Use our free GCF of Fractions Calculator tool to compute the GCF of 9360/519, 1584/1798 i.e 144/933162 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9360/519, 1584/1798.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9360/519,1584/1798
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 9360/519,1584/1798, numerators are 9360,1584
Denominators are 519,1798
The GCF of 9360,1584 is 144 .
LCM of 519,1798 is 933162.
The greatest common factor of 9360/519,1584/1798 = [GCF of 9360,1584]/[LCM of 519,1798]= 144/933162
Therefore, the GCF of 9360/519,1584/1798 is 144/933162.
To find the highest common factor of 9360,1584, we have to find the factors of both numbers and list the highest common factor.
The factors of 9360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 30, 36, 39, 40, 45, 48, 52, 60, 65, 72, 78, 80, 90, 104, 117, 120, 130, 144, 156, 180, 195, 208, 234, 240, 260, 312, 360, 390, 468, 520, 585, 624, 720, 780, 936, 1040, 1170, 1560, 1872, 2340, 3120, 4680, 9360
The factors of 1584 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 66, 72, 88, 99, 132, 144, 176, 198, 264, 396, 528, 792, 1584
The HCF of 9360,1584 is 144.
Lets's calculate GCF of 9360,1584
2 | 9360, 1584 |
2 | 4680, 792 |
2 | 2340, 396 |
2 | 1170, 198 |
3 | 585, 99 |
3 | 195, 33 |
65, 11 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 = 144
Now, list down the factors of 9360
:1,2,3,4,5,6,8,9,10,12,13,15,16,18,20,24,26,30,36,39,40,45,48,52,60,65,72,78,80,90,104,117,120,130,144,156,180,195,208,234,240,260,312,360,390,468,520,585,624,720,780,936,1040,1170,1560,1872,2340,3120,4680,9360
Now, list down the factors of 1584
:1,2,3,4,6,8,9,11,12,16,18,22,24,33,36,44,48,66,72,88,99,132,144,176,198,264,396,528,792,1584
Greatest Common Factor
We found the factors 9360,1584 . The biggest common factor number is the GCF number.
So the greatest common factor 9360,1584 is 144.
Lets's calculate LCM of 519,1798
Given numbers has no common factors except 1. So, there LCM is their product i.e 933162
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 144/933162
Therefore, the GCF of Fractions 9360/519,1584/1798 is 144/933162
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 519,1798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,1798) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(519,1798) x common factors =1 x 1 = 1
LCM(519,1798) = ( 519 × 1798 ) / 1
LCM(519,1798) = 933162 / 1
LCM(519,1798) = 933162
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9360,1584?
The HCF of 9360,1584 is 144
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 9360/519, 1584/1798?
Answer: GCF of Numerators as per given numbers 9360/519, 1584/1798 is
GCF of Numerators i.e. for 9360,1584 is 144
LCM of denominators i.e. for 519,1798 is 933162.
Thus, GCF of Fractions is 144/933162.Finally, GCF of Fractions for 9360/519, 1584/1798 is 144/933162.