GCF of 7464/494, 2144/3366
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7464/494, 2144/3366 i.e 8/831402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7464/494, 2144/3366.
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 7464/494,2144/3366?
Given fractions are 7464/494,2144/3366
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 7464/494,2144/3366, numerators are 7464,2144
Denominators are 494,3366
The GCF of 7464,2144 is 8 .
LCM of 494,3366 is 831402.
The greatest common factor of 7464/494,2144/3366 = [GCF of 7464,2144]/[LCM of 494,3366]= 8/831402
Therefore, the GCF of 7464/494,2144/3366 is 8/831402.
To find the highest common factor of 7464,2144, we have to find the factors of both numbers and list the highest common factor.
The factors of 7464 are 1, 2, 3, 4, 6, 8, 12, 24, 311, 622, 933, 1244, 1866, 2488, 3732, 7464
The factors of 2144 are 1, 2, 4, 8, 16, 32, 67, 134, 268, 536, 1072, 2144
The HCF of 7464,2144 is 8.
Lets's calculate GCF of 7464,2144
| 2 | 7464, 2144 |
| 2 | 3732, 1072 |
| 2 | 1866, 536 |
| 933, 268 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 7464,2144 By Matching Biggest Common Factor Method
Now, list down the factors of 7464
:1,2,3,4,6,8,12,24,311,622,933,1244,1866,2488,3732,7464
Now, list down the factors of 2144
:1,2,4,8,16,32,67,134,268,536,1072,2144
Greatest Common Factor
We found the factors 7464,2144 . The biggest common factor number is the GCF number.
So the greatest common factor 7464,2144 is 8.
Lets's calculate LCM of 494,3366
| 2 | 494, 3366 |
| 247, 1683 |
∴ So the LCM of the given numbers is 2 x 247 x 1683 = 831402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/831402
Therefore, the GCF of Fractions 7464/494,2144/3366 is 8/831402
Least Common Multiple of 494,3366 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 494,3366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,3366) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(494,3366) x common factors =2 x 1 = 2
LCM(494,3366) = ( 494 × 3366 ) / 2
LCM(494,3366) = 1662804 / 2
LCM(494,3366) = 831402
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FAQs on GCF of Fractions of 7464/494, 2144/3366
1. What is the HCF of 7464,2144?
The HCF of 7464,2144 is 8
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 7464/494, 2144/3366?
Answer: GCF of Numerators as per given numbers 7464/494, 2144/3366 is
GCF of Numerators i.e. for 7464,2144 is 8
LCM of denominators i.e. for 494,3366 is 831402.
Thus, GCF of Fractions is 8/831402.Finally, GCF of Fractions for 7464/494, 2144/3366 is 8/831402.