Use our free GCF of Fractions Calculator tool to compute the GCF of 626/669, 634/448 i.e 2/299712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 626/669, 634/448.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 626/669,634/448
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 626/669,634/448, numerators are 626,634
Denominators are 669,448
The GCF of 626,634 is 2 .
LCM of 669,448 is 299712.
The greatest common factor of 626/669,634/448 = [GCF of 626,634]/[LCM of 669,448]= 2/299712
Therefore, the GCF of 626/669,634/448 is 2/299712.
To find the highest common factor of 626,634, we have to find the factors of both numbers and list the highest common factor.
The factors of 626 are 1, 2, 313, 626
The factors of 634 are 1, 2, 317, 634
The HCF of 626,634 is 2.
Lets's calculate GCF of 626,634
2 | 626, 634 |
313, 317 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 626
:1,2,313,626
Now, list down the factors of 634
:1,2,317,634
Greatest Common Factor
We found the factors 626,634 . The biggest common factor number is the GCF number.
So the greatest common factor 626,634 is 2.
Lets's calculate LCM of 669,448
Given numbers has no common factors except 1. So, there LCM is their product i.e 299712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/299712
Therefore, the GCF of Fractions 626/669,634/448 is 2/299712
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 669,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,448) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,448) x common factors =1 x 1 = 1
LCM(669,448) = ( 669 × 448 ) / 1
LCM(669,448) = 299712 / 1
LCM(669,448) = 299712
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 626,634?
The HCF of 626,634 is 2
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 626/669, 634/448?
Answer: GCF of Numerators as per given numbers 626/669, 634/448 is
GCF of Numerators i.e. for 626,634 is 2
LCM of denominators i.e. for 669,448 is 299712.
Thus, GCF of Fractions is 2/299712.Finally, GCF of Fractions for 626/669, 634/448 is 2/299712.