GCF of 7233/450, 9829/1625
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7233/450, 9829/1625 i.e 1/29250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7233/450, 9829/1625.
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 7233/450,9829/1625?
Given fractions are 7233/450,9829/1625
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 7233/450,9829/1625, numerators are 7233,9829
Denominators are 450,1625
The GCF of 7233,9829 is 1 .
LCM of 450,1625 is 29250.
The greatest common factor of 7233/450,9829/1625 = [GCF of 7233,9829]/[LCM of 450,1625]= 1/29250
Therefore, the GCF of 7233/450,9829/1625 is 1/29250.
To find the highest common factor of 7233,9829, we have to find the factors of both numbers and list the highest common factor.
The factors of 7233 are 1, 3, 2411, 7233
The factors of 9829 are 1, 9829
The HCF of 7233,9829 is 1.
Lets's calculate GCF of 7233,9829
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7233,9829 By Matching Biggest Common Factor Method
Now, list down the factors of 7233
:1,3,2411,7233
Now, list down the factors of 9829
:1,9829
Greatest Common Factor
We found the factors 7233,9829 . The biggest common factor number is the GCF number.
So the greatest common factor 7233,9829 is 1.
Lets's calculate LCM of 450,1625
| 5 | 450, 1625 |
| 5 | 90, 325 |
| 18, 65 |
∴ So the LCM of the given numbers is 5 x 5 x 18 x 65 = 29250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29250
Therefore, the GCF of Fractions 7233/450,9829/1625 is 1/29250
Least Common Multiple of 450,1625 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 450,1625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,1625) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(450,1625) x common factors =25 x 1 = 25
LCM(450,1625) = ( 450 × 1625 ) / 25
LCM(450,1625) = 731250 / 25
LCM(450,1625) = 29250
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FAQs on GCF of Fractions of 7233/450, 9829/1625
1. What is the HCF of 7233,9829?
The HCF of 7233,9829 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 7233/450, 9829/1625?
Answer: GCF of Numerators as per given numbers 7233/450, 9829/1625 is
GCF of Numerators i.e. for 7233,9829 is 1
LCM of denominators i.e. for 450,1625 is 29250.
Thus, GCF of Fractions is 1/29250.Finally, GCF of Fractions for 7233/450, 9829/1625 is 1/29250.