GCF of 4133/561, 2966/6633
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4133/561, 2966/6633 i.e 1/112761 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4133/561, 2966/6633.
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 4133/561,2966/6633?
Given fractions are 4133/561,2966/6633
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 4133/561,2966/6633, numerators are 4133,2966
Denominators are 561,6633
The GCF of 4133,2966 is 1 .
LCM of 561,6633 is 112761.
The greatest common factor of 4133/561,2966/6633 = [GCF of 4133,2966]/[LCM of 561,6633]= 1/112761
Therefore, the GCF of 4133/561,2966/6633 is 1/112761.
To find the highest common factor of 4133,2966, we have to find the factors of both numbers and list the highest common factor.
The factors of 4133 are 1, 4133
The factors of 2966 are 1, 2, 1483, 2966
The HCF of 4133,2966 is 1.
Lets's calculate GCF of 4133,2966
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4133,2966 By Matching Biggest Common Factor Method
Now, list down the factors of 4133
:1,4133
Now, list down the factors of 2966
:1,2,1483,2966
Greatest Common Factor
We found the factors 4133,2966 . The biggest common factor number is the GCF number.
So the greatest common factor 4133,2966 is 1.
Lets's calculate LCM of 561,6633
| 3 | 561, 6633 |
| 11 | 187, 2211 |
| 17, 201 |
∴ So the LCM of the given numbers is 3 x 11 x 17 x 201 = 112761
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112761
Therefore, the GCF of Fractions 4133/561,2966/6633 is 1/112761
Least Common Multiple of 561,6633 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 561,6633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,6633) = 33
common factors(in case of two or more numbers have common factors) = 1
GCF(561,6633) x common factors =33 x 1 = 33
LCM(561,6633) = ( 561 × 6633 ) / 33
LCM(561,6633) = 3721113 / 33
LCM(561,6633) = 112761
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FAQs on GCF of Fractions of 4133/561, 2966/6633
1. What is the HCF of 4133,2966?
The HCF of 4133,2966 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 4133/561, 2966/6633?
Answer: GCF of Numerators as per given numbers 4133/561, 2966/6633 is
GCF of Numerators i.e. for 4133,2966 is 1
LCM of denominators i.e. for 561,6633 is 112761.
Thus, GCF of Fractions is 1/112761.Finally, GCF of Fractions for 4133/561, 2966/6633 is 1/112761.