GCF of 4122/201, 9812/1585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4122/201, 9812/1585 i.e 2/318585 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4122/201, 9812/1585.
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 4122/201,9812/1585?
Given fractions are 4122/201,9812/1585
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 4122/201,9812/1585, numerators are 4122,9812
Denominators are 201,1585
The GCF of 4122,9812 is 2 .
LCM of 201,1585 is 318585.
The greatest common factor of 4122/201,9812/1585 = [GCF of 4122,9812]/[LCM of 201,1585]= 2/318585
Therefore, the GCF of 4122/201,9812/1585 is 2/318585.
To find the highest common factor of 4122,9812, we have to find the factors of both numbers and list the highest common factor.
The factors of 4122 are 1, 2, 3, 6, 9, 18, 229, 458, 687, 1374, 2061, 4122
The factors of 9812 are 1, 2, 4, 11, 22, 44, 223, 446, 892, 2453, 4906, 9812
The HCF of 4122,9812 is 2.
Lets's calculate GCF of 4122,9812
| 2 | 4122, 9812 |
| 2061, 4906 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4122,9812 By Matching Biggest Common Factor Method
Now, list down the factors of 4122
:1,2,3,6,9,18,229,458,687,1374,2061,4122
Now, list down the factors of 9812
:1,2,4,11,22,44,223,446,892,2453,4906,9812
Greatest Common Factor
We found the factors 4122,9812 . The biggest common factor number is the GCF number.
So the greatest common factor 4122,9812 is 2.
Lets's calculate LCM of 201,1585
Given numbers has no common factors except 1. So, there LCM is their product i.e 318585
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/318585
Therefore, the GCF of Fractions 4122/201,9812/1585 is 2/318585
Least Common Multiple of 201,1585 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 201,1585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,1585) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(201,1585) x common factors =1 x 1 = 1
LCM(201,1585) = ( 201 × 1585 ) / 1
LCM(201,1585) = 318585 / 1
LCM(201,1585) = 318585
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4122/201, 9812/1585
1. What is the HCF of 4122,9812?
The HCF of 4122,9812 is 2
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 4122/201, 9812/1585?
Answer: GCF of Numerators as per given numbers 4122/201, 9812/1585 is
GCF of Numerators i.e. for 4122,9812 is 2
LCM of denominators i.e. for 201,1585 is 318585.
Thus, GCF of Fractions is 2/318585.Finally, GCF of Fractions for 4122/201, 9812/1585 is 2/318585.