GCF of 3861/315, 5405/9033
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3861/315, 5405/9033 i.e 1/948465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3861/315, 5405/9033.
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 3861/315,5405/9033?
Given fractions are 3861/315,5405/9033
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 3861/315,5405/9033, numerators are 3861,5405
Denominators are 315,9033
The GCF of 3861,5405 is 1 .
LCM of 315,9033 is 948465.
The greatest common factor of 3861/315,5405/9033 = [GCF of 3861,5405]/[LCM of 315,9033]= 1/948465
Therefore, the GCF of 3861/315,5405/9033 is 1/948465.
To find the highest common factor of 3861,5405, 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 5405 are 1, 5, 23, 47, 115, 235, 1081, 5405
The HCF of 3861,5405 is 1.
Lets's calculate GCF of 3861,5405
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3861,5405 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 5405
:1,5,23,47,115,235,1081,5405
Greatest Common Factor
We found the factors 3861,5405 . The biggest common factor number is the GCF number.
So the greatest common factor 3861,5405 is 1.
Lets's calculate LCM of 315,9033
| 3 | 315, 9033 |
| 105, 3011 |
∴ So the LCM of the given numbers is 3 x 105 x 3011 = 948465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/948465
Therefore, the GCF of Fractions 3861/315,5405/9033 is 1/948465
Least Common Multiple of 315,9033 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 315,9033 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,9033) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(315,9033) x common factors =3 x 1 = 3
LCM(315,9033) = ( 315 × 9033 ) / 3
LCM(315,9033) = 2845395 / 3
LCM(315,9033) = 948465
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FAQs on GCF of Fractions of 3861/315, 5405/9033
1. What is the HCF of 3861,5405?
The HCF of 3861,5405 is 1
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 3861/315, 5405/9033?
Answer: GCF of Numerators as per given numbers 3861/315, 5405/9033 is
GCF of Numerators i.e. for 3861,5405 is 1
LCM of denominators i.e. for 315,9033 is 948465.
Thus, GCF of Fractions is 1/948465.Finally, GCF of Fractions for 3861/315, 5405/9033 is 1/948465.