Use our free GCF of Fractions Calculator tool to compute the GCF of 4946/822, 5889/2370 i.e 1/324690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4946/822, 5889/2370.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4946/822,5889/2370
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 4946/822,5889/2370, numerators are 4946,5889
Denominators are 822,2370
The GCF of 4946,5889 is 1 .
LCM of 822,2370 is 324690.
The greatest common factor of 4946/822,5889/2370 = [GCF of 4946,5889]/[LCM of 822,2370]= 1/324690
Therefore, the GCF of 4946/822,5889/2370 is 1/324690.
To find the highest common factor of 4946,5889, we have to find the factors of both numbers and list the highest common factor.
The factors of 4946 are 1, 2, 2473, 4946
The factors of 5889 are 1, 3, 13, 39, 151, 453, 1963, 5889
The HCF of 4946,5889 is 1.
Lets's calculate GCF of 4946,5889
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4946
:1,2,2473,4946
Now, list down the factors of 5889
:1,3,13,39,151,453,1963,5889
Greatest Common Factor
We found the factors 4946,5889 . The biggest common factor number is the GCF number.
So the greatest common factor 4946,5889 is 1.
Lets's calculate LCM of 822,2370
2 | 822, 2370 |
3 | 411, 1185 |
137, 395 |
∴ So the LCM of the given numbers is 2 x 3 x 137 x 395 = 324690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/324690
Therefore, the GCF of Fractions 4946/822,5889/2370 is 1/324690
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 822,2370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,2370) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(822,2370) x common factors =6 x 1 = 6
LCM(822,2370) = ( 822 × 2370 ) / 6
LCM(822,2370) = 1948140 / 6
LCM(822,2370) = 324690
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4946,5889?
The HCF of 4946,5889 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 4946/822, 5889/2370?
Answer: GCF of Numerators as per given numbers 4946/822, 5889/2370 is
GCF of Numerators i.e. for 4946,5889 is 1
LCM of denominators i.e. for 822,2370 is 324690.
Thus, GCF of Fractions is 1/324690.Finally, GCF of Fractions for 4946/822, 5889/2370 is 1/324690.