GCF of 2610/489, 8545/1980
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2610/489, 8545/1980 i.e 5/322740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2610/489, 8545/1980.
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 2610/489,8545/1980?
Given fractions are 2610/489,8545/1980
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 2610/489,8545/1980, numerators are 2610,8545
Denominators are 489,1980
The GCF of 2610,8545 is 5 .
LCM of 489,1980 is 322740.
The greatest common factor of 2610/489,8545/1980 = [GCF of 2610,8545]/[LCM of 489,1980]= 5/322740
Therefore, the GCF of 2610/489,8545/1980 is 5/322740.
To find the highest common factor of 2610,8545, we have to find the factors of both numbers and list the highest common factor.
The factors of 2610 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 870, 1305, 2610
The factors of 8545 are 1, 5, 1709, 8545
The HCF of 2610,8545 is 5.
Lets's calculate GCF of 2610,8545
| 5 | 2610, 8545 |
| 522, 1709 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2610,8545 By Matching Biggest Common Factor Method
Now, list down the factors of 2610
:1,2,3,5,6,9,10,15,18,29,30,45,58,87,90,145,174,261,290,435,522,870,1305,2610
Now, list down the factors of 8545
:1,5,1709,8545
Greatest Common Factor
We found the factors 2610,8545 . The biggest common factor number is the GCF number.
So the greatest common factor 2610,8545 is 5.
Lets's calculate LCM of 489,1980
| 3 | 489, 1980 |
| 163, 660 |
∴ So the LCM of the given numbers is 3 x 163 x 660 = 322740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/322740
Therefore, the GCF of Fractions 2610/489,8545/1980 is 5/322740
Least Common Multiple of 489,1980 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 489,1980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,1980) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(489,1980) x common factors =3 x 1 = 3
LCM(489,1980) = ( 489 × 1980 ) / 3
LCM(489,1980) = 968220 / 3
LCM(489,1980) = 322740
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FAQs on GCF of Fractions of 2610/489, 8545/1980
1. What is the HCF of 2610,8545?
The HCF of 2610,8545 is 5
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 2610/489, 8545/1980?
Answer: GCF of Numerators as per given numbers 2610/489, 8545/1980 is
GCF of Numerators i.e. for 2610,8545 is 5
LCM of denominators i.e. for 489,1980 is 322740.
Thus, GCF of Fractions is 5/322740.Finally, GCF of Fractions for 2610/489, 8545/1980 is 5/322740.