GCF of 8087/684, 4905/4105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8087/684, 4905/4105 i.e 1/2807820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8087/684, 4905/4105.
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 8087/684,4905/4105?
Given fractions are 8087/684,4905/4105
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 8087/684,4905/4105, numerators are 8087,4905
Denominators are 684,4105
The GCF of 8087,4905 is 1 .
LCM of 684,4105 is 2807820.
The greatest common factor of 8087/684,4905/4105 = [GCF of 8087,4905]/[LCM of 684,4105]= 1/2807820
Therefore, the GCF of 8087/684,4905/4105 is 1/2807820.
To find the highest common factor of 8087,4905, we have to find the factors of both numbers and list the highest common factor.
The factors of 8087 are 1, 8087
The factors of 4905 are 1, 3, 5, 9, 15, 45, 109, 327, 545, 981, 1635, 4905
The HCF of 8087,4905 is 1.
Lets's calculate GCF of 8087,4905
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8087,4905 By Matching Biggest Common Factor Method
Now, list down the factors of 8087
:1,8087
Now, list down the factors of 4905
:1,3,5,9,15,45,109,327,545,981,1635,4905
Greatest Common Factor
We found the factors 8087,4905 . The biggest common factor number is the GCF number.
So the greatest common factor 8087,4905 is 1.
Lets's calculate LCM of 684,4105
Given numbers has no common factors except 1. So, there LCM is their product i.e 2807820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2807820
Therefore, the GCF of Fractions 8087/684,4905/4105 is 1/2807820
Least Common Multiple of 684,4105 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 684,4105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,4105) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(684,4105) x common factors =1 x 1 = 1
LCM(684,4105) = ( 684 × 4105 ) / 1
LCM(684,4105) = 2807820 / 1
LCM(684,4105) = 2807820
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FAQs on GCF of Fractions of 8087/684, 4905/4105
1. What is the HCF of 8087,4905?
The HCF of 8087,4905 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 8087/684, 4905/4105?
Answer: GCF of Numerators as per given numbers 8087/684, 4905/4105 is
GCF of Numerators i.e. for 8087,4905 is 1
LCM of denominators i.e. for 684,4105 is 2807820.
Thus, GCF of Fractions is 1/2807820.Finally, GCF of Fractions for 8087/684, 4905/4105 is 1/2807820.