Use our free GCF of Fractions Calculator tool to compute the GCF of 4793/285, 2028/8149 i.e 1/2322465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4793/285, 2028/8149.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4793/285,2028/8149
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 4793/285,2028/8149, numerators are 4793,2028
Denominators are 285,8149
The GCF of 4793,2028 is 1 .
LCM of 285,8149 is 2322465.
The greatest common factor of 4793/285,2028/8149 = [GCF of 4793,2028]/[LCM of 285,8149]= 1/2322465
Therefore, the GCF of 4793/285,2028/8149 is 1/2322465.
To find the highest common factor of 4793,2028, we have to find the factors of both numbers and list the highest common factor.
The factors of 4793 are 1, 4793
The factors of 2028 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028
The HCF of 4793,2028 is 1.
Lets's calculate GCF of 4793,2028
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4793
:1,4793
Now, list down the factors of 2028
:1,2,3,4,6,12,13,26,39,52,78,156,169,338,507,676,1014,2028
Greatest Common Factor
We found the factors 4793,2028 . The biggest common factor number is the GCF number.
So the greatest common factor 4793,2028 is 1.
Lets's calculate LCM of 285,8149
Given numbers has no common factors except 1. So, there LCM is their product i.e 2322465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2322465
Therefore, the GCF of Fractions 4793/285,2028/8149 is 1/2322465
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 285,8149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,8149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(285,8149) x common factors =1 x 1 = 1
LCM(285,8149) = ( 285 × 8149 ) / 1
LCM(285,8149) = 2322465 / 1
LCM(285,8149) = 2322465
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4793,2028?
The HCF of 4793,2028 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 4793/285, 2028/8149?
Answer: GCF of Numerators as per given numbers 4793/285, 2028/8149 is
GCF of Numerators i.e. for 4793,2028 is 1
LCM of denominators i.e. for 285,8149 is 2322465.
Thus, GCF of Fractions is 1/2322465.Finally, GCF of Fractions for 4793/285, 2028/8149 is 1/2322465.