GCF of 5411/576, 2203/4113
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5411/576, 2203/4113 i.e 1/263232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5411/576, 2203/4113.
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 5411/576,2203/4113?
Given fractions are 5411/576,2203/4113
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 5411/576,2203/4113, numerators are 5411,2203
Denominators are 576,4113
The GCF of 5411,2203 is 1 .
LCM of 576,4113 is 263232.
The greatest common factor of 5411/576,2203/4113 = [GCF of 5411,2203]/[LCM of 576,4113]= 1/263232
Therefore, the GCF of 5411/576,2203/4113 is 1/263232.
To find the highest common factor of 5411,2203, 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 2203 are 1, 2203
The HCF of 5411,2203 is 1.
Lets's calculate GCF of 5411,2203
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5411,2203 By Matching Biggest Common Factor Method
Now, list down the factors of 5411
:1,7,773,5411
Now, list down the factors of 2203
:1,2203
Greatest Common Factor
We found the factors 5411,2203 . The biggest common factor number is the GCF number.
So the greatest common factor 5411,2203 is 1.
Lets's calculate LCM of 576,4113
| 3 | 576, 4113 |
| 3 | 192, 1371 |
| 64, 457 |
∴ So the LCM of the given numbers is 3 x 3 x 64 x 457 = 263232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/263232
Therefore, the GCF of Fractions 5411/576,2203/4113 is 1/263232
Least Common Multiple of 576,4113 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 576,4113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,4113) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(576,4113) x common factors =9 x 1 = 9
LCM(576,4113) = ( 576 × 4113 ) / 9
LCM(576,4113) = 2369088 / 9
LCM(576,4113) = 263232
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FAQs on GCF of Fractions of 5411/576, 2203/4113
1. What is the HCF of 5411,2203?
The HCF of 5411,2203 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 5411/576, 2203/4113?
Answer: GCF of Numerators as per given numbers 5411/576, 2203/4113 is
GCF of Numerators i.e. for 5411,2203 is 1
LCM of denominators i.e. for 576,4113 is 263232.
Thus, GCF of Fractions is 1/263232.Finally, GCF of Fractions for 5411/576, 2203/4113 is 1/263232.