Use our free GCF of Fractions Calculator tool to compute the GCF of 399/175, 634/461 i.e 1/80675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 399/175, 634/461.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 399/175,634/461
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 399/175,634/461, numerators are 399,634
Denominators are 175,461
The GCF of 399,634 is 1 .
LCM of 175,461 is 80675.
The greatest common factor of 399/175,634/461 = [GCF of 399,634]/[LCM of 175,461]= 1/80675
Therefore, the GCF of 399/175,634/461 is 1/80675.
To find the highest common factor of 399,634, we have to find the factors of both numbers and list the highest common factor.
The factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399
The factors of 634 are 1, 2, 317, 634
The HCF of 399,634 is 1.
Lets's calculate GCF of 399,634
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 399
:1,3,7,19,21,57,133,399
Now, list down the factors of 634
:1,2,317,634
Greatest Common Factor
We found the factors 399,634 . The biggest common factor number is the GCF number.
So the greatest common factor 399,634 is 1.
Lets's calculate LCM of 175,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 80675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80675
Therefore, the GCF of Fractions 399/175,634/461 is 1/80675
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 175,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(175,461) x common factors =1 x 1 = 1
LCM(175,461) = ( 175 × 461 ) / 1
LCM(175,461) = 80675 / 1
LCM(175,461) = 80675
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 399,634?
The HCF of 399,634 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 399/175, 634/461?
Answer: GCF of Numerators as per given numbers 399/175, 634/461 is
GCF of Numerators i.e. for 399,634 is 1
LCM of denominators i.e. for 175,461 is 80675.
Thus, GCF of Fractions is 1/80675.Finally, GCF of Fractions for 399/175, 634/461 is 1/80675.