GCF of 6109/111, 2235/415
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6109/111, 2235/415 i.e 149/46065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6109/111, 2235/415.
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 6109/111,2235/415?
Given fractions are 6109/111,2235/415
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 6109/111,2235/415, numerators are 6109,2235
Denominators are 111,415
The GCF of 6109,2235 is 149 .
LCM of 111,415 is 46065.
The greatest common factor of 6109/111,2235/415 = [GCF of 6109,2235]/[LCM of 111,415]= 149/46065
Therefore, the GCF of 6109/111,2235/415 is 149/46065.
To find the highest common factor of 6109,2235, we have to find the factors of both numbers and list the highest common factor.
The factors of 6109 are 1, 41, 149, 6109
The factors of 2235 are 1, 3, 5, 15, 149, 447, 745, 2235
The HCF of 6109,2235 is 149.
Lets's calculate GCF of 6109,2235
| 149 | 6109, 2235 |
| 41, 15 |
∴ So the GCF of the given numbers is 149 = 149
Greatest Common Factor of 6109,2235 By Matching Biggest Common Factor Method
Now, list down the factors of 6109
:1,41,149,6109
Now, list down the factors of 2235
:1,3,5,15,149,447,745,2235
Greatest Common Factor
We found the factors 6109,2235 . The biggest common factor number is the GCF number.
So the greatest common factor 6109,2235 is 149.
Lets's calculate LCM of 111,415
Given numbers has no common factors except 1. So, there LCM is their product i.e 46065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 149/46065
Therefore, the GCF of Fractions 6109/111,2235/415 is 149/46065
Least Common Multiple of 111,415 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 111,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,415) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(111,415) x common factors =1 x 1 = 1
LCM(111,415) = ( 111 × 415 ) / 1
LCM(111,415) = 46065 / 1
LCM(111,415) = 46065
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FAQs on GCF of Fractions of 6109/111, 2235/415
1. What is the HCF of 6109,2235?
The HCF of 6109,2235 is 149
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 6109/111, 2235/415?
Answer: GCF of Numerators as per given numbers 6109/111, 2235/415 is
GCF of Numerators i.e. for 6109,2235 is 149
LCM of denominators i.e. for 111,415 is 46065.
Thus, GCF of Fractions is 149/46065.Finally, GCF of Fractions for 6109/111, 2235/415 is 149/46065.