Use our free GCF of Fractions Calculator tool to compute the GCF of 550/616, 794/667 i.e 2/410872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 550/616, 794/667.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 550/616,794/667
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 550/616,794/667, numerators are 550,794
Denominators are 616,667
The GCF of 550,794 is 2 .
LCM of 616,667 is 410872.
The greatest common factor of 550/616,794/667 = [GCF of 550,794]/[LCM of 616,667]= 2/410872
Therefore, the GCF of 550/616,794/667 is 2/410872.
To find the highest common factor of 550,794, we have to find the factors of both numbers and list the highest common factor.
The factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
The factors of 794 are 1, 2, 397, 794
The HCF of 550,794 is 2.
Lets's calculate GCF of 550,794
2 | 550, 794 |
275, 397 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 550
:1,2,5,10,11,22,25,50,55,110,275,550
Now, list down the factors of 794
:1,2,397,794
Greatest Common Factor
We found the factors 550,794 . The biggest common factor number is the GCF number.
So the greatest common factor 550,794 is 2.
Lets's calculate LCM of 616,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 410872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/410872
Therefore, the GCF of Fractions 550/616,794/667 is 2/410872
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 616,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(616,667) x common factors =1 x 1 = 1
LCM(616,667) = ( 616 × 667 ) / 1
LCM(616,667) = 410872 / 1
LCM(616,667) = 410872
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 550,794?
The HCF of 550,794 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 550/616, 794/667?
Answer: GCF of Numerators as per given numbers 550/616, 794/667 is
GCF of Numerators i.e. for 550,794 is 2
LCM of denominators i.e. for 616,667 is 410872.
Thus, GCF of Fractions is 2/410872.Finally, GCF of Fractions for 550/616, 794/667 is 2/410872.