GCF of 8386/611, 9227/1091
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8386/611, 9227/1091 i.e 1/666601 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8386/611, 9227/1091.
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 8386/611,9227/1091?
Given fractions are 8386/611,9227/1091
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 8386/611,9227/1091, numerators are 8386,9227
Denominators are 611,1091
The GCF of 8386,9227 is 1 .
LCM of 611,1091 is 666601.
The greatest common factor of 8386/611,9227/1091 = [GCF of 8386,9227]/[LCM of 611,1091]= 1/666601
Therefore, the GCF of 8386/611,9227/1091 is 1/666601.
To find the highest common factor of 8386,9227, we have to find the factors of both numbers and list the highest common factor.
The factors of 8386 are 1, 2, 7, 14, 599, 1198, 4193, 8386
The factors of 9227 are 1, 9227
The HCF of 8386,9227 is 1.
Lets's calculate GCF of 8386,9227
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8386,9227 By Matching Biggest Common Factor Method
Now, list down the factors of 8386
:1,2,7,14,599,1198,4193,8386
Now, list down the factors of 9227
:1,9227
Greatest Common Factor
We found the factors 8386,9227 . The biggest common factor number is the GCF number.
So the greatest common factor 8386,9227 is 1.
Lets's calculate LCM of 611,1091
Given numbers has no common factors except 1. So, there LCM is their product i.e 666601
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/666601
Therefore, the GCF of Fractions 8386/611,9227/1091 is 1/666601
Least Common Multiple of 611,1091 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 611,1091 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(611,1091) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(611,1091) x common factors =1 x 1 = 1
LCM(611,1091) = ( 611 × 1091 ) / 1
LCM(611,1091) = 666601 / 1
LCM(611,1091) = 666601
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FAQs on GCF of Fractions of 8386/611, 9227/1091
1. What is the HCF of 8386,9227?
The HCF of 8386,9227 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 8386/611, 9227/1091?
Answer: GCF of Numerators as per given numbers 8386/611, 9227/1091 is
GCF of Numerators i.e. for 8386,9227 is 1
LCM of denominators i.e. for 611,1091 is 666601.
Thus, GCF of Fractions is 1/666601.Finally, GCF of Fractions for 8386/611, 9227/1091 is 1/666601.