GCF of 4890/489, 5475/8704
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4890/489, 5475/8704 i.e 15/4256256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4890/489, 5475/8704.
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 4890/489,5475/8704?
Given fractions are 4890/489,5475/8704
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 4890/489,5475/8704, numerators are 4890,5475
Denominators are 489,8704
The GCF of 4890,5475 is 15 .
LCM of 489,8704 is 4256256.
The greatest common factor of 4890/489,5475/8704 = [GCF of 4890,5475]/[LCM of 489,8704]= 15/4256256
Therefore, the GCF of 4890/489,5475/8704 is 15/4256256.
To find the highest common factor of 4890,5475, we have to find the factors of both numbers and list the highest common factor.
The factors of 4890 are 1, 2, 3, 5, 6, 10, 15, 30, 163, 326, 489, 815, 978, 1630, 2445, 4890
The factors of 5475 are 1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475
The HCF of 4890,5475 is 15.
Lets's calculate GCF of 4890,5475
| 3 | 4890, 5475 |
| 5 | 1630, 1825 |
| 326, 365 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 4890,5475 By Matching Biggest Common Factor Method
Now, list down the factors of 4890
:1,2,3,5,6,10,15,30,163,326,489,815,978,1630,2445,4890
Now, list down the factors of 5475
:1,3,5,15,25,73,75,219,365,1095,1825,5475
Greatest Common Factor
We found the factors 4890,5475 . The biggest common factor number is the GCF number.
So the greatest common factor 4890,5475 is 15.
Lets's calculate LCM of 489,8704
Given numbers has no common factors except 1. So, there LCM is their product i.e 4256256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/4256256
Therefore, the GCF of Fractions 4890/489,5475/8704 is 15/4256256
Least Common Multiple of 489,8704 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 489,8704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,8704) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(489,8704) x common factors =1 x 1 = 1
LCM(489,8704) = ( 489 × 8704 ) / 1
LCM(489,8704) = 4256256 / 1
LCM(489,8704) = 4256256
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FAQs on GCF of Fractions of 4890/489, 5475/8704
1. What is the HCF of 4890,5475?
The HCF of 4890,5475 is 15
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 4890/489, 5475/8704?
Answer: GCF of Numerators as per given numbers 4890/489, 5475/8704 is
GCF of Numerators i.e. for 4890,5475 is 15
LCM of denominators i.e. for 489,8704 is 4256256.
Thus, GCF of Fractions is 15/4256256.Finally, GCF of Fractions for 4890/489, 5475/8704 is 15/4256256.