GCF of 4687/489, 4905/4403
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4687/489, 4905/4403 i.e 109/2153067 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4687/489, 4905/4403.
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 4687/489,4905/4403?
Given fractions are 4687/489,4905/4403
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 4687/489,4905/4403, numerators are 4687,4905
Denominators are 489,4403
The GCF of 4687,4905 is 109 .
LCM of 489,4403 is 2153067.
The greatest common factor of 4687/489,4905/4403 = [GCF of 4687,4905]/[LCM of 489,4403]= 109/2153067
Therefore, the GCF of 4687/489,4905/4403 is 109/2153067.
To find the highest common factor of 4687,4905, we have to find the factors of both numbers and list the highest common factor.
The factors of 4687 are 1, 43, 109, 4687
The factors of 4905 are 1, 3, 5, 9, 15, 45, 109, 327, 545, 981, 1635, 4905
The HCF of 4687,4905 is 109.
Lets's calculate GCF of 4687,4905
| 109 | 4687, 4905 |
| 43, 45 |
∴ So the GCF of the given numbers is 109 = 109
Greatest Common Factor of 4687,4905 By Matching Biggest Common Factor Method
Now, list down the factors of 4687
:1,43,109,4687
Now, list down the factors of 4905
:1,3,5,9,15,45,109,327,545,981,1635,4905
Greatest Common Factor
We found the factors 4687,4905 . The biggest common factor number is the GCF number.
So the greatest common factor 4687,4905 is 109.
Lets's calculate LCM of 489,4403
Given numbers has no common factors except 1. So, there LCM is their product i.e 2153067
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 109/2153067
Therefore, the GCF of Fractions 4687/489,4905/4403 is 109/2153067
Least Common Multiple of 489,4403 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 489,4403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,4403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(489,4403) x common factors =1 x 1 = 1
LCM(489,4403) = ( 489 × 4403 ) / 1
LCM(489,4403) = 2153067 / 1
LCM(489,4403) = 2153067
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FAQs on GCF of Fractions of 4687/489, 4905/4403
1. What is the HCF of 4687,4905?
The HCF of 4687,4905 is 109
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 4687/489, 4905/4403?
Answer: GCF of Numerators as per given numbers 4687/489, 4905/4403 is
GCF of Numerators i.e. for 4687,4905 is 109
LCM of denominators i.e. for 489,4403 is 2153067.
Thus, GCF of Fractions is 109/2153067.Finally, GCF of Fractions for 4687/489, 4905/4403 is 109/2153067.