GCF of 3741/489, 5490/171
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3741/489, 5490/171 i.e 3/27873 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3741/489, 5490/171.
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 3741/489,5490/171?
Given fractions are 3741/489,5490/171
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 3741/489,5490/171, numerators are 3741,5490
Denominators are 489,171
The GCF of 3741,5490 is 3 .
LCM of 489,171 is 27873.
The greatest common factor of 3741/489,5490/171 = [GCF of 3741,5490]/[LCM of 489,171]= 3/27873
Therefore, the GCF of 3741/489,5490/171 is 3/27873.
To find the highest common factor of 3741,5490, we have to find the factors of both numbers and list the highest common factor.
The factors of 3741 are 1, 3, 29, 43, 87, 129, 1247, 3741
The factors of 5490 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 61, 90, 122, 183, 305, 366, 549, 610, 915, 1098, 1830, 2745, 5490
The HCF of 3741,5490 is 3.
Lets's calculate GCF of 3741,5490
| 3 | 3741, 5490 |
| 1247, 1830 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3741,5490 By Matching Biggest Common Factor Method
Now, list down the factors of 3741
:1,3,29,43,87,129,1247,3741
Now, list down the factors of 5490
:1,2,3,5,6,9,10,15,18,30,45,61,90,122,183,305,366,549,610,915,1098,1830,2745,5490
Greatest Common Factor
We found the factors 3741,5490 . The biggest common factor number is the GCF number.
So the greatest common factor 3741,5490 is 3.
Lets's calculate LCM of 489,171
| 3 | 489, 171 |
| 163, 57 |
∴ So the LCM of the given numbers is 3 x 163 x 57 = 27873
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/27873
Therefore, the GCF of Fractions 3741/489,5490/171 is 3/27873
Least Common Multiple of 489,171 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 489,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,171) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(489,171) x common factors =3 x 1 = 3
LCM(489,171) = ( 489 × 171 ) / 3
LCM(489,171) = 83619 / 3
LCM(489,171) = 27873
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FAQs on GCF of Fractions of 3741/489, 5490/171
1. What is the HCF of 3741,5490?
The HCF of 3741,5490 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 3741/489, 5490/171?
Answer: GCF of Numerators as per given numbers 3741/489, 5490/171 is
GCF of Numerators i.e. for 3741,5490 is 3
LCM of denominators i.e. for 489,171 is 27873.
Thus, GCF of Fractions is 3/27873.Finally, GCF of Fractions for 3741/489, 5490/171 is 3/27873.