GCF of 8007/163, 3109/407
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8007/163, 3109/407 i.e 1/66341 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8007/163, 3109/407.
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 8007/163,3109/407?
Given fractions are 8007/163,3109/407
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 8007/163,3109/407, numerators are 8007,3109
Denominators are 163,407
The GCF of 8007,3109 is 1 .
LCM of 163,407 is 66341.
The greatest common factor of 8007/163,3109/407 = [GCF of 8007,3109]/[LCM of 163,407]= 1/66341
Therefore, the GCF of 8007/163,3109/407 is 1/66341.
To find the highest common factor of 8007,3109, we have to find the factors of both numbers and list the highest common factor.
The factors of 8007 are 1, 3, 17, 51, 157, 471, 2669, 8007
The factors of 3109 are 1, 3109
The HCF of 8007,3109 is 1.
Lets's calculate GCF of 8007,3109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8007,3109 By Matching Biggest Common Factor Method
Now, list down the factors of 8007
:1,3,17,51,157,471,2669,8007
Now, list down the factors of 3109
:1,3109
Greatest Common Factor
We found the factors 8007,3109 . The biggest common factor number is the GCF number.
So the greatest common factor 8007,3109 is 1.
Lets's calculate LCM of 163,407
Given numbers has no common factors except 1. So, there LCM is their product i.e 66341
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66341
Therefore, the GCF of Fractions 8007/163,3109/407 is 1/66341
Least Common Multiple of 163,407 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 163,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,407) x common factors =1 x 1 = 1
LCM(163,407) = ( 163 × 407 ) / 1
LCM(163,407) = 66341 / 1
LCM(163,407) = 66341
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FAQs on GCF of Fractions of 8007/163, 3109/407
1. What is the HCF of 8007,3109?
The HCF of 8007,3109 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 8007/163, 3109/407?
Answer: GCF of Numerators as per given numbers 8007/163, 3109/407 is
GCF of Numerators i.e. for 8007,3109 is 1
LCM of denominators i.e. for 163,407 is 66341.
Thus, GCF of Fractions is 1/66341.Finally, GCF of Fractions for 8007/163, 3109/407 is 1/66341.