GCF of 4610/999, 5435/2106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4610/999, 5435/2106 i.e 5/77922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4610/999, 5435/2106.
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 4610/999,5435/2106?
Given fractions are 4610/999,5435/2106
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 4610/999,5435/2106, numerators are 4610,5435
Denominators are 999,2106
The GCF of 4610,5435 is 5 .
LCM of 999,2106 is 77922.
The greatest common factor of 4610/999,5435/2106 = [GCF of 4610,5435]/[LCM of 999,2106]= 5/77922
Therefore, the GCF of 4610/999,5435/2106 is 5/77922.
To find the highest common factor of 4610,5435, we have to find the factors of both numbers and list the highest common factor.
The factors of 4610 are 1, 2, 5, 10, 461, 922, 2305, 4610
The factors of 5435 are 1, 5, 1087, 5435
The HCF of 4610,5435 is 5.
Lets's calculate GCF of 4610,5435
| 5 | 4610, 5435 |
| 922, 1087 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4610,5435 By Matching Biggest Common Factor Method
Now, list down the factors of 4610
:1,2,5,10,461,922,2305,4610
Now, list down the factors of 5435
:1,5,1087,5435
Greatest Common Factor
We found the factors 4610,5435 . The biggest common factor number is the GCF number.
So the greatest common factor 4610,5435 is 5.
Lets's calculate LCM of 999,2106
| 3 | 999, 2106 |
| 3 | 333, 702 |
| 3 | 111, 234 |
| 37, 78 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 37 x 78 = 77922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/77922
Therefore, the GCF of Fractions 4610/999,5435/2106 is 5/77922
Least Common Multiple of 999,2106 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 999,2106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,2106) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(999,2106) x common factors =27 x 1 = 27
LCM(999,2106) = ( 999 × 2106 ) / 27
LCM(999,2106) = 2103894 / 27
LCM(999,2106) = 77922
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4610/999, 5435/2106
1. What is the HCF of 4610,5435?
The HCF of 4610,5435 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 4610/999, 5435/2106?
Answer: GCF of Numerators as per given numbers 4610/999, 5435/2106 is
GCF of Numerators i.e. for 4610,5435 is 5
LCM of denominators i.e. for 999,2106 is 77922.
Thus, GCF of Fractions is 5/77922.Finally, GCF of Fractions for 4610/999, 5435/2106 is 5/77922.