GCF of 86/728, 35/589, 385/447
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 86/728, 35/589, 385/447 i.e 1/191670024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/728, 35/589, 385/447.
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 86/728,35/589,385/447?
Given fractions are 86/728,35/589,385/447
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 86/728,35/589,385/447, numerators are 86,35,385
Denominators are 728,589,447
The GCF of 86,35,385 is 1 .
LCM of 728,589,447 is 191670024.
The greatest common factor of 86/728,35/589,385/447 = [GCF of 86,35,385]/[LCM of 728,589,447]= 1/191670024
Therefore, the GCF of 86/728,35/589,385/447 is 1/191670024.
To find the highest common factor of 86,35,385, we have to find the factors of both numbers and list the highest common factor.
The factors of 86 are 1, 2, 43, 86
The factors of 35 are 1, 5, 7, 35
The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385
The HCF of 86,35,385 is 1.
Lets's calculate GCF of 86,35,385
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 86,35,385 By Matching Biggest Common Factor Method
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 385
:1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 86,35,385 . The biggest common factor number is the GCF number.
So the greatest common factor 86,35,385 is 1.
Lets's calculate LCM of 728,589,447
Given numbers has no common factors except 1. So, there LCM is their product i.e 191670024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191670024
Therefore, the GCF of Fractions 86/728,35/589,385/447 is 1/191670024
Least Common Multiple of 728,589,447 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 728,589,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,589,447) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(728,589,447) x common factors =1 x 1 = 1
LCM(728,589,447) = ( 728 × 589 × 447 ) / 1
LCM(728,589,447) = 191670024 / 1
LCM(728,589,447) = 191670024
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FAQs on GCF of Fractions of 86/728, 35/589, 385/447
1. What is the HCF of 86,35,385?
The HCF of 86,35,385 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 86/728, 35/589, 385/447?
Answer: GCF of Numerators as per given numbers 86/728, 35/589, 385/447 is
GCF of Numerators i.e. for 86,35,385 is 1
LCM of denominators i.e. for 728,589,447 is 191670024.
Thus, GCF of Fractions is 1/191670024.Finally, GCF of Fractions for 86/728, 35/589, 385/447 is 1/191670024.