GCF of 4316/203, 8649/217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4316/203, 8649/217 i.e 1/6293 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4316/203, 8649/217.
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 4316/203,8649/217?
Given fractions are 4316/203,8649/217
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 4316/203,8649/217, numerators are 4316,8649
Denominators are 203,217
The GCF of 4316,8649 is 1 .
LCM of 203,217 is 6293.
The greatest common factor of 4316/203,8649/217 = [GCF of 4316,8649]/[LCM of 203,217]= 1/6293
Therefore, the GCF of 4316/203,8649/217 is 1/6293.
To find the highest common factor of 4316,8649, we have to find the factors of both numbers and list the highest common factor.
The factors of 4316 are 1, 2, 4, 13, 26, 52, 83, 166, 332, 1079, 2158, 4316
The factors of 8649 are 1, 3, 9, 31, 93, 279, 961, 2883, 8649
The HCF of 4316,8649 is 1.
Lets's calculate GCF of 4316,8649
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4316,8649 By Matching Biggest Common Factor Method
Now, list down the factors of 4316
:1,2,4,13,26,52,83,166,332,1079,2158,4316
Now, list down the factors of 8649
:1,3,9,31,93,279,961,2883,8649
Greatest Common Factor
We found the factors 4316,8649 . The biggest common factor number is the GCF number.
So the greatest common factor 4316,8649 is 1.
Lets's calculate LCM of 203,217
| 7 | 203, 217 |
| 29, 31 |
∴ So the LCM of the given numbers is 7 x 29 x 31 = 6293
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6293
Therefore, the GCF of Fractions 4316/203,8649/217 is 1/6293
Least Common Multiple of 203,217 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 203,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,217) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(203,217) x common factors =7 x 1 = 7
LCM(203,217) = ( 203 × 217 ) / 7
LCM(203,217) = 44051 / 7
LCM(203,217) = 6293
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FAQs on GCF of Fractions of 4316/203, 8649/217
1. What is the HCF of 4316,8649?
The HCF of 4316,8649 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 4316/203, 8649/217?
Answer: GCF of Numerators as per given numbers 4316/203, 8649/217 is
GCF of Numerators i.e. for 4316,8649 is 1
LCM of denominators i.e. for 203,217 is 6293.
Thus, GCF of Fractions is 1/6293.Finally, GCF of Fractions for 4316/203, 8649/217 is 1/6293.