GCF of 3861/945, 9405/2239
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3861/945, 9405/2239 i.e 99/2115855 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3861/945, 9405/2239.
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 3861/945,9405/2239?
Given fractions are 3861/945,9405/2239
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 3861/945,9405/2239, numerators are 3861,9405
Denominators are 945,2239
The GCF of 3861,9405 is 99 .
LCM of 945,2239 is 2115855.
The greatest common factor of 3861/945,9405/2239 = [GCF of 3861,9405]/[LCM of 945,2239]= 99/2115855
Therefore, the GCF of 3861/945,9405/2239 is 99/2115855.
To find the highest common factor of 3861,9405, we have to find the factors of both numbers and list the highest common factor.
The factors of 3861 are 1, 3, 9, 11, 13, 27, 33, 39, 99, 117, 143, 297, 351, 429, 1287, 3861
The factors of 9405 are 1, 3, 5, 9, 11, 15, 19, 33, 45, 55, 57, 95, 99, 165, 171, 209, 285, 495, 627, 855, 1045, 1881, 3135, 9405
The HCF of 3861,9405 is 99.
Lets's calculate GCF of 3861,9405
| 3 | 3861, 9405 |
| 3 | 1287, 3135 |
| 11 | 429, 1045 |
| 39, 95 |
∴ So the GCF of the given numbers is 3 x 3 x 11 = 99
Greatest Common Factor of 3861,9405 By Matching Biggest Common Factor Method
Now, list down the factors of 3861
:1,3,9,11,13,27,33,39,99,117,143,297,351,429,1287,3861
Now, list down the factors of 9405
:1,3,5,9,11,15,19,33,45,55,57,95,99,165,171,209,285,495,627,855,1045,1881,3135,9405
Greatest Common Factor
We found the factors 3861,9405 . The biggest common factor number is the GCF number.
So the greatest common factor 3861,9405 is 99.
Lets's calculate LCM of 945,2239
Given numbers has no common factors except 1. So, there LCM is their product i.e 2115855
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 99/2115855
Therefore, the GCF of Fractions 3861/945,9405/2239 is 99/2115855
Least Common Multiple of 945,2239 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 945,2239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,2239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(945,2239) x common factors =1 x 1 = 1
LCM(945,2239) = ( 945 × 2239 ) / 1
LCM(945,2239) = 2115855 / 1
LCM(945,2239) = 2115855
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3861/945, 9405/2239
1. What is the HCF of 3861,9405?
The HCF of 3861,9405 is 99
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 3861/945, 9405/2239?
Answer: GCF of Numerators as per given numbers 3861/945, 9405/2239 is
GCF of Numerators i.e. for 3861,9405 is 99
LCM of denominators i.e. for 945,2239 is 2115855.
Thus, GCF of Fractions is 99/2115855.Finally, GCF of Fractions for 3861/945, 9405/2239 is 99/2115855.