GCF of 3324/440, 5574/509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3324/440, 5574/509 i.e 6/223960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3324/440, 5574/509.
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 3324/440,5574/509?
Given fractions are 3324/440,5574/509
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 3324/440,5574/509, numerators are 3324,5574
Denominators are 440,509
The GCF of 3324,5574 is 6 .
LCM of 440,509 is 223960.
The greatest common factor of 3324/440,5574/509 = [GCF of 3324,5574]/[LCM of 440,509]= 6/223960
Therefore, the GCF of 3324/440,5574/509 is 6/223960.
To find the highest common factor of 3324,5574, we have to find the factors of both numbers and list the highest common factor.
The factors of 3324 are 1, 2, 3, 4, 6, 12, 277, 554, 831, 1108, 1662, 3324
The factors of 5574 are 1, 2, 3, 6, 929, 1858, 2787, 5574
The HCF of 3324,5574 is 6.
Lets's calculate GCF of 3324,5574
| 2 | 3324, 5574 |
| 3 | 1662, 2787 |
| 554, 929 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3324,5574 By Matching Biggest Common Factor Method
Now, list down the factors of 3324
:1,2,3,4,6,12,277,554,831,1108,1662,3324
Now, list down the factors of 5574
:1,2,3,6,929,1858,2787,5574
Greatest Common Factor
We found the factors 3324,5574 . The biggest common factor number is the GCF number.
So the greatest common factor 3324,5574 is 6.
Lets's calculate LCM of 440,509
Given numbers has no common factors except 1. So, there LCM is their product i.e 223960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/223960
Therefore, the GCF of Fractions 3324/440,5574/509 is 6/223960
Least Common Multiple of 440,509 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 440,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(440,509) x common factors =1 x 1 = 1
LCM(440,509) = ( 440 × 509 ) / 1
LCM(440,509) = 223960 / 1
LCM(440,509) = 223960
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FAQs on GCF of Fractions of 3324/440, 5574/509
1. What is the HCF of 3324,5574?
The HCF of 3324,5574 is 6
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 3324/440, 5574/509?
Answer: GCF of Numerators as per given numbers 3324/440, 5574/509 is
GCF of Numerators i.e. for 3324,5574 is 6
LCM of denominators i.e. for 440,509 is 223960.
Thus, GCF of Fractions is 6/223960.Finally, GCF of Fractions for 3324/440, 5574/509 is 6/223960.