GCF of 5741/221, 1366/1949
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5741/221, 1366/1949 i.e 1/430729 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5741/221, 1366/1949.
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 5741/221,1366/1949?
Given fractions are 5741/221,1366/1949
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 5741/221,1366/1949, numerators are 5741,1366
Denominators are 221,1949
The GCF of 5741,1366 is 1 .
LCM of 221,1949 is 430729.
The greatest common factor of 5741/221,1366/1949 = [GCF of 5741,1366]/[LCM of 221,1949]= 1/430729
Therefore, the GCF of 5741/221,1366/1949 is 1/430729.
To find the highest common factor of 5741,1366, we have to find the factors of both numbers and list the highest common factor.
The factors of 5741 are 1, 5741
The factors of 1366 are 1, 2, 683, 1366
The HCF of 5741,1366 is 1.
Lets's calculate GCF of 5741,1366
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5741,1366 By Matching Biggest Common Factor Method
Now, list down the factors of 5741
:1,5741
Now, list down the factors of 1366
:1,2,683,1366
Greatest Common Factor
We found the factors 5741,1366 . The biggest common factor number is the GCF number.
So the greatest common factor 5741,1366 is 1.
Lets's calculate LCM of 221,1949
Given numbers has no common factors except 1. So, there LCM is their product i.e 430729
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/430729
Therefore, the GCF of Fractions 5741/221,1366/1949 is 1/430729
Least Common Multiple of 221,1949 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 221,1949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,1949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,1949) x common factors =1 x 1 = 1
LCM(221,1949) = ( 221 × 1949 ) / 1
LCM(221,1949) = 430729 / 1
LCM(221,1949) = 430729
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FAQs on GCF of Fractions of 5741/221, 1366/1949
1. What is the HCF of 5741,1366?
The HCF of 5741,1366 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 5741/221, 1366/1949?
Answer: GCF of Numerators as per given numbers 5741/221, 1366/1949 is
GCF of Numerators i.e. for 5741,1366 is 1
LCM of denominators i.e. for 221,1949 is 430729.
Thus, GCF of Fractions is 1/430729.Finally, GCF of Fractions for 5741/221, 1366/1949 is 1/430729.