GCF of 9449/555, 1200/4584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9449/555, 1200/4584 i.e 1/848040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9449/555, 1200/4584.
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 9449/555,1200/4584?
Given fractions are 9449/555,1200/4584
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 9449/555,1200/4584, numerators are 9449,1200
Denominators are 555,4584
The GCF of 9449,1200 is 1 .
LCM of 555,4584 is 848040.
The greatest common factor of 9449/555,1200/4584 = [GCF of 9449,1200]/[LCM of 555,4584]= 1/848040
Therefore, the GCF of 9449/555,1200/4584 is 1/848040.
To find the highest common factor of 9449,1200, we have to find the factors of both numbers and list the highest common factor.
The factors of 9449 are 1, 11, 859, 9449
The factors of 1200 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200
The HCF of 9449,1200 is 1.
Lets's calculate GCF of 9449,1200
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9449,1200 By Matching Biggest Common Factor Method
Now, list down the factors of 9449
:1,11,859,9449
Now, list down the factors of 1200
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,150,200,240,300,400,600,1200
Greatest Common Factor
We found the factors 9449,1200 . The biggest common factor number is the GCF number.
So the greatest common factor 9449,1200 is 1.
Lets's calculate LCM of 555,4584
| 3 | 555, 4584 |
| 185, 1528 |
∴ So the LCM of the given numbers is 3 x 185 x 1528 = 848040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/848040
Therefore, the GCF of Fractions 9449/555,1200/4584 is 1/848040
Least Common Multiple of 555,4584 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 555,4584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(555,4584) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(555,4584) x common factors =3 x 1 = 3
LCM(555,4584) = ( 555 × 4584 ) / 3
LCM(555,4584) = 2544120 / 3
LCM(555,4584) = 848040
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FAQs on GCF of Fractions of 9449/555, 1200/4584
1. What is the HCF of 9449,1200?
The HCF of 9449,1200 is 1
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 9449/555, 1200/4584?
Answer: GCF of Numerators as per given numbers 9449/555, 1200/4584 is
GCF of Numerators i.e. for 9449,1200 is 1
LCM of denominators i.e. for 555,4584 is 848040.
Thus, GCF of Fractions is 1/848040.Finally, GCF of Fractions for 9449/555, 1200/4584 is 1/848040.