GCF of 8509/305, 4185/347
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8509/305, 4185/347 i.e 1/105835 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8509/305, 4185/347.
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 8509/305,4185/347?
Given fractions are 8509/305,4185/347
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 8509/305,4185/347, numerators are 8509,4185
Denominators are 305,347
The GCF of 8509,4185 is 1 .
LCM of 305,347 is 105835.
The greatest common factor of 8509/305,4185/347 = [GCF of 8509,4185]/[LCM of 305,347]= 1/105835
Therefore, the GCF of 8509/305,4185/347 is 1/105835.
To find the highest common factor of 8509,4185, we have to find the factors of both numbers and list the highest common factor.
The factors of 8509 are 1, 67, 127, 8509
The factors of 4185 are 1, 3, 5, 9, 15, 27, 31, 45, 93, 135, 155, 279, 465, 837, 1395, 4185
The HCF of 8509,4185 is 1.
Lets's calculate GCF of 8509,4185
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8509,4185 By Matching Biggest Common Factor Method
Now, list down the factors of 8509
:1,67,127,8509
Now, list down the factors of 4185
:1,3,5,9,15,27,31,45,93,135,155,279,465,837,1395,4185
Greatest Common Factor
We found the factors 8509,4185 . The biggest common factor number is the GCF number.
So the greatest common factor 8509,4185 is 1.
Lets's calculate LCM of 305,347
Given numbers has no common factors except 1. So, there LCM is their product i.e 105835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105835
Therefore, the GCF of Fractions 8509/305,4185/347 is 1/105835
Least Common Multiple of 305,347 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 305,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,347) x common factors =1 x 1 = 1
LCM(305,347) = ( 305 × 347 ) / 1
LCM(305,347) = 105835 / 1
LCM(305,347) = 105835
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FAQs on GCF of Fractions of 8509/305, 4185/347
1. What is the HCF of 8509,4185?
The HCF of 8509,4185 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 8509/305, 4185/347?
Answer: GCF of Numerators as per given numbers 8509/305, 4185/347 is
GCF of Numerators i.e. for 8509,4185 is 1
LCM of denominators i.e. for 305,347 is 105835.
Thus, GCF of Fractions is 1/105835.Finally, GCF of Fractions for 8509/305, 4185/347 is 1/105835.