GCF of 6633/121, 4114/4409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6633/121, 4114/4409 i.e 11/533489 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6633/121, 4114/4409.
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 6633/121,4114/4409?
Given fractions are 6633/121,4114/4409
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 6633/121,4114/4409, numerators are 6633,4114
Denominators are 121,4409
The GCF of 6633,4114 is 11 .
LCM of 121,4409 is 533489.
The greatest common factor of 6633/121,4114/4409 = [GCF of 6633,4114]/[LCM of 121,4409]= 11/533489
Therefore, the GCF of 6633/121,4114/4409 is 11/533489.
To find the highest common factor of 6633,4114, we have to find the factors of both numbers and list the highest common factor.
The factors of 6633 are 1, 3, 9, 11, 33, 67, 99, 201, 603, 737, 2211, 6633
The factors of 4114 are 1, 2, 11, 17, 22, 34, 121, 187, 242, 374, 2057, 4114
The HCF of 6633,4114 is 11.
Lets's calculate GCF of 6633,4114
| 11 | 6633, 4114 |
| 603, 374 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 6633,4114 By Matching Biggest Common Factor Method
Now, list down the factors of 6633
:1,3,9,11,33,67,99,201,603,737,2211,6633
Now, list down the factors of 4114
:1,2,11,17,22,34,121,187,242,374,2057,4114
Greatest Common Factor
We found the factors 6633,4114 . The biggest common factor number is the GCF number.
So the greatest common factor 6633,4114 is 11.
Lets's calculate LCM of 121,4409
Given numbers has no common factors except 1. So, there LCM is their product i.e 533489
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/533489
Therefore, the GCF of Fractions 6633/121,4114/4409 is 11/533489
Least Common Multiple of 121,4409 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 121,4409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,4409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,4409) x common factors =1 x 1 = 1
LCM(121,4409) = ( 121 × 4409 ) / 1
LCM(121,4409) = 533489 / 1
LCM(121,4409) = 533489
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6633/121, 4114/4409
1. What is the HCF of 6633,4114?
The HCF of 6633,4114 is 11
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 6633/121, 4114/4409?
Answer: GCF of Numerators as per given numbers 6633/121, 4114/4409 is
GCF of Numerators i.e. for 6633,4114 is 11
LCM of denominators i.e. for 121,4409 is 533489.
Thus, GCF of Fractions is 11/533489.Finally, GCF of Fractions for 6633/121, 4114/4409 is 11/533489.