GCF of 4800/146, 7545/7312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4800/146, 7545/7312 i.e 15/533776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4800/146, 7545/7312.
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 4800/146,7545/7312?
Given fractions are 4800/146,7545/7312
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 4800/146,7545/7312, numerators are 4800,7545
Denominators are 146,7312
The GCF of 4800,7545 is 15 .
LCM of 146,7312 is 533776.
The greatest common factor of 4800/146,7545/7312 = [GCF of 4800,7545]/[LCM of 146,7312]= 15/533776
Therefore, the GCF of 4800/146,7545/7312 is 15/533776.
To find the highest common factor of 4800,7545, we have to find the factors of both numbers and list the highest common factor.
The factors of 4800 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, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, 4800
The factors of 7545 are 1, 3, 5, 15, 503, 1509, 2515, 7545
The HCF of 4800,7545 is 15.
Lets's calculate GCF of 4800,7545
| 3 | 4800, 7545 |
| 5 | 1600, 2515 |
| 320, 503 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 4800,7545 By Matching Biggest Common Factor Method
Now, list down the factors of 4800
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,150,160,192,200,240,300,320,400,480,600,800,960,1200,1600,2400,4800
Now, list down the factors of 7545
:1,3,5,15,503,1509,2515,7545
Greatest Common Factor
We found the factors 4800,7545 . The biggest common factor number is the GCF number.
So the greatest common factor 4800,7545 is 15.
Lets's calculate LCM of 146,7312
| 2 | 146, 7312 |
| 73, 3656 |
∴ So the LCM of the given numbers is 2 x 73 x 3656 = 533776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/533776
Therefore, the GCF of Fractions 4800/146,7545/7312 is 15/533776
Least Common Multiple of 146,7312 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 146,7312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,7312) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(146,7312) x common factors =2 x 1 = 2
LCM(146,7312) = ( 146 × 7312 ) / 2
LCM(146,7312) = 1067552 / 2
LCM(146,7312) = 533776
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FAQs on GCF of Fractions of 4800/146, 7545/7312
1. What is the HCF of 4800,7545?
The HCF of 4800,7545 is 15
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 4800/146, 7545/7312?
Answer: GCF of Numerators as per given numbers 4800/146, 7545/7312 is
GCF of Numerators i.e. for 4800,7545 is 15
LCM of denominators i.e. for 146,7312 is 533776.
Thus, GCF of Fractions is 15/533776.Finally, GCF of Fractions for 4800/146, 7545/7312 is 15/533776.