Use our free GCF of Fractions Calculator tool to compute the GCF of 446/804, 294/661 i.e 2/531444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 446/804, 294/661.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 446/804,294/661
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 446/804,294/661, numerators are 446,294
Denominators are 804,661
The GCF of 446,294 is 2 .
LCM of 804,661 is 531444.
The greatest common factor of 446/804,294/661 = [GCF of 446,294]/[LCM of 804,661]= 2/531444
Therefore, the GCF of 446/804,294/661 is 2/531444.
To find the highest common factor of 446,294, we have to find the factors of both numbers and list the highest common factor.
The factors of 446 are 1, 2, 223, 446
The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
The HCF of 446,294 is 2.
Lets's calculate GCF of 446,294
2 | 446, 294 |
223, 147 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 446
:1,2,223,446
Now, list down the factors of 294
:1,2,3,6,7,14,21,42,49,98,147,294
Greatest Common Factor
We found the factors 446,294 . The biggest common factor number is the GCF number.
So the greatest common factor 446,294 is 2.
Lets's calculate LCM of 804,661
Given numbers has no common factors except 1. So, there LCM is their product i.e 531444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/531444
Therefore, the GCF of Fractions 446/804,294/661 is 2/531444
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 804,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(804,661) x common factors =1 x 1 = 1
LCM(804,661) = ( 804 × 661 ) / 1
LCM(804,661) = 531444 / 1
LCM(804,661) = 531444
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 446,294?
The HCF of 446,294 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 446/804, 294/661?
Answer: GCF of Numerators as per given numbers 446/804, 294/661 is
GCF of Numerators i.e. for 446,294 is 2
LCM of denominators i.e. for 804,661 is 531444.
Thus, GCF of Fractions is 2/531444.Finally, GCF of Fractions for 446/804, 294/661 is 2/531444.