GCF of 8754/520, 9600/2755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8754/520, 9600/2755 i.e 6/286520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8754/520, 9600/2755.
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 8754/520,9600/2755?
Given fractions are 8754/520,9600/2755
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 8754/520,9600/2755, numerators are 8754,9600
Denominators are 520,2755
The GCF of 8754,9600 is 6 .
LCM of 520,2755 is 286520.
The greatest common factor of 8754/520,9600/2755 = [GCF of 8754,9600]/[LCM of 520,2755]= 6/286520
Therefore, the GCF of 8754/520,9600/2755 is 6/286520.
To find the highest common factor of 8754,9600, we have to find the factors of both numbers and list the highest common factor.
The factors of 8754 are 1, 2, 3, 6, 1459, 2918, 4377, 8754
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 8754,9600 is 6.
Lets's calculate GCF of 8754,9600
| 2 | 8754, 9600 |
| 3 | 4377, 4800 |
| 1459, 1600 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8754,9600 By Matching Biggest Common Factor Method
Now, list down the factors of 8754
:1,2,3,6,1459,2918,4377,8754
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 8754,9600 . The biggest common factor number is the GCF number.
So the greatest common factor 8754,9600 is 6.
Lets's calculate LCM of 520,2755
| 5 | 520, 2755 |
| 104, 551 |
∴ So the LCM of the given numbers is 5 x 104 x 551 = 286520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/286520
Therefore, the GCF of Fractions 8754/520,9600/2755 is 6/286520
Least Common Multiple of 520,2755 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 520,2755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,2755) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(520,2755) x common factors =5 x 1 = 5
LCM(520,2755) = ( 520 × 2755 ) / 5
LCM(520,2755) = 1432600 / 5
LCM(520,2755) = 286520
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FAQs on GCF of Fractions of 8754/520, 9600/2755
1. What is the HCF of 8754,9600?
The HCF of 8754,9600 is 6
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 8754/520, 9600/2755?
Answer: GCF of Numerators as per given numbers 8754/520, 9600/2755 is
GCF of Numerators i.e. for 8754,9600 is 6
LCM of denominators i.e. for 520,2755 is 286520.
Thus, GCF of Fractions is 6/286520.Finally, GCF of Fractions for 8754/520, 9600/2755 is 6/286520.