GCF of 8211/589, 4731/3491
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8211/589, 4731/3491 i.e 3/2056199 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8211/589, 4731/3491.
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 8211/589,4731/3491?
Given fractions are 8211/589,4731/3491
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 8211/589,4731/3491, numerators are 8211,4731
Denominators are 589,3491
The GCF of 8211,4731 is 3 .
LCM of 589,3491 is 2056199.
The greatest common factor of 8211/589,4731/3491 = [GCF of 8211,4731]/[LCM of 589,3491]= 3/2056199
Therefore, the GCF of 8211/589,4731/3491 is 3/2056199.
To find the highest common factor of 8211,4731, we have to find the factors of both numbers and list the highest common factor.
The factors of 8211 are 1, 3, 7, 17, 21, 23, 51, 69, 119, 161, 357, 391, 483, 1173, 2737, 8211
The factors of 4731 are 1, 3, 19, 57, 83, 249, 1577, 4731
The HCF of 8211,4731 is 3.
Lets's calculate GCF of 8211,4731
| 3 | 8211, 4731 |
| 2737, 1577 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8211,4731 By Matching Biggest Common Factor Method
Now, list down the factors of 8211
:1,3,7,17,21,23,51,69,119,161,357,391,483,1173,2737,8211
Now, list down the factors of 4731
:1,3,19,57,83,249,1577,4731
Greatest Common Factor
We found the factors 8211,4731 . The biggest common factor number is the GCF number.
So the greatest common factor 8211,4731 is 3.
Lets's calculate LCM of 589,3491
Given numbers has no common factors except 1. So, there LCM is their product i.e 2056199
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2056199
Therefore, the GCF of Fractions 8211/589,4731/3491 is 3/2056199
Least Common Multiple of 589,3491 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 589,3491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,3491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,3491) x common factors =1 x 1 = 1
LCM(589,3491) = ( 589 × 3491 ) / 1
LCM(589,3491) = 2056199 / 1
LCM(589,3491) = 2056199
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FAQs on GCF of Fractions of 8211/589, 4731/3491
1. What is the HCF of 8211,4731?
The HCF of 8211,4731 is 3
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 8211/589, 4731/3491?
Answer: GCF of Numerators as per given numbers 8211/589, 4731/3491 is
GCF of Numerators i.e. for 8211,4731 is 3
LCM of denominators i.e. for 589,3491 is 2056199.
Thus, GCF of Fractions is 3/2056199.Finally, GCF of Fractions for 8211/589, 4731/3491 is 3/2056199.