GCF of 5411/381, 4561/549
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5411/381, 4561/549 i.e 1/69723 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5411/381, 4561/549.
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 5411/381,4561/549?
Given fractions are 5411/381,4561/549
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 5411/381,4561/549, numerators are 5411,4561
Denominators are 381,549
The GCF of 5411,4561 is 1 .
LCM of 381,549 is 69723.
The greatest common factor of 5411/381,4561/549 = [GCF of 5411,4561]/[LCM of 381,549]= 1/69723
Therefore, the GCF of 5411/381,4561/549 is 1/69723.
To find the highest common factor of 5411,4561, we have to find the factors of both numbers and list the highest common factor.
The factors of 5411 are 1, 7, 773, 5411
The factors of 4561 are 1, 4561
The HCF of 5411,4561 is 1.
Lets's calculate GCF of 5411,4561
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5411,4561 By Matching Biggest Common Factor Method
Now, list down the factors of 5411
:1,7,773,5411
Now, list down the factors of 4561
:1,4561
Greatest Common Factor
We found the factors 5411,4561 . The biggest common factor number is the GCF number.
So the greatest common factor 5411,4561 is 1.
Lets's calculate LCM of 381,549
| 3 | 381, 549 |
| 127, 183 |
∴ So the LCM of the given numbers is 3 x 127 x 183 = 69723
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69723
Therefore, the GCF of Fractions 5411/381,4561/549 is 1/69723
Least Common Multiple of 381,549 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 381,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,549) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(381,549) x common factors =3 x 1 = 3
LCM(381,549) = ( 381 × 549 ) / 3
LCM(381,549) = 209169 / 3
LCM(381,549) = 69723
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FAQs on GCF of Fractions of 5411/381, 4561/549
1. What is the HCF of 5411,4561?
The HCF of 5411,4561 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 5411/381, 4561/549?
Answer: GCF of Numerators as per given numbers 5411/381, 4561/549 is
GCF of Numerators i.e. for 5411,4561 is 1
LCM of denominators i.e. for 381,549 is 69723.
Thus, GCF of Fractions is 1/69723.Finally, GCF of Fractions for 5411/381, 4561/549 is 1/69723.