i.e 253487
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/253487
Therefore, the GCF of Fractions 428/629,195/403 is 1/253487
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 629,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(629,403) x common factors =1 x 1 = 1
LCM(629,403) = ( 629 × 403 ) / 1
LCM(629,403) = 253487 / 1
LCM(629,403) = 253487
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 428,195?
The HCF of 428,195 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 428/629, 195/403?
Answer: GCF of Numerators as per given numbers 428/629, 195/403 is
GCF of Numerators i.e. for 428,195 is 1
LCM of denominators i.e. for 629,403 is 253487.
Thus, GCF of Fractions is 1/253487.Finally, GCF of Fractions for 428/629, 195/403 is 1/253487.