GCF of 1227/271, 2092/6605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1227/271, 2092/6605 i.e 1/1789955 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1227/271, 2092/6605.
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 1227/271,2092/6605?
Given fractions are 1227/271,2092/6605
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 1227/271,2092/6605, numerators are 1227,2092
Denominators are 271,6605
The GCF of 1227,2092 is 1 .
LCM of 271,6605 is 1789955.
The greatest common factor of 1227/271,2092/6605 = [GCF of 1227,2092]/[LCM of 271,6605]= 1/1789955
Therefore, the GCF of 1227/271,2092/6605 is 1/1789955.
To find the highest common factor of 1227,2092, we have to find the factors of both numbers and list the highest common factor.
The factors of 1227 are 1, 3, 409, 1227
The factors of 2092 are 1, 2, 4, 523, 1046, 2092
The HCF of 1227,2092 is 1.
Lets's calculate GCF of 1227,2092
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1227,2092 By Matching Biggest Common Factor Method
Now, list down the factors of 1227
:1,3,409,1227
Now, list down the factors of 2092
:1,2,4,523,1046,2092
Greatest Common Factor
We found the factors 1227,2092 . The biggest common factor number is the GCF number.
So the greatest common factor 1227,2092 is 1.
Lets's calculate LCM of 271,6605
Given numbers has no common factors except 1. So, there LCM is their product i.e 1789955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1789955
Therefore, the GCF of Fractions 1227/271,2092/6605 is 1/1789955
Least Common Multiple of 271,6605 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 271,6605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,6605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,6605) x common factors =1 x 1 = 1
LCM(271,6605) = ( 271 × 6605 ) / 1
LCM(271,6605) = 1789955 / 1
LCM(271,6605) = 1789955
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FAQs on GCF of Fractions of 1227/271, 2092/6605
1. What is the HCF of 1227,2092?
The HCF of 1227,2092 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 1227/271, 2092/6605?
Answer: GCF of Numerators as per given numbers 1227/271, 2092/6605 is
GCF of Numerators i.e. for 1227,2092 is 1
LCM of denominators i.e. for 271,6605 is 1789955.
Thus, GCF of Fractions is 1/1789955.Finally, GCF of Fractions for 1227/271, 2092/6605 is 1/1789955.