Use our free GCF of Fractions Calculator tool to compute the GCF of 849/963, 488/798 i.e 1/256158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 849/963, 488/798.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 849/963,488/798
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 849/963,488/798, numerators are 849,488
Denominators are 963,798
The GCF of 849,488 is 1 .
LCM of 963,798 is 256158.
The greatest common factor of 849/963,488/798 = [GCF of 849,488]/[LCM of 963,798]= 1/256158
Therefore, the GCF of 849/963,488/798 is 1/256158.
To find the highest common factor of 849,488, we have to find the factors of both numbers and list the highest common factor.
The factors of 849 are 1, 3, 283, 849
The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488
The HCF of 849,488 is 1.
Lets's calculate GCF of 849,488
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 849
:1,3,283,849
Now, list down the factors of 488
:1,2,4,8,61,122,244,488
Greatest Common Factor
We found the factors 849,488 . The biggest common factor number is the GCF number.
So the greatest common factor 849,488 is 1.
Lets's calculate LCM of 963,798
3 | 963, 798 |
321, 266 |
∴ So the LCM of the given numbers is 3 x 321 x 266 = 256158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/256158
Therefore, the GCF of Fractions 849/963,488/798 is 1/256158
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 963,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(963,798) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(963,798) x common factors =3 x 1 = 3
LCM(963,798) = ( 963 × 798 ) / 3
LCM(963,798) = 768474 / 3
LCM(963,798) = 256158
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 849,488?
The HCF of 849,488 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 849/963, 488/798?
Answer: GCF of Numerators as per given numbers 849/963, 488/798 is
GCF of Numerators i.e. for 849,488 is 1
LCM of denominators i.e. for 963,798 is 256158.
Thus, GCF of Fractions is 1/256158.Finally, GCF of Fractions for 849/963, 488/798 is 1/256158.