GCF of 8305/399, 3907/206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8305/399, 3907/206 i.e 1/82194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8305/399, 3907/206.
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 8305/399,3907/206?
Given fractions are 8305/399,3907/206
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 8305/399,3907/206, numerators are 8305,3907
Denominators are 399,206
The GCF of 8305,3907 is 1 .
LCM of 399,206 is 82194.
The greatest common factor of 8305/399,3907/206 = [GCF of 8305,3907]/[LCM of 399,206]= 1/82194
Therefore, the GCF of 8305/399,3907/206 is 1/82194.
To find the highest common factor of 8305,3907, we have to find the factors of both numbers and list the highest common factor.
The factors of 8305 are 1, 5, 11, 55, 151, 755, 1661, 8305
The factors of 3907 are 1, 3907
The HCF of 8305,3907 is 1.
Lets's calculate GCF of 8305,3907
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8305,3907 By Matching Biggest Common Factor Method
Now, list down the factors of 8305
:1,5,11,55,151,755,1661,8305
Now, list down the factors of 3907
:1,3907
Greatest Common Factor
We found the factors 8305,3907 . The biggest common factor number is the GCF number.
So the greatest common factor 8305,3907 is 1.
Lets's calculate LCM of 399,206
Given numbers has no common factors except 1. So, there LCM is their product i.e 82194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82194
Therefore, the GCF of Fractions 8305/399,3907/206 is 1/82194
Least Common Multiple of 399,206 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 399,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,206) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(399,206) x common factors =1 x 1 = 1
LCM(399,206) = ( 399 × 206 ) / 1
LCM(399,206) = 82194 / 1
LCM(399,206) = 82194
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FAQs on GCF of Fractions of 8305/399, 3907/206
1. What is the HCF of 8305,3907?
The HCF of 8305,3907 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 8305/399, 3907/206?
Answer: GCF of Numerators as per given numbers 8305/399, 3907/206 is
GCF of Numerators i.e. for 8305,3907 is 1
LCM of denominators i.e. for 399,206 is 82194.
Thus, GCF of Fractions is 1/82194.Finally, GCF of Fractions for 8305/399, 3907/206 is 1/82194.