GCF of 8683/586, 3971/809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8683/586, 3971/809 i.e 19/474074 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8683/586, 3971/809.
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 8683/586,3971/809?
Given fractions are 8683/586,3971/809
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 8683/586,3971/809, numerators are 8683,3971
Denominators are 586,809
The GCF of 8683,3971 is 19 .
LCM of 586,809 is 474074.
The greatest common factor of 8683/586,3971/809 = [GCF of 8683,3971]/[LCM of 586,809]= 19/474074
Therefore, the GCF of 8683/586,3971/809 is 19/474074.
To find the highest common factor of 8683,3971, we have to find the factors of both numbers and list the highest common factor.
The factors of 8683 are 1, 19, 457, 8683
The factors of 3971 are 1, 11, 19, 209, 361, 3971
The HCF of 8683,3971 is 19.
Lets's calculate GCF of 8683,3971
| 19 | 8683, 3971 |
| 457, 209 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 8683,3971 By Matching Biggest Common Factor Method
Now, list down the factors of 8683
:1,19,457,8683
Now, list down the factors of 3971
:1,11,19,209,361,3971
Greatest Common Factor
We found the factors 8683,3971 . The biggest common factor number is the GCF number.
So the greatest common factor 8683,3971 is 19.
Lets's calculate LCM of 586,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 474074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/474074
Therefore, the GCF of Fractions 8683/586,3971/809 is 19/474074
Least Common Multiple of 586,809 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 586,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(586,809) x common factors =1 x 1 = 1
LCM(586,809) = ( 586 × 809 ) / 1
LCM(586,809) = 474074 / 1
LCM(586,809) = 474074
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FAQs on GCF of Fractions of 8683/586, 3971/809
1. What is the HCF of 8683,3971?
The HCF of 8683,3971 is 19
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 8683/586, 3971/809?
Answer: GCF of Numerators as per given numbers 8683/586, 3971/809 is
GCF of Numerators i.e. for 8683,3971 is 19
LCM of denominators i.e. for 586,809 is 474074.
Thus, GCF of Fractions is 19/474074.Finally, GCF of Fractions for 8683/586, 3971/809 is 19/474074.