GCF of 489/118, 381/314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 489/118, 381/314 i.e 3/18526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 489/118, 381/314.
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 489/118,381/314?
Given fractions are 489/118,381/314
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 489/118,381/314, numerators are 489,381
Denominators are 118,314
The GCF of 489,381 is 3 .
LCM of 118,314 is 18526.
The greatest common factor of 489/118,381/314 = [GCF of 489,381]/[LCM of 118,314]= 3/18526
Therefore, the GCF of 489/118,381/314 is 3/18526.
To find the highest common factor of 489,381, 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 381 are 1, 3, 127, 381
The HCF of 489,381 is 3.
Lets's calculate GCF of 489,381
| 3 | 489, 381 |
| 163, 127 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 489,381 By Matching Biggest Common Factor Method
Now, list down the factors of 489
:1,3,163,489
Now, list down the factors of 381
:1,3,127,381
Greatest Common Factor
We found the factors 489,381 . The biggest common factor number is the GCF number.
So the greatest common factor 489,381 is 3.
Lets's calculate LCM of 118,314
| 2 | 118, 314 |
| 59, 157 |
∴ So the LCM of the given numbers is 2 x 59 x 157 = 18526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18526
Therefore, the GCF of Fractions 489/118,381/314 is 3/18526
Least Common Multiple of 118,314 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 118,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,314) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(118,314) x common factors =2 x 1 = 2
LCM(118,314) = ( 118 × 314 ) / 2
LCM(118,314) = 37052 / 2
LCM(118,314) = 18526
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FAQs on GCF of Fractions of 489/118, 381/314
1. What is the HCF of 489,381?
The HCF of 489,381 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 489/118, 381/314?
Answer: GCF of Numerators as per given numbers 489/118, 381/314 is
GCF of Numerators i.e. for 489,381 is 3
LCM of denominators i.e. for 118,314 is 18526.
Thus, GCF of Fractions is 3/18526.Finally, GCF of Fractions for 489/118, 381/314 is 3/18526.