Use our free GCF of Fractions Calculator tool to compute the GCF of 844/142, 544/616 i.e 4/43736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 844/142, 544/616.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 844/142,544/616
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 844/142,544/616, numerators are 844,544
Denominators are 142,616
The GCF of 844,544 is 4 .
LCM of 142,616 is 43736.
The greatest common factor of 844/142,544/616 = [GCF of 844,544]/[LCM of 142,616]= 4/43736
Therefore, the GCF of 844/142,544/616 is 4/43736.
To find the highest common factor of 844,544, we have to find the factors of both numbers and list the highest common factor.
The factors of 844 are 1, 2, 4, 211, 422, 844
The factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
The HCF of 844,544 is 4.
Lets's calculate GCF of 844,544
2 | 844, 544 |
2 | 422, 272 |
211, 136 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 844
:1,2,4,211,422,844
Now, list down the factors of 544
:1,2,4,8,16,17,32,34,68,136,272,544
Greatest Common Factor
We found the factors 844,544 . The biggest common factor number is the GCF number.
So the greatest common factor 844,544 is 4.
Lets's calculate LCM of 142,616
2 | 142, 616 |
71, 308 |
∴ So the LCM of the given numbers is 2 x 71 x 308 = 43736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/43736
Therefore, the GCF of Fractions 844/142,544/616 is 4/43736
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 142,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,616) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,616) x common factors =2 x 1 = 2
LCM(142,616) = ( 142 × 616 ) / 2
LCM(142,616) = 87472 / 2
LCM(142,616) = 43736
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 844,544?
The HCF of 844,544 is 4
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 844/142, 544/616?
Answer: GCF of Numerators as per given numbers 844/142, 544/616 is
GCF of Numerators i.e. for 844,544 is 4
LCM of denominators i.e. for 142,616 is 43736.
Thus, GCF of Fractions is 4/43736.Finally, GCF of Fractions for 844/142, 544/616 is 4/43736.