GCF of 8446/305, 4974/9649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8446/305, 4974/9649 i.e 2/2942945 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8446/305, 4974/9649.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8446/305,4974/9649?
Given fractions are 8446/305,4974/9649
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 8446/305,4974/9649, numerators are 8446,4974
Denominators are 305,9649
The GCF of 8446,4974 is 2 .
LCM of 305,9649 is 2942945.
The greatest common factor of 8446/305,4974/9649 = [GCF of 8446,4974]/[LCM of 305,9649]= 2/2942945
Therefore, the GCF of 8446/305,4974/9649 is 2/2942945.
To find the highest common factor of 8446,4974, we have to find the factors of both numbers and list the highest common factor.
The factors of 8446 are 1, 2, 41, 82, 103, 206, 4223, 8446
The factors of 4974 are 1, 2, 3, 6, 829, 1658, 2487, 4974
The HCF of 8446,4974 is 2.
Lets's calculate GCF of 8446,4974
| 2 | 8446, 4974 |
| 4223, 2487 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8446,4974 By Matching Biggest Common Factor Method
Now, list down the factors of 8446
:1,2,41,82,103,206,4223,8446
Now, list down the factors of 4974
:1,2,3,6,829,1658,2487,4974
Greatest Common Factor
We found the factors 8446,4974 . The biggest common factor number is the GCF number.
So the greatest common factor 8446,4974 is 2.
Lets's calculate LCM of 305,9649
Given numbers has no common factors except 1. So, there LCM is their product i.e 2942945
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2942945
Therefore, the GCF of Fractions 8446/305,4974/9649 is 2/2942945
Least Common Multiple of 305,9649 with GCF Formula
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 305,9649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,9649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,9649) x common factors =1 x 1 = 1
LCM(305,9649) = ( 305 × 9649 ) / 1
LCM(305,9649) = 2942945 / 1
LCM(305,9649) = 2942945
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8446/305, 4974/9649
1. What is the HCF of 8446,4974?
The HCF of 8446,4974 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 8446/305, 4974/9649?
Answer: GCF of Numerators as per given numbers 8446/305, 4974/9649 is
GCF of Numerators i.e. for 8446,4974 is 2
LCM of denominators i.e. for 305,9649 is 2942945.
Thus, GCF of Fractions is 2/2942945.Finally, GCF of Fractions for 8446/305, 4974/9649 is 2/2942945.