GCF of 3223/324, 2108/4159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3223/324, 2108/4159 i.e 1/1347516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3223/324, 2108/4159.
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 3223/324,2108/4159?
Given fractions are 3223/324,2108/4159
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 3223/324,2108/4159, numerators are 3223,2108
Denominators are 324,4159
The GCF of 3223,2108 is 1 .
LCM of 324,4159 is 1347516.
The greatest common factor of 3223/324,2108/4159 = [GCF of 3223,2108]/[LCM of 324,4159]= 1/1347516
Therefore, the GCF of 3223/324,2108/4159 is 1/1347516.
To find the highest common factor of 3223,2108, we have to find the factors of both numbers and list the highest common factor.
The factors of 3223 are 1, 11, 293, 3223
The factors of 2108 are 1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054, 2108
The HCF of 3223,2108 is 1.
Lets's calculate GCF of 3223,2108
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3223,2108 By Matching Biggest Common Factor Method
Now, list down the factors of 3223
:1,11,293,3223
Now, list down the factors of 2108
:1,2,4,17,31,34,62,68,124,527,1054,2108
Greatest Common Factor
We found the factors 3223,2108 . The biggest common factor number is the GCF number.
So the greatest common factor 3223,2108 is 1.
Lets's calculate LCM of 324,4159
Given numbers has no common factors except 1. So, there LCM is their product i.e 1347516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1347516
Therefore, the GCF of Fractions 3223/324,2108/4159 is 1/1347516
Least Common Multiple of 324,4159 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 324,4159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,4159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(324,4159) x common factors =1 x 1 = 1
LCM(324,4159) = ( 324 × 4159 ) / 1
LCM(324,4159) = 1347516 / 1
LCM(324,4159) = 1347516
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FAQs on GCF of Fractions of 3223/324, 2108/4159
1. What is the HCF of 3223,2108?
The HCF of 3223,2108 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 3223/324, 2108/4159?
Answer: GCF of Numerators as per given numbers 3223/324, 2108/4159 is
GCF of Numerators i.e. for 3223,2108 is 1
LCM of denominators i.e. for 324,4159 is 1347516.
Thus, GCF of Fractions is 1/1347516.Finally, GCF of Fractions for 3223/324, 2108/4159 is 1/1347516.