GCF of 5683/909, 8343/6105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5683/909, 8343/6105 i.e 1/1849815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5683/909, 8343/6105.
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 5683/909,8343/6105?
Given fractions are 5683/909,8343/6105
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 5683/909,8343/6105, numerators are 5683,8343
Denominators are 909,6105
The GCF of 5683,8343 is 1 .
LCM of 909,6105 is 1849815.
The greatest common factor of 5683/909,8343/6105 = [GCF of 5683,8343]/[LCM of 909,6105]= 1/1849815
Therefore, the GCF of 5683/909,8343/6105 is 1/1849815.
To find the highest common factor of 5683,8343, we have to find the factors of both numbers and list the highest common factor.
The factors of 5683 are 1, 5683
The factors of 8343 are 1, 3, 9, 27, 81, 103, 309, 927, 2781, 8343
The HCF of 5683,8343 is 1.
Lets's calculate GCF of 5683,8343
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5683,8343 By Matching Biggest Common Factor Method
Now, list down the factors of 5683
:1,5683
Now, list down the factors of 8343
:1,3,9,27,81,103,309,927,2781,8343
Greatest Common Factor
We found the factors 5683,8343 . The biggest common factor number is the GCF number.
So the greatest common factor 5683,8343 is 1.
Lets's calculate LCM of 909,6105
| 3 | 909, 6105 |
| 303, 2035 |
∴ So the LCM of the given numbers is 3 x 303 x 2035 = 1849815
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1849815
Therefore, the GCF of Fractions 5683/909,8343/6105 is 1/1849815
Least Common Multiple of 909,6105 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 909,6105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,6105) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(909,6105) x common factors =3 x 1 = 3
LCM(909,6105) = ( 909 × 6105 ) / 3
LCM(909,6105) = 5549445 / 3
LCM(909,6105) = 1849815
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FAQs on GCF of Fractions of 5683/909, 8343/6105
1. What is the HCF of 5683,8343?
The HCF of 5683,8343 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 5683/909, 8343/6105?
Answer: GCF of Numerators as per given numbers 5683/909, 8343/6105 is
GCF of Numerators i.e. for 5683,8343 is 1
LCM of denominators i.e. for 909,6105 is 1849815.
Thus, GCF of Fractions is 1/1849815.Finally, GCF of Fractions for 5683/909, 8343/6105 is 1/1849815.