GCF of 8463/203, 3228/409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8463/203, 3228/409 i.e 3/83027 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8463/203, 3228/409.
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 8463/203,3228/409?
Given fractions are 8463/203,3228/409
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 8463/203,3228/409, numerators are 8463,3228
Denominators are 203,409
The GCF of 8463,3228 is 3 .
LCM of 203,409 is 83027.
The greatest common factor of 8463/203,3228/409 = [GCF of 8463,3228]/[LCM of 203,409]= 3/83027
Therefore, the GCF of 8463/203,3228/409 is 3/83027.
To find the highest common factor of 8463,3228, we have to find the factors of both numbers and list the highest common factor.
The factors of 8463 are 1, 3, 7, 13, 21, 31, 39, 91, 93, 217, 273, 403, 651, 1209, 2821, 8463
The factors of 3228 are 1, 2, 3, 4, 6, 12, 269, 538, 807, 1076, 1614, 3228
The HCF of 8463,3228 is 3.
Lets's calculate GCF of 8463,3228
| 3 | 8463, 3228 |
| 2821, 1076 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8463,3228 By Matching Biggest Common Factor Method
Now, list down the factors of 8463
:1,3,7,13,21,31,39,91,93,217,273,403,651,1209,2821,8463
Now, list down the factors of 3228
:1,2,3,4,6,12,269,538,807,1076,1614,3228
Greatest Common Factor
We found the factors 8463,3228 . The biggest common factor number is the GCF number.
So the greatest common factor 8463,3228 is 3.
Lets's calculate LCM of 203,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 83027
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/83027
Therefore, the GCF of Fractions 8463/203,3228/409 is 3/83027
Least Common Multiple of 203,409 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 203,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,409) x common factors =1 x 1 = 1
LCM(203,409) = ( 203 × 409 ) / 1
LCM(203,409) = 83027 / 1
LCM(203,409) = 83027
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FAQs on GCF of Fractions of 8463/203, 3228/409
1. What is the HCF of 8463,3228?
The HCF of 8463,3228 is 3
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 8463/203, 3228/409?
Answer: GCF of Numerators as per given numbers 8463/203, 3228/409 is
GCF of Numerators i.e. for 8463,3228 is 3
LCM of denominators i.e. for 203,409 is 83027.
Thus, GCF of Fractions is 3/83027.Finally, GCF of Fractions for 8463/203, 3228/409 is 3/83027.