GCF of 5450/288, 4400/8589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5450/288, 4400/8589 i.e 50/824544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5450/288, 4400/8589.
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 5450/288,4400/8589?
Given fractions are 5450/288,4400/8589
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 5450/288,4400/8589, numerators are 5450,4400
Denominators are 288,8589
The GCF of 5450,4400 is 50 .
LCM of 288,8589 is 824544.
The greatest common factor of 5450/288,4400/8589 = [GCF of 5450,4400]/[LCM of 288,8589]= 50/824544
Therefore, the GCF of 5450/288,4400/8589 is 50/824544.
To find the highest common factor of 5450,4400, we have to find the factors of both numbers and list the highest common factor.
The factors of 5450 are 1, 2, 5, 10, 25, 50, 109, 218, 545, 1090, 2725, 5450
The factors of 4400 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, 4400
The HCF of 5450,4400 is 50.
Lets's calculate GCF of 5450,4400
| 2 | 5450, 4400 |
| 5 | 2725, 2200 |
| 5 | 545, 440 |
| 109, 88 |
∴ So the GCF of the given numbers is 2 x 5 x 5 = 50
Greatest Common Factor of 5450,4400 By Matching Biggest Common Factor Method
Now, list down the factors of 5450
:1,2,5,10,25,50,109,218,545,1090,2725,5450
Now, list down the factors of 4400
:1,2,4,5,8,10,11,16,20,22,25,40,44,50,55,80,88,100,110,176,200,220,275,400,440,550,880,1100,2200,4400
Greatest Common Factor
We found the factors 5450,4400 . The biggest common factor number is the GCF number.
So the greatest common factor 5450,4400 is 50.
Lets's calculate LCM of 288,8589
| 3 | 288, 8589 |
| 96, 2863 |
∴ So the LCM of the given numbers is 3 x 96 x 2863 = 824544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/824544
Therefore, the GCF of Fractions 5450/288,4400/8589 is 50/824544
Least Common Multiple of 288,8589 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 288,8589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,8589) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(288,8589) x common factors =3 x 1 = 3
LCM(288,8589) = ( 288 × 8589 ) / 3
LCM(288,8589) = 2473632 / 3
LCM(288,8589) = 824544
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FAQs on GCF of Fractions of 5450/288, 4400/8589
1. What is the HCF of 5450,4400?
The HCF of 5450,4400 is 50
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 5450/288, 4400/8589?
Answer: GCF of Numerators as per given numbers 5450/288, 4400/8589 is
GCF of Numerators i.e. for 5450,4400 is 50
LCM of denominators i.e. for 288,8589 is 824544.
Thus, GCF of Fractions is 50/824544.Finally, GCF of Fractions for 5450/288, 4400/8589 is 50/824544.