GCF of 2193/421, 5989/3463
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2193/421, 5989/3463 i.e 1/1457923 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2193/421, 5989/3463.
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 2193/421,5989/3463?
Given fractions are 2193/421,5989/3463
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 2193/421,5989/3463, numerators are 2193,5989
Denominators are 421,3463
The GCF of 2193,5989 is 1 .
LCM of 421,3463 is 1457923.
The greatest common factor of 2193/421,5989/3463 = [GCF of 2193,5989]/[LCM of 421,3463]= 1/1457923
Therefore, the GCF of 2193/421,5989/3463 is 1/1457923.
To find the highest common factor of 2193,5989, we have to find the factors of both numbers and list the highest common factor.
The factors of 2193 are 1, 3, 17, 43, 51, 129, 731, 2193
The factors of 5989 are 1, 53, 113, 5989
The HCF of 2193,5989 is 1.
Lets's calculate GCF of 2193,5989
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2193,5989 By Matching Biggest Common Factor Method
Now, list down the factors of 2193
:1,3,17,43,51,129,731,2193
Now, list down the factors of 5989
:1,53,113,5989
Greatest Common Factor
We found the factors 2193,5989 . The biggest common factor number is the GCF number.
So the greatest common factor 2193,5989 is 1.
Lets's calculate LCM of 421,3463
Given numbers has no common factors except 1. So, there LCM is their product i.e 1457923
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1457923
Therefore, the GCF of Fractions 2193/421,5989/3463 is 1/1457923
Least Common Multiple of 421,3463 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 421,3463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,3463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,3463) x common factors =1 x 1 = 1
LCM(421,3463) = ( 421 × 3463 ) / 1
LCM(421,3463) = 1457923 / 1
LCM(421,3463) = 1457923
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FAQs on GCF of Fractions of 2193/421, 5989/3463
1. What is the HCF of 2193,5989?
The HCF of 2193,5989 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 2193/421, 5989/3463?
Answer: GCF of Numerators as per given numbers 2193/421, 5989/3463 is
GCF of Numerators i.e. for 2193,5989 is 1
LCM of denominators i.e. for 421,3463 is 1457923.
Thus, GCF of Fractions is 1/1457923.Finally, GCF of Fractions for 2193/421, 5989/3463 is 1/1457923.