GCF of 1440/446, 3248/8868
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1440/446, 3248/8868 i.e 16/1977564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1440/446, 3248/8868.
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 1440/446,3248/8868?
Given fractions are 1440/446,3248/8868
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 1440/446,3248/8868, numerators are 1440,3248
Denominators are 446,8868
The GCF of 1440,3248 is 16 .
LCM of 446,8868 is 1977564.
The greatest common factor of 1440/446,3248/8868 = [GCF of 1440,3248]/[LCM of 446,8868]= 16/1977564
Therefore, the GCF of 1440/446,3248/8868 is 16/1977564.
To find the highest common factor of 1440,3248, we have to find the factors of both numbers and list the highest common factor.
The factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440
The factors of 3248 are 1, 2, 4, 7, 8, 14, 16, 28, 29, 56, 58, 112, 116, 203, 232, 406, 464, 812, 1624, 3248
The HCF of 1440,3248 is 16.
Lets's calculate GCF of 1440,3248
| 2 | 1440, 3248 |
| 2 | 720, 1624 |
| 2 | 360, 812 |
| 2 | 180, 406 |
| 90, 203 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 1440,3248 By Matching Biggest Common Factor Method
Now, list down the factors of 1440
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,72,80,90,96,120,144,160,180,240,288,360,480,720,1440
Now, list down the factors of 3248
:1,2,4,7,8,14,16,28,29,56,58,112,116,203,232,406,464,812,1624,3248
Greatest Common Factor
We found the factors 1440,3248 . The biggest common factor number is the GCF number.
So the greatest common factor 1440,3248 is 16.
Lets's calculate LCM of 446,8868
| 2 | 446, 8868 |
| 223, 4434 |
∴ So the LCM of the given numbers is 2 x 223 x 4434 = 1977564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1977564
Therefore, the GCF of Fractions 1440/446,3248/8868 is 16/1977564
Least Common Multiple of 446,8868 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 446,8868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,8868) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(446,8868) x common factors =2 x 1 = 2
LCM(446,8868) = ( 446 × 8868 ) / 2
LCM(446,8868) = 3955128 / 2
LCM(446,8868) = 1977564
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 1440/446, 3248/8868
1. What is the HCF of 1440,3248?
The HCF of 1440,3248 is 16
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 1440/446, 3248/8868?
Answer: GCF of Numerators as per given numbers 1440/446, 3248/8868 is
GCF of Numerators i.e. for 1440,3248 is 16
LCM of denominators i.e. for 446,8868 is 1977564.
Thus, GCF of Fractions is 16/1977564.Finally, GCF of Fractions for 1440/446, 3248/8868 is 16/1977564.