GCF of 7273/500, 4489/1320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7273/500, 4489/1320 i.e 1/33000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7273/500, 4489/1320.
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 7273/500,4489/1320?
Given fractions are 7273/500,4489/1320
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 7273/500,4489/1320, numerators are 7273,4489
Denominators are 500,1320
The GCF of 7273,4489 is 1 .
LCM of 500,1320 is 33000.
The greatest common factor of 7273/500,4489/1320 = [GCF of 7273,4489]/[LCM of 500,1320]= 1/33000
Therefore, the GCF of 7273/500,4489/1320 is 1/33000.
To find the highest common factor of 7273,4489, we have to find the factors of both numbers and list the highest common factor.
The factors of 7273 are 1, 7, 1039, 7273
The factors of 4489 are 1, 67, 4489
The HCF of 7273,4489 is 1.
Lets's calculate GCF of 7273,4489
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7273,4489 By Matching Biggest Common Factor Method
Now, list down the factors of 7273
:1,7,1039,7273
Now, list down the factors of 4489
:1,67,4489
Greatest Common Factor
We found the factors 7273,4489 . The biggest common factor number is the GCF number.
So the greatest common factor 7273,4489 is 1.
Lets's calculate LCM of 500,1320
| 2 | 500, 1320 |
| 2 | 250, 660 |
| 5 | 125, 330 |
| 25, 66 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 25 x 66 = 33000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33000
Therefore, the GCF of Fractions 7273/500,4489/1320 is 1/33000
Least Common Multiple of 500,1320 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 500,1320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,1320) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(500,1320) x common factors =20 x 1 = 20
LCM(500,1320) = ( 500 × 1320 ) / 20
LCM(500,1320) = 660000 / 20
LCM(500,1320) = 33000
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FAQs on GCF of Fractions of 7273/500, 4489/1320
1. What is the HCF of 7273,4489?
The HCF of 7273,4489 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 7273/500, 4489/1320?
Answer: GCF of Numerators as per given numbers 7273/500, 4489/1320 is
GCF of Numerators i.e. for 7273,4489 is 1
LCM of denominators i.e. for 500,1320 is 33000.
Thus, GCF of Fractions is 1/33000.Finally, GCF of Fractions for 7273/500, 4489/1320 is 1/33000.