GCF of 3683/324, 5286/2196
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3683/324, 5286/2196 i.e 1/19764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3683/324, 5286/2196.
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 3683/324,5286/2196?
Given fractions are 3683/324,5286/2196
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 3683/324,5286/2196, numerators are 3683,5286
Denominators are 324,2196
The GCF of 3683,5286 is 1 .
LCM of 324,2196 is 19764.
The greatest common factor of 3683/324,5286/2196 = [GCF of 3683,5286]/[LCM of 324,2196]= 1/19764
Therefore, the GCF of 3683/324,5286/2196 is 1/19764.
To find the highest common factor of 3683,5286, we have to find the factors of both numbers and list the highest common factor.
The factors of 3683 are 1, 29, 127, 3683
The factors of 5286 are 1, 2, 3, 6, 881, 1762, 2643, 5286
The HCF of 3683,5286 is 1.
Lets's calculate GCF of 3683,5286
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3683,5286 By Matching Biggest Common Factor Method
Now, list down the factors of 3683
:1,29,127,3683
Now, list down the factors of 5286
:1,2,3,6,881,1762,2643,5286
Greatest Common Factor
We found the factors 3683,5286 . The biggest common factor number is the GCF number.
So the greatest common factor 3683,5286 is 1.
Lets's calculate LCM of 324,2196
| 2 | 324, 2196 |
| 2 | 162, 1098 |
| 3 | 81, 549 |
| 3 | 27, 183 |
| 9, 61 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 9 x 61 = 19764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19764
Therefore, the GCF of Fractions 3683/324,5286/2196 is 1/19764
Least Common Multiple of 324,2196 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 324,2196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,2196) = 36
common factors(in case of two or more numbers have common factors) = 1
GCF(324,2196) x common factors =36 x 1 = 36
LCM(324,2196) = ( 324 × 2196 ) / 36
LCM(324,2196) = 711504 / 36
LCM(324,2196) = 19764
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FAQs on GCF of Fractions of 3683/324, 5286/2196
1. What is the HCF of 3683,5286?
The HCF of 3683,5286 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 3683/324, 5286/2196?
Answer: GCF of Numerators as per given numbers 3683/324, 5286/2196 is
GCF of Numerators i.e. for 3683,5286 is 1
LCM of denominators i.e. for 324,2196 is 19764.
Thus, GCF of Fractions is 1/19764.Finally, GCF of Fractions for 3683/324, 5286/2196 is 1/19764.