GCF of 2000/805, 8847/8212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2000/805, 8847/8212 i.e 1/6610660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2000/805, 8847/8212.
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 2000/805,8847/8212?
Given fractions are 2000/805,8847/8212
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 2000/805,8847/8212, numerators are 2000,8847
Denominators are 805,8212
The GCF of 2000,8847 is 1 .
LCM of 805,8212 is 6610660.
The greatest common factor of 2000/805,8847/8212 = [GCF of 2000,8847]/[LCM of 805,8212]= 1/6610660
Therefore, the GCF of 2000/805,8847/8212 is 1/6610660.
To find the highest common factor of 2000,8847, we have to find the factors of both numbers and list the highest common factor.
The factors of 2000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 1000, 2000
The factors of 8847 are 1, 3, 9, 983, 2949, 8847
The HCF of 2000,8847 is 1.
Lets's calculate GCF of 2000,8847
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2000,8847 By Matching Biggest Common Factor Method
Now, list down the factors of 2000
:1,2,4,5,8,10,16,20,25,40,50,80,100,125,200,250,400,500,1000,2000
Now, list down the factors of 8847
:1,3,9,983,2949,8847
Greatest Common Factor
We found the factors 2000,8847 . The biggest common factor number is the GCF number.
So the greatest common factor 2000,8847 is 1.
Lets's calculate LCM of 805,8212
Given numbers has no common factors except 1. So, there LCM is their product i.e 6610660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6610660
Therefore, the GCF of Fractions 2000/805,8847/8212 is 1/6610660
Least Common Multiple of 805,8212 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 805,8212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,8212) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(805,8212) x common factors =1 x 1 = 1
LCM(805,8212) = ( 805 × 8212 ) / 1
LCM(805,8212) = 6610660 / 1
LCM(805,8212) = 6610660
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FAQs on GCF of Fractions of 2000/805, 8847/8212
1. What is the HCF of 2000,8847?
The HCF of 2000,8847 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 2000/805, 8847/8212?
Answer: GCF of Numerators as per given numbers 2000/805, 8847/8212 is
GCF of Numerators i.e. for 2000,8847 is 1
LCM of denominators i.e. for 805,8212 is 6610660.
Thus, GCF of Fractions is 1/6610660.Finally, GCF of Fractions for 2000/805, 8847/8212 is 1/6610660.