GCF of 7307/838, 8226/2147
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7307/838, 8226/2147 i.e 1/1799186 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7307/838, 8226/2147.
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 7307/838,8226/2147?
Given fractions are 7307/838,8226/2147
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 7307/838,8226/2147, numerators are 7307,8226
Denominators are 838,2147
The GCF of 7307,8226 is 1 .
LCM of 838,2147 is 1799186.
The greatest common factor of 7307/838,8226/2147 = [GCF of 7307,8226]/[LCM of 838,2147]= 1/1799186
Therefore, the GCF of 7307/838,8226/2147 is 1/1799186.
To find the highest common factor of 7307,8226, we have to find the factors of both numbers and list the highest common factor.
The factors of 7307 are 1, 7307
The factors of 8226 are 1, 2, 3, 6, 9, 18, 457, 914, 1371, 2742, 4113, 8226
The HCF of 7307,8226 is 1.
Lets's calculate GCF of 7307,8226
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7307,8226 By Matching Biggest Common Factor Method
Now, list down the factors of 7307
:1,7307
Now, list down the factors of 8226
:1,2,3,6,9,18,457,914,1371,2742,4113,8226
Greatest Common Factor
We found the factors 7307,8226 . The biggest common factor number is the GCF number.
So the greatest common factor 7307,8226 is 1.
Lets's calculate LCM of 838,2147
Given numbers has no common factors except 1. So, there LCM is their product i.e 1799186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1799186
Therefore, the GCF of Fractions 7307/838,8226/2147 is 1/1799186
Least Common Multiple of 838,2147 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 838,2147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,2147) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(838,2147) x common factors =1 x 1 = 1
LCM(838,2147) = ( 838 × 2147 ) / 1
LCM(838,2147) = 1799186 / 1
LCM(838,2147) = 1799186
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FAQs on GCF of Fractions of 7307/838, 8226/2147
1. What is the HCF of 7307,8226?
The HCF of 7307,8226 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 7307/838, 8226/2147?
Answer: GCF of Numerators as per given numbers 7307/838, 8226/2147 is
GCF of Numerators i.e. for 7307,8226 is 1
LCM of denominators i.e. for 838,2147 is 1799186.
Thus, GCF of Fractions is 1/1799186.Finally, GCF of Fractions for 7307/838, 8226/2147 is 1/1799186.