GCF of 2771/205, 6441/9253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2771/205, 6441/9253 i.e 1/1896865 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2771/205, 6441/9253.
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 2771/205,6441/9253?
Given fractions are 2771/205,6441/9253
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 2771/205,6441/9253, numerators are 2771,6441
Denominators are 205,9253
The GCF of 2771,6441 is 1 .
LCM of 205,9253 is 1896865.
The greatest common factor of 2771/205,6441/9253 = [GCF of 2771,6441]/[LCM of 205,9253]= 1/1896865
Therefore, the GCF of 2771/205,6441/9253 is 1/1896865.
To find the highest common factor of 2771,6441, we have to find the factors of both numbers and list the highest common factor.
The factors of 2771 are 1, 17, 163, 2771
The factors of 6441 are 1, 3, 19, 57, 113, 339, 2147, 6441
The HCF of 2771,6441 is 1.
Lets's calculate GCF of 2771,6441
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2771,6441 By Matching Biggest Common Factor Method
Now, list down the factors of 2771
:1,17,163,2771
Now, list down the factors of 6441
:1,3,19,57,113,339,2147,6441
Greatest Common Factor
We found the factors 2771,6441 . The biggest common factor number is the GCF number.
So the greatest common factor 2771,6441 is 1.
Lets's calculate LCM of 205,9253
Given numbers has no common factors except 1. So, there LCM is their product i.e 1896865
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1896865
Therefore, the GCF of Fractions 2771/205,6441/9253 is 1/1896865
Least Common Multiple of 205,9253 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 205,9253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,9253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(205,9253) x common factors =1 x 1 = 1
LCM(205,9253) = ( 205 × 9253 ) / 1
LCM(205,9253) = 1896865 / 1
LCM(205,9253) = 1896865
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FAQs on GCF of Fractions of 2771/205, 6441/9253
1. What is the HCF of 2771,6441?
The HCF of 2771,6441 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 2771/205, 6441/9253?
Answer: GCF of Numerators as per given numbers 2771/205, 6441/9253 is
GCF of Numerators i.e. for 2771,6441 is 1
LCM of denominators i.e. for 205,9253 is 1896865.
Thus, GCF of Fractions is 1/1896865.Finally, GCF of Fractions for 2771/205, 6441/9253 is 1/1896865.