GCF of 5541/205, 4731/660
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5541/205, 4731/660 i.e 3/27060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5541/205, 4731/660.
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 5541/205,4731/660?
Given fractions are 5541/205,4731/660
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 5541/205,4731/660, numerators are 5541,4731
Denominators are 205,660
The GCF of 5541,4731 is 3 .
LCM of 205,660 is 27060.
The greatest common factor of 5541/205,4731/660 = [GCF of 5541,4731]/[LCM of 205,660]= 3/27060
Therefore, the GCF of 5541/205,4731/660 is 3/27060.
To find the highest common factor of 5541,4731, we have to find the factors of both numbers and list the highest common factor.
The factors of 5541 are 1, 3, 1847, 5541
The factors of 4731 are 1, 3, 19, 57, 83, 249, 1577, 4731
The HCF of 5541,4731 is 3.
Lets's calculate GCF of 5541,4731
| 3 | 5541, 4731 |
| 1847, 1577 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5541,4731 By Matching Biggest Common Factor Method
Now, list down the factors of 5541
:1,3,1847,5541
Now, list down the factors of 4731
:1,3,19,57,83,249,1577,4731
Greatest Common Factor
We found the factors 5541,4731 . The biggest common factor number is the GCF number.
So the greatest common factor 5541,4731 is 3.
Lets's calculate LCM of 205,660
| 5 | 205, 660 |
| 41, 132 |
∴ So the LCM of the given numbers is 5 x 41 x 132 = 27060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/27060
Therefore, the GCF of Fractions 5541/205,4731/660 is 3/27060
Least Common Multiple of 205,660 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 205,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,660) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(205,660) x common factors =5 x 1 = 5
LCM(205,660) = ( 205 × 660 ) / 5
LCM(205,660) = 135300 / 5
LCM(205,660) = 27060
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FAQs on GCF of Fractions of 5541/205, 4731/660
1. What is the HCF of 5541,4731?
The HCF of 5541,4731 is 3
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 5541/205, 4731/660?
Answer: GCF of Numerators as per given numbers 5541/205, 4731/660 is
GCF of Numerators i.e. for 5541,4731 is 3
LCM of denominators i.e. for 205,660 is 27060.
Thus, GCF of Fractions is 3/27060.Finally, GCF of Fractions for 5541/205, 4731/660 is 3/27060.