GCF of 8217/413, 8383/5144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8217/413, 8383/5144 i.e 83/2124472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8217/413, 8383/5144.
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 8217/413,8383/5144?
Given fractions are 8217/413,8383/5144
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 8217/413,8383/5144, numerators are 8217,8383
Denominators are 413,5144
The GCF of 8217,8383 is 83 .
LCM of 413,5144 is 2124472.
The greatest common factor of 8217/413,8383/5144 = [GCF of 8217,8383]/[LCM of 413,5144]= 83/2124472
Therefore, the GCF of 8217/413,8383/5144 is 83/2124472.
To find the highest common factor of 8217,8383, we have to find the factors of both numbers and list the highest common factor.
The factors of 8217 are 1, 3, 9, 11, 33, 83, 99, 249, 747, 913, 2739, 8217
The factors of 8383 are 1, 83, 101, 8383
The HCF of 8217,8383 is 83.
Lets's calculate GCF of 8217,8383
| 83 | 8217, 8383 |
| 99, 101 |
∴ So the GCF of the given numbers is 83 = 83
Greatest Common Factor of 8217,8383 By Matching Biggest Common Factor Method
Now, list down the factors of 8217
:1,3,9,11,33,83,99,249,747,913,2739,8217
Now, list down the factors of 8383
:1,83,101,8383
Greatest Common Factor
We found the factors 8217,8383 . The biggest common factor number is the GCF number.
So the greatest common factor 8217,8383 is 83.
Lets's calculate LCM of 413,5144
Given numbers has no common factors except 1. So, there LCM is their product i.e 2124472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 83/2124472
Therefore, the GCF of Fractions 8217/413,8383/5144 is 83/2124472
Least Common Multiple of 413,5144 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 413,5144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(413,5144) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(413,5144) x common factors =1 x 1 = 1
LCM(413,5144) = ( 413 × 5144 ) / 1
LCM(413,5144) = 2124472 / 1
LCM(413,5144) = 2124472
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FAQs on GCF of Fractions of 8217/413, 8383/5144
1. What is the HCF of 8217,8383?
The HCF of 8217,8383 is 83
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 8217/413, 8383/5144?
Answer: GCF of Numerators as per given numbers 8217/413, 8383/5144 is
GCF of Numerators i.e. for 8217,8383 is 83
LCM of denominators i.e. for 413,5144 is 2124472.
Thus, GCF of Fractions is 83/2124472.Finally, GCF of Fractions for 8217/413, 8383/5144 is 83/2124472.