GCF of 2720/52, 9600/650
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2720/52, 9600/650 i.e 160/1300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2720/52, 9600/650.
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 2720/52,9600/650?
Given fractions are 2720/52,9600/650
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 2720/52,9600/650, numerators are 2720,9600
Denominators are 52,650
The GCF of 2720,9600 is 160 .
LCM of 52,650 is 1300.
The greatest common factor of 2720/52,9600/650 = [GCF of 2720,9600]/[LCM of 52,650]= 160/1300
Therefore, the GCF of 2720/52,9600/650 is 160/1300.
To find the highest common factor of 2720,9600, we have to find the factors of both numbers and list the highest common factor.
The factors of 2720 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 80, 85, 136, 160, 170, 272, 340, 544, 680, 1360, 2720
The factors of 9600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600
The HCF of 2720,9600 is 160.
Lets's calculate GCF of 2720,9600
| 2 | 2720, 9600 |
| 2 | 1360, 4800 |
| 2 | 680, 2400 |
| 2 | 340, 1200 |
| 2 | 170, 600 |
| 5 | 85, 300 |
| 17, 60 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 5 = 160
Greatest Common Factor of 2720,9600 By Matching Biggest Common Factor Method
Now, list down the factors of 2720
:1,2,4,5,8,10,16,17,20,32,34,40,68,80,85,136,160,170,272,340,544,680,1360,2720
Now, list down the factors of 9600
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,128,150,160,192,200,240,300,320,384,400,480,600,640,800,960,1200,1600,1920,2400,3200,4800,9600
Greatest Common Factor
We found the factors 2720,9600 . The biggest common factor number is the GCF number.
So the greatest common factor 2720,9600 is 160.
Lets's calculate LCM of 52,650
| 2 | 52, 650 |
| 13 | 26, 325 |
| 2, 25 |
∴ So the LCM of the given numbers is 2 x 13 x 2 x 25 = 1300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 160/1300
Therefore, the GCF of Fractions 2720/52,9600/650 is 160/1300
Least Common Multiple of 52,650 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 52,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,650) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(52,650) x common factors =26 x 1 = 26
LCM(52,650) = ( 52 × 650 ) / 26
LCM(52,650) = 33800 / 26
LCM(52,650) = 1300
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FAQs on GCF of Fractions of 2720/52, 9600/650
1. What is the HCF of 2720,9600?
The HCF of 2720,9600 is 160
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 2720/52, 9600/650?
Answer: GCF of Numerators as per given numbers 2720/52, 9600/650 is
GCF of Numerators i.e. for 2720,9600 is 160
LCM of denominators i.e. for 52,650 is 1300.
Thus, GCF of Fractions is 160/1300.Finally, GCF of Fractions for 2720/52, 9600/650 is 160/1300.