GCF of 6195/101, 8154/2121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6195/101, 8154/2121 i.e 3/2121 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6195/101, 8154/2121.
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 6195/101,8154/2121?
Given fractions are 6195/101,8154/2121
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 6195/101,8154/2121, numerators are 6195,8154
Denominators are 101,2121
The GCF of 6195,8154 is 3 .
LCM of 101,2121 is 2121.
The greatest common factor of 6195/101,8154/2121 = [GCF of 6195,8154]/[LCM of 101,2121]= 3/2121
Therefore, the GCF of 6195/101,8154/2121 is 3/2121.
To find the highest common factor of 6195,8154, we have to find the factors of both numbers and list the highest common factor.
The factors of 6195 are 1, 3, 5, 7, 15, 21, 35, 59, 105, 177, 295, 413, 885, 1239, 2065, 6195
The factors of 8154 are 1, 2, 3, 6, 9, 18, 27, 54, 151, 302, 453, 906, 1359, 2718, 4077, 8154
The HCF of 6195,8154 is 3.
Lets's calculate GCF of 6195,8154
| 3 | 6195, 8154 |
| 2065, 2718 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6195,8154 By Matching Biggest Common Factor Method
Now, list down the factors of 6195
:1,3,5,7,15,21,35,59,105,177,295,413,885,1239,2065,6195
Now, list down the factors of 8154
:1,2,3,6,9,18,27,54,151,302,453,906,1359,2718,4077,8154
Greatest Common Factor
We found the factors 6195,8154 . The biggest common factor number is the GCF number.
So the greatest common factor 6195,8154 is 3.
Lets's calculate LCM of 101,2121
| 101 | 101, 2121 |
| 1, 21 |
∴ So the LCM of the given numbers is 101 x 1 x 21 = 2121
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2121
Therefore, the GCF of Fractions 6195/101,8154/2121 is 3/2121
Least Common Multiple of 101,2121 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 101,2121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,2121) = 101
common factors(in case of two or more numbers have common factors) = 1
GCF(101,2121) x common factors =101 x 1 = 101
LCM(101,2121) = ( 101 × 2121 ) / 101
LCM(101,2121) = 214221 / 101
LCM(101,2121) = 2121
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6195/101, 8154/2121
1. What is the HCF of 6195,8154?
The HCF of 6195,8154 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 6195/101, 8154/2121?
Answer: GCF of Numerators as per given numbers 6195/101, 8154/2121 is
GCF of Numerators i.e. for 6195,8154 is 3
LCM of denominators i.e. for 101,2121 is 2121.
Thus, GCF of Fractions is 3/2121.Finally, GCF of Fractions for 6195/101, 8154/2121 is 3/2121.