GCF of 6490/446, 5152/9946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6490/446, 5152/9946 i.e 2/2217958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6490/446, 5152/9946.
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 6490/446,5152/9946?
Given fractions are 6490/446,5152/9946
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 6490/446,5152/9946, numerators are 6490,5152
Denominators are 446,9946
The GCF of 6490,5152 is 2 .
LCM of 446,9946 is 2217958.
The greatest common factor of 6490/446,5152/9946 = [GCF of 6490,5152]/[LCM of 446,9946]= 2/2217958
Therefore, the GCF of 6490/446,5152/9946 is 2/2217958.
To find the highest common factor of 6490,5152, we have to find the factors of both numbers and list the highest common factor.
The factors of 6490 are 1, 2, 5, 10, 11, 22, 55, 59, 110, 118, 295, 590, 649, 1298, 3245, 6490
The factors of 5152 are 1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 92, 112, 161, 184, 224, 322, 368, 644, 736, 1288, 2576, 5152
The HCF of 6490,5152 is 2.
Lets's calculate GCF of 6490,5152
| 2 | 6490, 5152 |
| 3245, 2576 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6490,5152 By Matching Biggest Common Factor Method
Now, list down the factors of 6490
:1,2,5,10,11,22,55,59,110,118,295,590,649,1298,3245,6490
Now, list down the factors of 5152
:1,2,4,7,8,14,16,23,28,32,46,56,92,112,161,184,224,322,368,644,736,1288,2576,5152
Greatest Common Factor
We found the factors 6490,5152 . The biggest common factor number is the GCF number.
So the greatest common factor 6490,5152 is 2.
Lets's calculate LCM of 446,9946
| 2 | 446, 9946 |
| 223, 4973 |
∴ So the LCM of the given numbers is 2 x 223 x 4973 = 2217958
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2217958
Therefore, the GCF of Fractions 6490/446,5152/9946 is 2/2217958
Least Common Multiple of 446,9946 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 446,9946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,9946) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(446,9946) x common factors =2 x 1 = 2
LCM(446,9946) = ( 446 × 9946 ) / 2
LCM(446,9946) = 4435916 / 2
LCM(446,9946) = 2217958
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6490/446, 5152/9946
1. What is the HCF of 6490,5152?
The HCF of 6490,5152 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 6490/446, 5152/9946?
Answer: GCF of Numerators as per given numbers 6490/446, 5152/9946 is
GCF of Numerators i.e. for 6490,5152 is 2
LCM of denominators i.e. for 446,9946 is 2217958.
Thus, GCF of Fractions is 2/2217958.Finally, GCF of Fractions for 6490/446, 5152/9946 is 2/2217958.