GCF of 1440/333, 9459/9084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1440/333, 9459/9084 i.e 9/1008324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1440/333, 9459/9084.
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 1440/333,9459/9084?
Given fractions are 1440/333,9459/9084
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 1440/333,9459/9084, numerators are 1440,9459
Denominators are 333,9084
The GCF of 1440,9459 is 9 .
LCM of 333,9084 is 1008324.
The greatest common factor of 1440/333,9459/9084 = [GCF of 1440,9459]/[LCM of 333,9084]= 9/1008324
Therefore, the GCF of 1440/333,9459/9084 is 9/1008324.
To find the highest common factor of 1440,9459, 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 9459 are 1, 3, 9, 1051, 3153, 9459
The HCF of 1440,9459 is 9.
Lets's calculate GCF of 1440,9459
| 3 | 1440, 9459 |
| 3 | 480, 3153 |
| 160, 1051 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 1440,9459 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 9459
:1,3,9,1051,3153,9459
Greatest Common Factor
We found the factors 1440,9459 . The biggest common factor number is the GCF number.
So the greatest common factor 1440,9459 is 9.
Lets's calculate LCM of 333,9084
| 3 | 333, 9084 |
| 111, 3028 |
∴ So the LCM of the given numbers is 3 x 111 x 3028 = 1008324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1008324
Therefore, the GCF of Fractions 1440/333,9459/9084 is 9/1008324
Least Common Multiple of 333,9084 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 333,9084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,9084) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(333,9084) x common factors =3 x 1 = 3
LCM(333,9084) = ( 333 × 9084 ) / 3
LCM(333,9084) = 3024972 / 3
LCM(333,9084) = 1008324
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FAQs on GCF of Fractions of 1440/333, 9459/9084
1. What is the HCF of 1440,9459?
The HCF of 1440,9459 is 9
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 1440/333, 9459/9084?
Answer: GCF of Numerators as per given numbers 1440/333, 9459/9084 is
GCF of Numerators i.e. for 1440,9459 is 9
LCM of denominators i.e. for 333,9084 is 1008324.
Thus, GCF of Fractions is 9/1008324.Finally, GCF of Fractions for 1440/333, 9459/9084 is 9/1008324.