GCF of 9728/269, 6600/7160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9728/269, 6600/7160 i.e 8/1926040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9728/269, 6600/7160.
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 9728/269,6600/7160?
Given fractions are 9728/269,6600/7160
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 9728/269,6600/7160, numerators are 9728,6600
Denominators are 269,7160
The GCF of 9728,6600 is 8 .
LCM of 269,7160 is 1926040.
The greatest common factor of 9728/269,6600/7160 = [GCF of 9728,6600]/[LCM of 269,7160]= 8/1926040
Therefore, the GCF of 9728/269,6600/7160 is 8/1926040.
To find the highest common factor of 9728,6600, we have to find the factors of both numbers and list the highest common factor.
The factors of 9728 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 512, 608, 1216, 2432, 4864, 9728
The factors of 6600 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 132, 150, 165, 200, 220, 264, 275, 300, 330, 440, 550, 600, 660, 825, 1100, 1320, 1650, 2200, 3300, 6600
The HCF of 9728,6600 is 8.
Lets's calculate GCF of 9728,6600
| 2 | 9728, 6600 |
| 2 | 4864, 3300 |
| 2 | 2432, 1650 |
| 1216, 825 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 9728,6600 By Matching Biggest Common Factor Method
Now, list down the factors of 9728
:1,2,4,8,16,19,32,38,64,76,128,152,256,304,512,608,1216,2432,4864,9728
Now, list down the factors of 6600
:1,2,3,4,5,6,8,10,11,12,15,20,22,24,25,30,33,40,44,50,55,60,66,75,88,100,110,120,132,150,165,200,220,264,275,300,330,440,550,600,660,825,1100,1320,1650,2200,3300,6600
Greatest Common Factor
We found the factors 9728,6600 . The biggest common factor number is the GCF number.
So the greatest common factor 9728,6600 is 8.
Lets's calculate LCM of 269,7160
Given numbers has no common factors except 1. So, there LCM is their product i.e 1926040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1926040
Therefore, the GCF of Fractions 9728/269,6600/7160 is 8/1926040
Least Common Multiple of 269,7160 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 269,7160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,7160) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,7160) x common factors =1 x 1 = 1
LCM(269,7160) = ( 269 × 7160 ) / 1
LCM(269,7160) = 1926040 / 1
LCM(269,7160) = 1926040
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FAQs on GCF of Fractions of 9728/269, 6600/7160
1. What is the HCF of 9728,6600?
The HCF of 9728,6600 is 8
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 9728/269, 6600/7160?
Answer: GCF of Numerators as per given numbers 9728/269, 6600/7160 is
GCF of Numerators i.e. for 9728,6600 is 8
LCM of denominators i.e. for 269,7160 is 1926040.
Thus, GCF of Fractions is 8/1926040.Finally, GCF of Fractions for 9728/269, 6600/7160 is 8/1926040.