GCF of 8212/209, 4830/3877
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8212/209, 4830/3877 i.e 2/810293 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8212/209, 4830/3877.
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 8212/209,4830/3877?
Given fractions are 8212/209,4830/3877
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 8212/209,4830/3877, numerators are 8212,4830
Denominators are 209,3877
The GCF of 8212,4830 is 2 .
LCM of 209,3877 is 810293.
The greatest common factor of 8212/209,4830/3877 = [GCF of 8212,4830]/[LCM of 209,3877]= 2/810293
Therefore, the GCF of 8212/209,4830/3877 is 2/810293.
To find the highest common factor of 8212,4830, we have to find the factors of both numbers and list the highest common factor.
The factors of 8212 are 1, 2, 4, 2053, 4106, 8212
The factors of 4830 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 69, 70, 105, 115, 138, 161, 210, 230, 322, 345, 483, 690, 805, 966, 1610, 2415, 4830
The HCF of 8212,4830 is 2.
Lets's calculate GCF of 8212,4830
| 2 | 8212, 4830 |
| 4106, 2415 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8212,4830 By Matching Biggest Common Factor Method
Now, list down the factors of 8212
:1,2,4,2053,4106,8212
Now, list down the factors of 4830
:1,2,3,5,6,7,10,14,15,21,23,30,35,42,46,69,70,105,115,138,161,210,230,322,345,483,690,805,966,1610,2415,4830
Greatest Common Factor
We found the factors 8212,4830 . The biggest common factor number is the GCF number.
So the greatest common factor 8212,4830 is 2.
Lets's calculate LCM of 209,3877
Given numbers has no common factors except 1. So, there LCM is their product i.e 810293
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/810293
Therefore, the GCF of Fractions 8212/209,4830/3877 is 2/810293
Least Common Multiple of 209,3877 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 209,3877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,3877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,3877) x common factors =1 x 1 = 1
LCM(209,3877) = ( 209 × 3877 ) / 1
LCM(209,3877) = 810293 / 1
LCM(209,3877) = 810293
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FAQs on GCF of Fractions of 8212/209, 4830/3877
1. What is the HCF of 8212,4830?
The HCF of 8212,4830 is 2
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 8212/209, 4830/3877?
Answer: GCF of Numerators as per given numbers 8212/209, 4830/3877 is
GCF of Numerators i.e. for 8212,4830 is 2
LCM of denominators i.e. for 209,3877 is 810293.
Thus, GCF of Fractions is 2/810293.Finally, GCF of Fractions for 8212/209, 4830/3877 is 2/810293.