GCF of 8224/664, 9360/1737
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8224/664, 9360/1737 i.e 16/1153368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8224/664, 9360/1737.
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 8224/664,9360/1737?
Given fractions are 8224/664,9360/1737
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 8224/664,9360/1737, numerators are 8224,9360
Denominators are 664,1737
The GCF of 8224,9360 is 16 .
LCM of 664,1737 is 1153368.
The greatest common factor of 8224/664,9360/1737 = [GCF of 8224,9360]/[LCM of 664,1737]= 16/1153368
Therefore, the GCF of 8224/664,9360/1737 is 16/1153368.
To find the highest common factor of 8224,9360, we have to find the factors of both numbers and list the highest common factor.
The factors of 8224 are 1, 2, 4, 8, 16, 32, 257, 514, 1028, 2056, 4112, 8224
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 HCF of 8224,9360 is 16.
Lets's calculate GCF of 8224,9360
| 2 | 8224, 9360 |
| 2 | 4112, 4680 |
| 2 | 2056, 2340 |
| 2 | 1028, 1170 |
| 514, 585 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 8224,9360 By Matching Biggest Common Factor Method
Now, list down the factors of 8224
:1,2,4,8,16,32,257,514,1028,2056,4112,8224
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
Greatest Common Factor
We found the factors 8224,9360 . The biggest common factor number is the GCF number.
So the greatest common factor 8224,9360 is 16.
Lets's calculate LCM of 664,1737
Given numbers has no common factors except 1. So, there LCM is their product i.e 1153368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1153368
Therefore, the GCF of Fractions 8224/664,9360/1737 is 16/1153368
Least Common Multiple of 664,1737 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 664,1737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,1737) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(664,1737) x common factors =1 x 1 = 1
LCM(664,1737) = ( 664 × 1737 ) / 1
LCM(664,1737) = 1153368 / 1
LCM(664,1737) = 1153368
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FAQs on GCF of Fractions of 8224/664, 9360/1737
1. What is the HCF of 8224,9360?
The HCF of 8224,9360 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 8224/664, 9360/1737?
Answer: GCF of Numerators as per given numbers 8224/664, 9360/1737 is
GCF of Numerators i.e. for 8224,9360 is 16
LCM of denominators i.e. for 664,1737 is 1153368.
Thus, GCF of Fractions is 16/1153368.Finally, GCF of Fractions for 8224/664, 9360/1737 is 16/1153368.