GCF of 489/715, 5415/820
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 489/715, 5415/820 i.e 3/117260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 489/715, 5415/820.
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 489/715,5415/820?
Given fractions are 489/715,5415/820
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 489/715,5415/820, numerators are 489,5415
Denominators are 715,820
The GCF of 489,5415 is 3 .
LCM of 715,820 is 117260.
The greatest common factor of 489/715,5415/820 = [GCF of 489,5415]/[LCM of 715,820]= 3/117260
Therefore, the GCF of 489/715,5415/820 is 3/117260.
To find the highest common factor of 489,5415, we have to find the factors of both numbers and list the highest common factor.
The factors of 489 are 1, 3, 163, 489
The factors of 5415 are 1, 3, 5, 15, 19, 57, 95, 285, 361, 1083, 1805, 5415
The HCF of 489,5415 is 3.
Lets's calculate GCF of 489,5415
| 3 | 489, 5415 |
| 163, 1805 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 489,5415 By Matching Biggest Common Factor Method
Now, list down the factors of 489
:1,3,163,489
Now, list down the factors of 5415
:1,3,5,15,19,57,95,285,361,1083,1805,5415
Greatest Common Factor
We found the factors 489,5415 . The biggest common factor number is the GCF number.
So the greatest common factor 489,5415 is 3.
Lets's calculate LCM of 715,820
| 5 | 715, 820 |
| 143, 164 |
∴ So the LCM of the given numbers is 5 x 143 x 164 = 117260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/117260
Therefore, the GCF of Fractions 489/715,5415/820 is 3/117260
Least Common Multiple of 715,820 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 715,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,820) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(715,820) x common factors =5 x 1 = 5
LCM(715,820) = ( 715 × 820 ) / 5
LCM(715,820) = 586300 / 5
LCM(715,820) = 117260
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FAQs on GCF of Fractions of 489/715, 5415/820
1. What is the HCF of 489,5415?
The HCF of 489,5415 is 3
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 489/715, 5415/820?
Answer: GCF of Numerators as per given numbers 489/715, 5415/820 is
GCF of Numerators i.e. for 489,5415 is 3
LCM of denominators i.e. for 715,820 is 117260.
Thus, GCF of Fractions is 3/117260.Finally, GCF of Fractions for 489/715, 5415/820 is 3/117260.